Mathematics High School

Emery looks out their apartment window to the building across the way. The building isknown to be 42 feet tall. The angle of depression from Emery's window to the bottom of the buildingis 27◦, and the angle of elevation to the top of the building is 23◦. Find Emery's distance x from thebuilding across the way.

Answers

Answer 1

Answer:

[tex]x=44.5ft[/tex]

Step-by-step explanation:

From the question we are told that:

Height [tex]h=42ft[/tex]

Angle of depression [tex]\theta=27\textdegree[/tex]

Angle of Elevation [tex]\alpha=23 \textdegree[/tex]

Generally the equation for the vertical distance between Emery's distance x and the bottom of the building is mathematically given by

Since the angle of depression and elevation are given as

27 and 23 respectively

Therefore

Emery's view of the 42 ft building is

[tex]\gamma=23+27[/tex]

[tex]\gamma=50 \textdegree[/tex]

Therefore Emery's distance x to the base of the building h' is

[tex]h'=\frac{27}{50}*42[/tex]

[tex]h'=22.68ft[/tex]

Generally the Trigonometric equation for Emery's distance x is mathematically given by

[tex]x=\frac{h'}{tan\theta}[/tex]

[tex]x=\frac{22.68}{tan 27}[/tex]

[tex]x=44.5ft[/tex]

Related Questions

Harper is getting a new rug in her bedroom. Her bedroom is in the shape of a rectangle with a length of 9 feet and a width of 14 feet. If the rug cost $1.75 per square foot, how much will it cost to purchase the rug?

Answers

Answer:

D) 220.50

Step-by-step explanation:

9x14 = (9x9)+(9x5) =126 126 x 1.75 (.75x126) + 126 = 220.50

AKA: 9x14 = 126 126 x 1.75 = 220.50

OLEASE HELP WILL MARK THE BRAINLIEST

Answers

$40.39
Im pretty sure this is correct

Find the missing side length,
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer
5 cm
8 cm
11 cm
16 cm 4cm

Answers

The missing side length will be equal to 12 cm.

What is Addition?

Addition can be defined as the process of adding two numbers such that the result is the combined value of the two numbers.

The length of the missing side will be the sum of the two lengths as shown below. Therefore, the missing side length will be equal to 12 cm.

Learn more about Addition:

https://brainly.com/question/13167637

#SPJ1

What is 3/4 as a percentage?

Answers

Answer:

75%

Hope this helps!!!

Step-by-step explanation:

Answer:

0.75

Step-by-step explanation:

Imagine four quarters, 1 quarter equals 25 cents. So adding 2 more quarters, 3 total, would equal 75 cents. 25 + 25 + 25 = 75. Your answer is 0.75! Hope this helps!

Edit: MY BAD!! I THOUGHT YOU SAID DECIMAL, IGNORE ME!!!

find the area of a semi circle with radius 12cm give your answer in terms of pi

Answers

Answer:

72pi

Step-by-step explanation:

The formula for the area of a circle is pi*r^2

Since three radius is 12, then it’s pi*12^2

pi*12^2= 144 x pi but that’s the area of a whole circle so divide by 2 and you get:

72pi

Answer:

226.195 cm²

In terms of pi:

A = (π · 12²) ÷ 2

Step-by-step explanation:

A = πr²

A = π · 12²

A = π · 144

A = 452.39

452.39 ÷ 2

226.195

hey! i’ll give brainliest please help.

Answers

Answer:

Zoro

Step-by-step explanation:

the answer is Zoroastrianism

Answer:

Zoroastrian was what is was so your answer is A.

Step-by-step explanation:

1 over 4 times 3 over 6

Answers

Answer:

0.125, or 1/8

Step-by-step explanation:

[tex]\frac{1}{4}*\frac{3}{6}[/tex] You can easily convert these fractions into decimals.

1/4 = 0.25 and 3/6 = 0.50

Therefore, [tex]\frac{1}{4}*\frac{3}{6}[/tex] is the same as (.25)*(.5), this equals 0.125, or 1/8 as a fraction.

