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
serious [3.7K]
3 years ago
13

A person on a runway sees a plane approaching. The angle of elevation from the runway to the plane is 11.1° . The altitude of th

e plane is 4000 fr. What is the horizontal distance from the plane to the person on the runway.

Mathematics
1 answer:
Gnoma [55]3 years ago
8 0

Answer:

The horizontal distance from the plane to the person on the runway is 20408.16 ft.

Step-by-step explanation:

Consider the figure below,

Where AB represent altitude of the plane is 4000 ft above the ground , C represents the runner.  The angle of elevation from the runway to the plane is 11.1°

BC is the horizontal distance from the plane to the person on the runway.

We have to find distance BC,

Using trigonometric ratio,

\tan\theta=\frac{Perpendicular}{base}

Here, \theta=11.1^{\circ} ,Perpendicular AB = 4000

\tan\theta=\frac{AB}{BC}

\tan 11.1^{\circ} =\frac{4000}{BC}

Solving for BC, we get,

BC=\frac{4000}{\tan 11.1^{\circ} }

BC=\frac{4000}{0.196} (approx)

BC=20408.16(approx)  

Thus, the horizontal distance from the plane to the person on the runway is 20408.16 ft

You might be interested in
Help me now ASAP<br> For what value of n are (1/9)^3 and 9^n equal?
RideAnS [48]

Step-by-step explanation:

( \frac{1}{ {9}^{3} } ) =  {9}^{n}

{9}^{ - 3}  =  {9}^{n}

n =  - 3

HOPE  \: IT  \: HELPS \:  YOU

3 0
3 years ago
A board that measures 3/4 feet long is cut into 6 equal pieces. What is the length of each piece?
gayaneshka [121]
I would convert from feet to inches and say an 9 in long board is cut.
Now just divide 9 by 6
9/6=1.5 inches

7 0
3 years ago
Read 2 more answers
Solve for x: 12-2x=-2(y-x)
a_sh-v [17]
12 - 2x = -2(y - x)

12 - 2x = -2y - (-2x)

12 - 2x = -2y + 2x

12 - 2x - 2x = -2y + 2x - 2x

12 - 4x = -2y

12 - 12 - 4x = -2y - 12

-4x = -2y - 12

-4x/4 = -2y/4 - 12/4

-x = -0.5y - 3

-x/-1 = -0.5y/-1 - 3/-1

x = 0.5y + 3

or

x = 3 + 0.5y
3 0
3 years ago
A bed is 6 1/2 feet long.the material to make a sheet for the bed is to be 1 1/2 times as long to allow for hems and tucking und
Svetllana [295]
Answer:  9 3/4 feet long

Explanation:

1 1/2 x 6 1/2 = 3/2 x 13/2 = 39/4 = 9 3/4 feet long
4 0
3 years ago
What is 24/36 simplified?
zhuklara [117]
Did it the longer way but i hope it helps you out.... Answer: 2/3

4 0
3 years ago
Read 2 more answers
Other questions:
  • What are clouds circling the “eye” called
    6·1 answer
  • Really need help on these two math questions ??
    8·1 answer
  • Name two ordered pairs that are located exactly six units from (2, -3).
    9·2 answers
  • Two sides of a right triangle measure 7 units and 3 units. What is the area of the square that shares a side with the third side
    14·1 answer
  • Please help...................
    13·2 answers
  • What is the answer to -7x + x?
    13·2 answers
  • Consider the following pair of equations:
    11·2 answers
  • Does the graph below represent a function
    12·2 answers
  • In angle PQR, angleQ=70 angle R=45 then angleP=.....<br>​
    8·1 answer
  • Math Skills<br> Integer Practice 1<br> Find each sum.<br> 1) (-6)+6
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!