On a windy day, a 90 foot rope tightly secures a hot air balloon to a stake in the ground. From the balloon, the angle of depression of the stake is 62º. Find the height of the balloon to the nearest foot.
List your knowns and unknowns.
Solve the problem. Make sure your answer contains units and is labeled clearly.
Check your answer.
Write 2-4 sentences explaining your solution/checking process.

Answers

Answer 1

Answer:

79 ft

Step-by-step explanation:

Balloon - B, stake - S, point at ground - G

Given:

BS = 90 ftm∠BSG = 62°BG = x

Use sine and solve for x:

BG/BS = sin ∠BSGsin 62° = x / 90x = 90 sin 62 degx = 79 ft (rounded)

Related Questions

Maria's house is due south of Boise and due east of marching. Mamas house is 12 miles from Boise and 20 miles are marching. How far apart are Boise in marching as the crow flies? Round your answer to the nearest 10th

Answers

Answer:

23.32 Miles

Step-by-step explanation:

According to the Question,

Given, Maria's house is due south of Boise and due east of marching & Maria's house is 12 miles from Boise and 20 miles From marching .

(For Diagram Please Find in Attachment)

In Triangle ABC , Apply Pythagoras Theorem, We get

AC²=AB² + BC²

AC² = 12² + 20²

AC² = 544 ⇒ √544 ⇔ 23.32 miles

If f(x) = 5x – 2,
find f(3)
f(3) = 13
find f(-4)
|(-4) =
Enter your next step here!

Answers

Answer:

Step-by-step explanation:

f(x)=5x-2

f(3)=5*3-2

=15-2

=13

f(-4)=5*-4-2

=-20-2

=-22

Answer:

the answer is -22

Step-by-step explanation:

5*(-4)-2

= -22

Vis inversely proportional to r, when r = 3, V= 10.
Find the constant of proportionality.
For full credit, write a proportion and show work.
[Please help I have been stuck for an hour on this]

Answers

Answer:

Constant of proportionality = 30

Example: r = 6, V = 5

Step-by-step explanation:

Inverse proportion: V*r = constant

Given r=3, V=10, constant = V*r = 30

Example:

r = 6, V = 30/6 = 5

Write the error interval for x , where x=4.7 , truncated to 1 decimal place.

Answers

Error interval for x is 4.65 ≤ x < 4.75.

What is error interval?

Error intervals are the limits of accuracy when a number has been rounded or truncated. They are the range of possible values that a number could have been before it was rounded or truncated.

The error is rounding the number is half of the unit of measure.

The number was rounded to the nearest 0.1 unit. so the error is half of 0.1 which is [tex]\frac{1}{2}[/tex] × [tex]0.1[/tex] = 0.05

∵ 4.7 + 0.05 = 4.75

and 4.7 - 0.05 = 4.65

Error interval for x is 4.65 ≤ x < 4.75.

Find out more information about error interval here

https://brainly.com/question/14103550

#SPJ2

An ice cream shop has a sign in their window that says, "We sell 12,000 scoops per month." The number of scoops has been rounded. Which could be the number of scoops sold if they rounded to the nearest thousand? Choose all answers that apply

Answers

Answer:

B - 12,111

C - 11,589

Step-by-step explanation:

Here are the options

A - 10, 999

B - 12,111

C - 11,589

In order to round off to the nearest thousand, look at the hundred figure, if the number is greater or equal to 5, add 1 to the thousand figure. If this is not the case, add zero. Replace all the figures before the thousand figure with zero. i.e. the hundred ten, unit

Rounding off 10,999 to the nearest thousand is 11,000

the hundred figure is greater than 5, so one is added to the thousand figure. The

Rounding off 12,111 to the nearest thousand is 12,000

the hundred figure is less than 5, so zero is added to the thousand figure.

Rounding off 11,589 to the nearest thousand is 12,000

the hundred figure is equal to 5, so one is added to the thousand figure.

Alyssa opened a bank account that earns 1.5% simple interest. Over 4 years, she earned $72 in interest. How much money did
she initially deposit into the bank account?

