A hot air balloon is 70 m above the sea. Two buoys A and B are due East of the
balloon.
The angle of depression from the balloon to buoy A is 60°.
The angle of depression from the balloon to buoy B is 40°.
Calculate the distance AB. (Round to the nearest tenth.)

Answers

Answer 1

Answer:

Step-by-step explanation:

in the rough drawing i've included we want to find the distance of AC and BC and the subtract the shorter from the longer  or

BC- AC = AB

does this strategy seem like a good one?

use the mnemonic SOH CAH TOA to remember how sin, cos, and tan, fit on a triangle

SOH     Sin = Opp / Hyp

CAH    Cos =Adj / Hyp

TOA   Tan = Opp / Adj

where Opp = Opposite side,  Adj = Adjacent side , and Hyp = Hypotenuse

we are given an angle and the Opposite side so we can use Tan , since that has the thing we want to find, and the things we know.

when  AC is the Adj side it's

Tan(60) = 70 / Adj

Adj = 70 / Tan(60)

Adj = 40.4145

Dist. of AC = 40.4145 m

When BC is the Adj side it's

Tan(40) = 70 / Adj

Adj = 70/ Tan(40)

Adj = 83.42275

Dist. of BC = 83.42275

BC - AC = AB

83.45575 - 40.4145 =43.008

to the nearest tenth  AB = 43.0 m


Related Questions

Please help it’s algebra!!!!!!

Answers

Answer:

a). -6x³ - 12x²    b). -12     c). 12

Step-by-step explanation:

a). (g x f)(x) can also equal f(g(x))

= f (2x +4)

= -3x² (2x+4)

= -6x³ - 12x²

b). f(g(-1))

g(-1) = 2(-1) + 4

= -2 + 4

= 2

f(2) = -3x²

= -3(2)²

= -12

c). g(h(3))

h(3) = 3x-1/2

= 3(3) - 1 / 2

= 4

g(4) = 2x + 4

= 2(4) + 4

= 12

PLZ HELP!!!!!! ASAP! 70 POINTS!

Factor ax^2−ay−bx^2+cy+by−cx^2

Answers

Answer:

(a-b-c)(X^2-Y)

Step-by-step explanation:

DONE!!

hey i think this expression is not factorable with rational numbers

This month, 25 dogs were brought in to the animal shelter. Leo predicts that next month will have 40% more dogs brought in than this month.
How many more dogs does Leo think will be brought in?
dogs
How many total dogs would that make?
dogs total

Answers

Answer:

35 dogs

Step-by-step explanation:

40% more than 25 is 35

What are the solutions of x2 - 4x+5 = 0?
O A. x= 2+i or x = 2-i
B. X= 2+1 or x = 2- ;
C. x = 3 + i or x = 3 - i
D. x = 14 or x=1

Answers

Answer:

x=2+i, 2-i

Step-by-step explanation:

Use symbolab, it's literally so easy.

The rectangle shown has a perimeter of 98 cm and the given area. Its length is 7 more than 5 times its width. Write and solve a system of equations to find the dimensions of the rectangle.

Answers

Answer:

35 is its width and 63 is its length.

Step-by-step explanation:

7 x 5 = 35 and 98 - 35 equals 63 which is the length.

Can y’all recount a story where you were proud of yourself for making a good decision when it was really difficult? Thanks!

Answers

Answer:

i was proud of myself when I finally figured out a difficult math problem. I didn't even ask for help. it was a hard time for me but I eventually came through.

A local charity receives 1/3 of funds raised during a craft fair and a bake sale. The craft fair raised $252.60. The total amount given to charity was $137.45. How much did the bake sale raise?

Answers

Answer:

$159.75

Step-by-step explanation:

137.45/252.60 + x = 1/3

252.60 + x = 412.35

x = 412.35 - 252.60

x = 159.75

Answer:

297.2

Step-by-step explanation:

549.8 ÷ 4 = 137.45

549.8 - 252.60 = 297.2

Please help!!
Find the value of x to the nearest tenth.

Answers

Answer:is it 1

Step-by-step explanation:

Are the lines parallel, perpendicular, or neither show work cause I need to understand this

Answers

Answer:

Niether

Step-by-step explanation:

the slopes arent opposite so they arent perpendicular, they arent the same so they arent parallel. they are niether due to thier slopes, but if they had the same slope, the y intercept would have to be different for them to be parrallel or else they would be the same line

A jewelry box is shaped like a cube. One side of the box is 6.5 inches long. What is the volume of the jewelry box?

Answer options:

-274 in3
-274.5 in3
-274.375 in3
-274.625 in3

Answers

Answer:

274.625 in^3

Step-by-step explanation:

equation for volume LxWxH

6.5x 6.5x 6.5= 274.625


Need HELP plzzzzzzzzz

Answers

Answer:

answer = 130 degree.

Step-by-step explanation:

I hope is correct.

Answer:

choice 2) angle DOC = 145 degrees

Step-by-step explanation:

angle ABD = 1/2(30 degree arc) = 15 degrees because of the inscribed angle theorem.

angle AOB = 180 - 20 - 15 = 145 degrees

angle DOC  = angle AOB because it is a vertical angle to 145 degrees.

y/3 + 2 = 14 I need help ​

Answers

Answer:

y = 36

Step-by-step explanation:

[tex]\frac{y}{3}+2 = 14\\\\\frac{y}{3}=14-2\\\\\frac{y}{3}=12\\\\y = 12*3\\\\y = 36[/tex]

I need the answers please don't let me down ​

Answers

Answer:

5 years

Step-by-step explanation:

Hope I helped!

