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
enot [183]
3 years ago
10

To measure the height of the cloud cover at an airport, a worker shines a spotlight upward at an angle 75° from the horizontal.

an observer at a distance d = 560 m away measures the angle of elevation to the spot of light to be 45°. find the height h of the cloud cover,

Mathematics
1 answer:
Alona [7]3 years ago
8 0

Answer:

The height of the cloud cover is 441.66 meters

Step-by-step explanation:

Distance = 560 m

The height of the cloud cover = h meters

According to the diagram, the worker stands at point R,

Let RT = x

tan 45⁰ = \frac{opposite}{adjacent} = \frac{h}{x}

therefore, 1 =  \frac{h}{x}, h = x

Then tan 75⁰ = \frac{h}{560-x}, substituting x = h, we have

3.732 = \frac{h}{560-h}

3.732(560 - h) =  h

3.732 × 560 = 3.732h + h

2089.92 = 4.732h

h = 441.66 m

You might be interested in
What is an important consideration when using pictographs to represent data
olchik [2.2K]

Answer:they are the same width, they are accurate, it related to the topic of the graph, and contains the same volume.

Step-by-step explanation:What is the most important consideration when using pictographs to represent data? (1 point) The bars on the pictograph are the same width. The proportions of the pictographs are accurate, The image in the pictograph is related to the topic of the graph. Each pictograph contains the same volume.

6 0
2 years ago
Read 2 more answers
Two lines intersect in _____. one plane many planes one point many points
Effectus [21]
Two lines intersect in one point.
5 0
3 years ago
Read 2 more answers
A farmer sells 6.7 kilograms of apples and pears at the farmer's market. 1 4 of this weight is apples, and the rest is pears. Ho
Damm [24]

Answer:

1.9 Kilograms.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A bunch of 6 bananas costs $3.54. What is the unit rate?
mr_godi [17]
Divide 6 by 3.54
The quotient would be 1.69
Your answer is that the unit rate is $1.69 per banana
7 0
3 years ago
The sum of 5x and 2x is at least 14
tatuchka [14]

5x+2x>= 14

7x>= 14

divide by 7

x>=2

6 0
3 years ago
Read 2 more answers
Other questions:
  • The main cables of a suspension bridge are ideally parabolic. the cables over a bridge that is 400 feet logn are attached to tow
    5·1 answer
  • Round this number to nearest 10,000. 4,278,003
    5·2 answers
  • The photoreceptors called __ respond best to dim light, and those called __ enable color vision
    14·1 answer
  • If r(x) = 2 – x2 and w(x) = x – 2, what is the range of (w*r)(x)
    12·2 answers
  • is the volume of a cylinder which has the same radius but twice the height greater or less than the original cylinder
    15·1 answer
  • In the diagram below, c is the midpoint of ab. If ac is 6 centimeters, what is the length of cb?
    9·2 answers
  • Write −0.258 as a fraction in simplest form. <br> Please Help!
    12·2 answers
  • Peyton is building a model tower using plastic bricks. The height of the tower is proportional to how many layers of bricks he u
    5·1 answer
  • Use distributive property to remove parantheses<br> 9(2/3-3x)
    12·1 answer
  • What is the value of x (distance from the edge of the screen to the end of the wall) if the area of the screen is 40 m^2?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!