Answers

Answer:

1200

Step-by-step explanation:

72/4=$18 interest each year

amount x interest rate = interest

amount x .015 = 18

amount = 18/.015

amount = 1200

5. As part of his math assignment, Santos has to estimate the height
of a lighthouse. He decides to use what he knows about 30-60-90
triangles. Santos makes the measurements shown below. About how
tall is the tower? Explain.

measurements:
60°
5ft
58 ft

Answers

Ratification oxidizing unrewarding decision over execution entomologist stuffing reducing radicalism

A honeydew melon is shaped like a sphere with a diameter of 8 inches. Which value is closest to the volume of the melon?

Answers

Answer:

The volume of sphere  = 268.08

Step-by-step explanation:

Below is the calculation for the volume of melon (sphere).

Given the diameter of the sphere is = 8 inches

Now find the radius by dividing the diameter by 2 = 8/2 = 4 inches

Now use the below formula to find the volume.

The volume of sphere  = [tex]\frac{4}{3} \times \pi \times r^{3}[/tex]

The volume of sphere  = 268.08

Solve for x. *
3(x + 4)^2=75

Answers

Answer:x=1,-9

Step-by-step explanation:

.Room 1 and Room 2 have 58 students in total. 4 students are transferred from Room 1 to Room 2. Now the two rooms have the same number of students. How many students were there in each room before the transfer?

Answers

58 divided by 2 equal 29 so 29-4=25 .so room 2 had 25 students .29+4=33 so room 1 had 33 students

Right triangle ABC is shown.
Which equation can be used to solve for c?
3
O sin(50%) =
3
3 m
A
С
O sin(50%) =
win
a
50°
С
O cos(50%) =
B
ulm mlu
O cos(50%) =

Answers

Answer:

[tex]\sin(50^o) = \frac{3}{c}[/tex]

Step-by-step explanation:

Given

See attachment for triangle

Required

Expression to solve c

To solve for c, we simply calculate the sine of angle at B

i.e.

[tex]\sin(50^o) = \frac{Opposite}{Hypotenuse}[/tex]

This gives:

[tex]\sin(50^o) = \frac{3}{c}[/tex]

Make c the subject

[tex]c = \frac{3}{\sin(50^o)}[/tex]

If U = 3 inches, V = 4 inches, W = 8 inches, X = 6 inches, Y = 8 inches, and Z = 4 inches, what is the area of the object?

Answers

Answer:

55

Step-by-step explanation:

Let me know if I'm right or wrong :)

Tell whether the sequence is arithmetic. If it is, what is the common difference? -21, -15, -9, -3,

Answers

Answer:

it is arithmetic and the difference is 6

A stock loses half its value each week. If the stock started at $125, what is it worth after 4 weeks?

Answers

Answer: 7.81

The formula is

y = 125* (1/2)^4

y = 125 / 16

y = 7.81

So at the end of the 4th week, the stock is worth only 7.81 dollars.

If that is not the motive and the first week doesn't count then the formula changes to...

y = 125 * (1/2)^(n-1)

y = 125 * (1/2)^3

y = 15.625 could be the other answer if you looked at it in that perspective

However, I would go with 7.81 as the answer.

Hope I helped :)

is there anybody play free fire​

Answers

Answer:

whats that

Step-by-step explanation:

is it a fun game

Answer:

no

Step-by-step explanation:

Select the correct answer.
Which statement is true?

Answers

The correct answer is letter C

A. 1 1/2

B.-3 3/8

C.3 3/8

D. -1 1/2

Answers

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: A. \:1 \frac{1}{2} }}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] - 2 \frac{1}{4} \div ( - 1 \frac{1}{2} )[/tex]

➼ [tex] \: \frac{ - 9}{4} \div( \frac{ - 3}{2} )[/tex]

➼ [tex] \: \frac{ - 9}{4} \times \frac{ - 2}{3} [/tex]

➼ [tex] \: \frac{ - 9 \times - 2}{4 \times 3} [/tex]

➼ [tex] \: \frac{18}{12} [/tex]

➼ [tex] \: \frac{3}{2} [/tex]

➼ [tex] \: 1 \frac{1}{2} [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

HELP ASAP please!!!