Hello there I hope you are having a good day :) Your Question, 1 over 4 times 3 over 6 the answer, hope you have a wonderful day :)

7. Gloria took out a loan for $8000. If she was given the loan with a 4.5%
interest rate compounded monthly for 5 years. How much interest did she
have to pay over the 5 years? Round to the nearest whole number?

Answers

4+6=3

4.5=3

77.35.52.=5

BEST ANSWER GETS BRAINLY (EMERGENCY)
The number of toys owned by eight classmates is shown below:

4, 3, 4, 5, 6, 6, 8, 4

Part A: What is the mean of the data? Show your work. (4 points)

Part B: Use your answer from Part A to calculate the mean absolute deviation for the data. Show your work. (6 points)

Answers

Answer:

Part A: 5

Part B: 2

Step-by-step explanation:

to find the mean all you have to do is add all the numbers together and then divide it by how many numbers there are in the data set

3+4+4+4+5+6+6+8=40

40÷8=5

so the mean is 5

next to find the mean of absolute deviations you need to subtract each number in the data set from the mean then divide it by how many numbers are in the data set (if you get a negative like 6-5=-1 just take away the negative sign to make it positive)

5-3=2

5-4=1

5-5=0

6-5=-1

8-5=-3

2+1+1+1+0+1+1+3=10

10÷5=2

so the mean absolute deviation is 2

Answer:

Part A: 5

Part B: 2

Step-by-step explanation:

to find the mean all you have to do is add all the numbers together and then divide it by how many numbers there are in the data set

3+4+4+4+5+6+6+8=40

40÷8=5

so the mean is 5

5-3=2

5-4=1

5-5=0

6-5=-1

8-5=-3

2+1+1+1+0+1+1+3=10

10÷5=2

so the mean absolute deviation is 2

Anyone know how to solve this?

Answers

Answer:

[tex] \frac{16}{25} [/tex]

Step-by-step explanation:

[tex]( - \frac{4}{5})^{2} [/tex][tex] {( - 1)}^{2} \frac{ {4}^{2} }{ {5}^{2} }[/tex][tex]1 \frac{ {4}^{2} }{ {5}^{2} } [/tex][tex] \frac{ {4}^{2} }{ {5}^{2} } [/tex][tex] \frac{16}{25} [/tex]Hope it is helpful....

Find the value of x. The answer is 7 I just need to show work :D

Answers

since it’s 7 and there’s a 14 in the picture maybe just write 7x2=14 ?

Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.

x² +3= -4x

O 1,3
O -1-3
O 1-3
O -1,3

Answers

Answer:

-1 -3

Step-by-step explanation:

What’s the area of this circle?

Answers

Answer:

530.66

Step-by-step explanation

A=r2*3.14=13*13*3,14=530.66

anyone know this !??!?!

Answers

Answer:

its a, 2 and 3 only

Step-by-step explanation:

what does this equal4x-9+2(12x-8)=31

Answers

Answer:

x = 2

Step-by-step explanation:

x = 2 im to azy to put the steps sorry

pls help, 'll mark the brainliest. SOS

Answers

Answer:

Which one do you need the answer for

Step-by-step explanation:

Last one for this :)

Answers

Answer:

2/21 :)

Step-by-step explanation:

Answer:

2/21

Step-by-step explanation:

I need help with this

Answers

Answer:

We add up all the numbers:

84 + 72 + 96 + 97 + 75 + 83 + 81 = 588

Since there are 7 numbers we divide by 7

588 divided by 7 = 84 is your mean

Step-by-step explanation:

How to find mean:

Add up the numbers, divide by the many numbers there are and thats how you find your mean.

I’ve tried so many things but I can’t find the Answer

Answers

Answer:

[tex]let \: that \: be \: \: x \\ 20\% \: of \: x \: is \: 6 \\ \frac{20}{100} \times x = 6 \\ 20x = 600 \\ x = 30[/tex]

☞EXPLANATION☜

20 percent (calculated percentage %) of what number equals 6? Answer: 30.

A spherical balloon has a -in. diameter when it is fully inflated. Half of the air is let out of the balloon. Assume that the balloon remains a sphere.
a. Find the volume of the fully-inflated balloon.
b. Find the volume of the half-inflated balloon.
c. What is the radius of the half-inflated balloon?

