1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ch4aika [34]
3 years ago
5

Hans is sitting in a movie theater, 19 meters from the screen. The angle of elevation from his line of sight to the top of the s

creen is 15°, and the angle of depression from his line of sight to the bottom of the screen is 22°. Find the height of the entire screen. Do not round any intermediate computations. Round your answer to the nearest tenth.
Mathematics
1 answer:
IgorC [24]3 years ago
3 0

Answer:

12.8 m

Step-by-step explanation:

From the diagram :

Height PR = 19m

Using Pythagoras :

From triangle PQR:

QR = x

Tan θ = opposite / Adjacent

Tan 22° = x / 19

x = tan 22° * 19

x = 0.4040262 * 19

x = 7.6764982 m

From triangle PRS:

SR = y

Tan θ = opposite / Adjacent

Tan 15° = y / 19

y = tan 15° * 19

y = 0.2679491 * 19

y = 5.0910346

Height of entire screen :

(7.6764982 + 5.0910346) m

= 12.7675328 m

= 12.8 m

You might be interested in
Solving x + 3y = 5 and -x - y = -3 by eliminationg.
Marina CMI [18]

Answer:

  (x, y) = (2, 1)

Step-by-step explanation:

The x-coefficients are opposites of each other, so the x variable will be eliminated if the two equations are added.

  (x +3y) +(-x -y) = (5) +(-3)

  2y = 2

  y = 1

Substituting into the first equation gives ...

  x +3(1) = 5

  x = 2 . . . . . . . subtract 3

The solution is (x, y) = (2, 1).

4 0
3 years ago
1. Savannah recorded the average rainfall amount, in inches, for two cities over the course of 9 months.
NeX [460]

Answer:

n

Step-by-step explanation:

4 0
3 years ago
Find the length of YX
koban [17]

Answer:

YX = 22

Step-by-step explanation:

Similar triangles. So,

\frac{VW}{XW}=\frac{VZ}{YX}\\\\\frac{45}{30}=\frac{3x-9}{x+8}\\

Cross multiplication

45*(x+8) = 30 * (3x - 9)

45x + 360 = 90x - 270

360 = 90x - 270 - 45x

360 = 45x - 270

360 + 270 = 45x

45x = 630

x = 630/45

x = 14

YX = x +8 = 14 + 8 = 22

8 0
3 years ago
Help, please. This is related to mirror and shadow problems
nadya68 [22]

Answer:

1. x/2=1.75/3.5  x=1

2. 4/2=y/3.5 y=3.5

3. P (Figure Left)=3+5+2+1+4+8+3+2=28 cm

A (Figure Left)=8x2-2x1-3x2=8 cm2

4. P (Figure Left) / P (Figure Right) = 1/1.75 = 28/ P (Figure Right)

P (Figure Right)= 49 cm

A (Figure Left) / A (Figure Right) = 1/1.752 = 8/ A (Figure Right)

A(Figure Right)= 24.5 cm2

Step-by-step explanation:

1. x/2=1.75/3.5  x=1

2. 4/2=y/3.5 y=3.5

3. P (Figure Left)=3+5+2+1+4+8+3+2=28 cm

A (Figure Left)=8x2-2x1-3x2=8 cm2

4. P (Figure Left) / P (Figure Right) = 1/1.75 = 28/ P (Figure Right)

P (Figure Right)= 49 cm

A (Figure Left) / A (Figure Right) = 1/1.752 = 8/ A (Figure Right)

A(Figure Right)= 24.5 cm2

5 0
2 years ago
How do I solve this
In-s [12.5K]
You use lots and lots of math.

5 0
3 years ago
Other questions:
  • 3/4 of 36 what Is the answer too that
    12·1 answer
  • Can someone help me with geometry! PLEASE!
    13·1 answer
  • Player 1 and player 2 are running laps around a field. Player 1 runs 1 lap every 6 minutes, while player 2 runs 1 lap every 10 m
    14·1 answer
  • Enter each data set into the statistics calculator. Make note of the mean, median, and shape of the histogram of each data set.
    9·2 answers
  • . Первый мастер может выполнить задание,
    6·1 answer
  • Whats 307 495 rounded to the nearest thousand
    13·2 answers
  • Leila went to see a baseball game. The game started at 11:39AM and ended at 3:15 PM. How long was the game?
    8·2 answers
  • What is the end behavior of f(x)=(x−3)3−4x3(x+2)3+3(x−1)6
    15·1 answer
  • Find the value of x.<br> 30 <br> 17
    9·1 answer
  • Find the length of CD
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!