What is the area of this polygon?

___ units2

If you can please explain with you answer!! Thank you so much!


Answers

Answer:

39 units

Step-by-step explanation:

area of polygon = area of rectangle VERD + area of triangle MVR

[length of rectangle (6) * width of rectangle (5)] + [1/2 * 3 (height of triangle) * 6 (height of triangle)] = area of polygon

(6*5) + (1/2*3*6) = area of polygon

30 + 9 = area of polygon

area of polygon = 39

I’m pretty sure that the answer is 39 hopefully this helped

use graph to answer question

Answers

Answer:

cos(θ) = 3/5

Step-by-step explanation:

We can think of this situation as a triangle rectangle (you can see it in the image below).

Here, we have a triangle rectangle with an angle θ, such that the adjacent cathetus to θ is 3 units long, and the cathetus opposite to θ is 4 units long.

Here we want to find cos(θ).

You should remember:

cos(θ) = (adjacent cathetus)/(hypotenuse)

We already know that the adjacent cathetus is equal to 3.

And for the hypotenuse, we can use the Pythagorean's theorem, which says that the sum of the squares of the cathetus is equal to the square of the hypotenuse, this is:

3^2 + 4^2 = H^2

We can solve this for H, to get:

H = √( 3^2 + 4^2) = √(9 + 16) = √25 = 5

The hypotenuse is 5 units long.

Then we have:

cos(θ) = (adjacent cathetus)/(hypotenuse)

cos(θ) = 3/5

What force impacts all machines and reduces its energy?

Answers

I think it’s frictional force sorry if it’s wron g

Answer:

Step-by-step explanation:

FRICTION impacts all machines and reduces energy.

Assuming exponential function has a starting value of 360 and a decay rate of 73% write an equation to model the situation

Answers

Answer:

a = 360 * 0.27^n

Step-by-step explanation:

a = 360 * (1  - .073)^n

a = 360 * 0.27^n

4. The table shows a proportional relationship between x and y. For each value of sondy
Y
match it to the correct unit rote
in it's simplest form.
**3 and y27
** and y. 81
* 21 and y 128
x 14 and 84
* 12 and y = 36
* 15 and y 45

Answers

Answer:

21 and y128

Step-by-step explanation:

Answer:

i don't know the answer but i do have this book just look up answer key and the name of the book for any more answer X D

Step-by-step explanation:

big brain :)

(m2-m-4)+(m-5) (1 point)

Answers

Answer:

2−9  

Step-by-step explanation:

You take redundant away, then do subtract, then combine terms. It will give solution.

In a crash safety test, engineers accelerate teo cars toward each other so that the fistance in meters between them is modeled by
[tex]d(t) = 25 - {t}^{2} [/tex]
, where t is time in seconds. What is the domain on which the model is applicable?

A.
[tex]0 \leqslant t \leqslant 25[/tex]
B.
[tex]0 < t < 5[/tex]
C.
[tex]0 < t < 25[/tex]
D.
[tex]0 \leqslant t \leqslant 5[/tex]


Answers

Ankaksjsjsjsjsjsjsnsjss

Which table represents a linear function?

Answers

Answer:

table C represents a linear function.

Answer: Its the first one

Step-by-step explanation:

Took the test review and got it correct.

Hope this helps peeps!

someone please help me

Answers

Answer:

it is the 3rd option, 6 + 3b < 15

Step-by-step explanation:

at most she's spending $15 and she has to multiply the box of $3 crackers by how many she's buying

The third option: 6+3b=15
This is because at most she has 15 so the sign above means less than or equal to meaning she has to spend less than 15 or exactly 15 and the unit rate is $3 per box

What is m∠H? (Must give Explanation)

Answers

Answer:

95°

Step-by-step explanation:

(x+49)+(x+59)=180

2x+108=180

2x=72

x=36

36+59=95

Hello, can someone solve my addmaths question here? Btw, this is from the Differentiation topic (・ัω・ั)

The displacement of a squirrel running on a straight cable for t seconds is given by s(t)=t²-3t, where t≥0. By using first principles, find the velocity of the squirrel when t=5.