Answers

[tex]\frac{256}{3} Pi[/tex]

The customs duty on imported vehicles is 30% of the price paid by the importer.
(a) Calculate the customs duty on a car for which the price paid by the importer is $8,500.
(b) Calculate the price paid by the importer for a bus for which the amount is paid, including customs duty is $15,600

Answers

A) 8500 times 0.3 = 2550
B) 15600 = 0.3x
X=15600/0.3=52000

can someone help me with this??? answer all/ most of the problems if you can and if possible show work in a way similar to #2 :)

Answers

answer:
look at the explanation for the work
3) b = 3
4) k = 8
5) v = -6
6) m = 7
step-by-step explanation:
1) 10(n + 10) = 160
10n + 100 = 160
-100 -100
10n = 60
/10 /10
n = 6 so correct
2) -114 = 6(x - 10)
-114 = 6x - 60
+60 +60
-54 = 6x
/6 /6
-9 = x so correct
3) -182 = 7(1 - 9b)
-182 = 7 - 63b
-7 -7
-189 = -63b
/-63 /-63
3 = b
4) 105 = 7(k + 7)
105 = 7k + 49
-49 -49
56 = 7k
/7 /7
8 = k
5) -8(v - 8) = 112
-8v + 64 = 112
-64 -64
-8v = 48
/-8 /-8
v = -6
6) 114 = 6(5 + 2m)
114 = 30 + 12m
-30 -30
84 = 12m
7 = m

What Should i write down basically i just need the answers and let me copy and paste

Answers

Answer:

✔️Ratio of weight to mass in simplest form: 49/5 or 49 : 5

✔️x = 110

Step-by-step explanation:

Since the ratio of weight to mass is constant, therefore we can use any pair of values from the table to find the ratio that represents the table. Let's pick the first row:

(20, 196)

Ratio of weight to mass = 196 : 20

= 196/20

= 49/5

Or 49 : 5

✔️Let's use this ratio/proportion to find x in the table

Ratio of weight to mass = 49:5

Thus:

1078/x = 49/5

Cross multiply

x*49 = 1078*5

49x = 5,390

x = 5,390/49

x = 110

PLEASE HELP ME ASAP.

Answers

Answer:

Step-by-step explanation:

Could you tell me which object we are finding the area from?

A ball is kicked 4 feet above the ground with an initial vertical velocity of 51 feet per second. The function h(t)=−16t²+51t+4 represents the height h (in feet) of the ball after t seconds. Using a graph, after how many seconds is the ball 28 feet above the ground? Round your answers to the nearest tenth.

Answers

Answer:

0.6 seconds to 2.6 seconds

Step-by-step explanation:

From the graph the ball reaches 28 feet after 0.574 seconds

and doesn't fall below that until 2.614 seconds

0.574 rounded is 0.6 seconds

2.614 rounded is 2.6 seconds

Answer:

0.57 seconds (see graph)

Step-by-step explanation:

h(t) = -16t² + 51t + 4

h(t) = 28

28 = -16t² + 51t + 4

0 = -16t² + 51t - 24

t1 = 2.613573055

t2 = 0.5739269455 (pick this answer)

The ball will be 28 feet above the ground after 0.57 seconds

Is it a b c d need help

Answers

Answer:

Step-by-step explanation:

The only one going up

Help me with this please?

Answers

It would be 40% is an apple at first, the peach would be 66%.

I need this quick guys plz

Answers

Answer:

circumference = 2πr = 2 × 3.14 × 15 = 94.2cm

Option C

Answer:

The answer is C

because circumference = 2[tex]\pi[/tex]r

Someone help I need answers I’ll give brainliest and like the comment

Answers

Answer:

here u go

Step-by-step explanation:

5cm-

area: 25π

cir:10π

6cm:

area: 36π

cir: 12π

7cm:

area: 14π

cir: 49π

and the last one:

area:6π

cir:9π

mszbnxcvlhjuascv,hjaqsc,hjkas

Answers

Answer:

Step-by-step explanation:

A is a parabola

A
Not sure thoooooooooo

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