Evaluate a+4a+4a, plus, 4 when a=7a=7a, equals, 7.

Answers

Answer:

11

Step-by-step explanation:

a + 4 when a = 7

First, plug in 7 for a.

7 + 4

Add.

11

This is your answer.

Hope this helps!

What is the slope of this line?

Answers

Answer:

A

Step-by-step explanation:

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11:59
Question 1
2 pts
In isosceles triangle JKL, JK KL. If the measure of
angle J is 47°, find the measure of angle K.
*Note: Do NOT include the degree in your answer.

Answers

Answer:

86

Step-by-step explanation:

Since ∆JKL is an isosceles triangle, it's base angles (<L and <J) would be equal to each other.

<L is opposite to side JK, <J is opposite to side KL.

m<J is given as 47°. Therefore,

m<L = m<J = 47°

m<L = 47°

m<J + m<L + m<K = 180° (sum of triangle)

47° + 47° + m<K = 180° (substitution)

94° + m<K = 180°

m<K = 180° - 94°

m<K = 86°

Help plssssss!!!!!!!!!!

Answers

Answer:

-4

Step-by-step explanation:

The temperature, y, of a pot of water is 45 °F. The temperature increases by 30 °F per minute, x, when being heated.

Answers

Answer:

y = 30x + 45

Step-by-step explanation:

The teapot starts of at 45 °F, and every minute, the temperature increases by 30 °F

A number increased by 6 is 13. What is the number?*

Answers

Answer:

7

Step-by-step explanation:

Simply subtract 6 from 13.

13-6=7

Hope this helps! :)

Write ways to represent the fraction 10/9.

Answers

Answer:

mixed number form 1 1/9

decimal form 1.11111111111111 it goes on forever

percent form 111.111111111111% it goes on forever (again)

Step-by-step explanation:

i hope that helps!

Answer:

1  1/9

Step-by-step explanation:

10/9, you get 1 as the whole number.

You have a 1 left over when dividing 10 and 9. the 1 will be over 9.

Giving you 1 as the whole number and 1/9 next to it.

7. At the Battle of
outnumbered buffalo hunters defended
themselves for 5 days.
O A. Alpine Hills
B. Austin Falls
O C. Amarillo Flats
D. Adobe Walls

Answers

I think the answer is D good luck hope you get it right.Adobe walls

question 9: find the radius of the cylinder with a volume of 45m cubed and a height of 9m round your anwser to the nearest tenth.​

Answers

Answer:

1.26 but rounded to the nearest 10 would be 1.3 so 1.3 is your answer

Step-by-step explanation:

Pls help LOTS OF POINTS I am really confused and this is pretty easy so plaplslplsplspsl help

Answers

Answer: #4 is b

Step-by-step explanation:

people in here again and again. I think this is the last question

Answers

Answer:

2.4 cm

Step-by-step explanation:

We know the length of segment AB and the length of segment BC. To find their midpoints, we can divide their length by 2.

Let's find the midpoint of AB.

Segment AB: 10 cm Midpoint of AB: 10/2 = 5 cm

Next let's find the midpoint of BC.

Segment BC: 5.2 cmMidpoint of BC: 5.2/2 = 2.6 cm

In order to find the difference between these midpoints, we can subtract the midpoint of AB by the midpoint of BC.

5 cm - 2.6 cm = 2.4 cm

Therefore, the difference between the midpoints of AB and BC is 2.4 cm.

Pl S help pls np helps helpss

Answers

Answer:

2 dollars each I think........

What is the slope of the line passing through
(4,56) and (5,70)

Answers

Answer:

14

Step-by-step explanation:

Use rise over run, (y2 - y1) / (x2 - x1)

Plug in the points and simplify:

(y2 - y1) / (x2 - x1)

(70 - 56) / (5 - 4)

14 / 1

= 14

So, the slope of the line is 14.

Answer:

m=14

Hope it helped if it did mark as brainliest!

x + y + 2x + 2y + 4x + 5z

Answers

Answer:

5x

Step-by-step explanation: x + y + 2x + 2y + 4x + 5z

x + 4x + 2x + y + 2y + 5z

7x + 3y + 5z

please help
find the value of x in the isosceles triangle shown below.
V80
V80


Answers

Answer:

Option A. x = 8

Step-by-step explanation:

Please see attached photo.

From the attached photo,

we shall determine the value of y. This can be obtained by using pythagoras theory as illustrated below:

(√80)² = 8² + y²

80 = 64 + y²

Collect like terms

80 – 64 = y²

16 = y²

Take the square root of both side

y = √16

y = 4

Finally, we shall determine the value of x. This can be obtained as follow:

From the attached photo,

x = 2y

but:

y = 4

Therefore,

x = 2y

x = 2 × 4

x = 8

Hello can someone please help me with this

Answers

D: an outlier exists on the far right

What is the equation of a line .........

Answers

Answer:

y = -x + 2, B is the answer

Step-by-step explanation:

If slope is -1, the equation is y = -x+b

Plug in (3,-1) into that equation.

-1 = -3 + b

b = 2

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