Answers

I would use photo math or cymath

3x^2-12x-21=0 solve by completing the square

Answers

Answer:

x = 2 ± √11 (I believe)

Step-by-step explanation:

Como simplifico la fracción 75/1746

Answers

25/582 creo que si si
Other Questions
Which numbers are divisible by 10?A)635B)950C)953 applying macroeconomic knowledge to explain the fiscal policy of countries in 2008 The inputs of two registers R0 and R1 are controlled by a 2-to-1 multiplexer. The multiplexer select line and the register load enable inputs are controlled by inputs C0 and C1. Only one of the control inputs may be equal to 1 at a time. The required transfers are: Question 4 of 25 There are 6 brooms and 4 mops in a janitor's closet. What is the ratio of the number of brooms to the number of mops? 3/5 An iron rod and a copper rod of equal length are each held by hand at one end, with the other end in the flame from a Bunsen burner. The copper rod becomes too hot to hold much sooner than the iron rod. What does this information tell you about iron and copper? Line m passes through points (8,9) and (4,4). Line n is perpendicular to m. What is theslope of line n? Will someone help me out with my English assignment, please?Rewrite each of the following sentences to illustrate parallel structure.1. We have begun to exercise more, to get regular check-ups, and dieting.2. To go on picnics, taking part in sports, and vacationing with my family are my favorite summer activities.3. The concert made many new friends for us, attracted a great deal of publicity, and that it earned a lot of money.4. Our coach excels in setting possible goals for us and then to praise us for reaching them.5. This rodeo performer has won awards in seven states for bull riding, calf roping, and he does barrel racing.6. The walnut shelf by the window is for trophies, portraits, and where I like to display dishes.7. The two things I liked most about the class were that it had a great teacher and discussing philosophy.8. My Aunt Pauline has a reputation for her oyster dressing, cole slaw, and baking blueberry muffins.9. John makes a great pot of coffee, he tells a good story, and listening to anyone's problems with a sympathetic ear.10. Each boy had a different problem: Fred, shin splints; Ralph, torn ligaments; Jack, a shoulder separation; Tom, sneezed and coughed.11. Application Activity Need help what would it be A state law provided that only citizens of the United States may be hired by any governmental unit within the state. A citizen of the Philippines, who had been a legal resident of the state for five years, was awarded a medical degree from the state university and was licensed by the state to practice medicine. The doctor applied for a job opening in the state government, but despite the fact that she was fully qualified, she was rejected solely because of the statute. If she files suit in federal court to enjoin enforcement of the statute, what is her best constitutional argument Match each sentence part to the question it answers (field day hideaway) a block is pulled 0.90m to the right in 2.4s what is the blocks average speed to the nearest hundredths of m/s What is the counterstain in the Schaeffer-Fulton endospore stain procedure? A = {5, 6, 7, 8, 9, 10} and B = {2, 3, 4, 5, 11, 12, 13}. What is AB? What is AB? Mon papa s'appelle Jules.A. C'est une filleB. C'est un garonC. C'est un homme. D. C'est une femme. A cone has a height of 16 feet and a radius of 6 feet. What is its volume? Use 3.14 and round your answer to the nearest hundredth. What did the Share-the-Wealth program call for? Check all of the boxes that apply.free education and trainingpensions for the elderlyveterans benefits and health carestipends for poor familiesa shorter work week and more vacation timelower taxes Part C What is the name of the chemical that is branched? Which represents g(x), the translated function?O g(x) = (x + 4)3 + 6O g(x) = (x 4)3 + 6O g(x) = (x + 6)3 4O g(x) = (x - 6)2 - 4 about How to learn English listening skill fluently.(paragraph) ASLWhat image below is invoked in the sign for firefighter hose helmet smoke flames