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
Firdavs [7]
3 years ago
14

An airplane pilot can see the top of a traffic control tower at a 20 degree angle of depression. the airplane is 5,000 feet away

from the tower horizontally. how far above the tower is the airplane? round to the nearest hundredth.
Mathematics
2 answers:
daser333 [38]3 years ago
8 0

The given question describes a right triangle with with one of the angles as 20 degrees and the side adjacent to the angle 20 degrees is of length 5,000 feet. We are looking for the length of the side opposite the angle 20 degrees.

Let the required length be x, then

\tan{20^o}=\cfrac{opp}{hyp}=\cfrac{x}{5,000}\\ \\ \Rightarrow x=5,000\tan{20^o}=1,819.85

Therefore, the height of the airplane above the tower is 1,819.85 feet.

natali 33 [55]3 years ago
7 0

Answer:

y \approx 1819.851\,ft

Step-by-step explanation:

The vertical distance between the airplane and the traffic control tower is obtained by means of the following trigonometric relation:

y = x \cdot \tan \theta

y = (5000\,ft)\cdot \tan 20^{\textdegree}

y \approx 1819.851\,ft

You might be interested in
MATH- Look at the picture and answer correctly so i can mark you as brainliest.
nadya68 [22]

Answer:

The answer in B please mark Brainliest.

Step-by-step explanation:

It is very easy.

5 0
2 years ago
Can the side lengths of 8, 9, and 12 form a triangle?
Rama09 [41]

Answer:

No

Step-by-step explanation:

The formula you could do to check would be 8^2+9^2=12^2.

In this instance, 8^2 + 9^2 = 145 but 12^2 equals 144

7 0
3 years ago
Read 2 more answers
Natalia is writing a recursiye formula to represent the
Nadya [2.5K]

Answer:

1.5

Step-by-step explanation:

As the common difference is not same for all terms, the given sequence is a geometric sequence

the standard formula for a geometric sequence is:

a_n=a_1r^{n-1}

The formula to calculate common ratio is:

r =   \frac{a_n}{a_{n-1}}

Dividing the term by previous term

So,

r = 12/8 = 18/12 = 27/18 = 1.5

The value for common ratio will be:

1.5 ..

4 0
3 years ago
Read 2 more answers
I really need help please
Murljashka [212]
There are zero terms
3 0
3 years ago
Lisa is framing a rectangular painting length more than twice the width. She uses 30 inches of framing material. What the length
olasank [31]

Answer:

Pretty sure its B.

Step-by-step explanation:

Because in just learned it.

4 0
2 years ago
Other questions:
  • Solve this inequality 2(4x-3)≥-3(3x)+5x?
    14·2 answers
  • the bike course is 80 miles long and I have ridden 44 miles of the course. what percentage have avridden?
    8·1 answer
  • Convert 0.19¯ to a fraction.
    6·2 answers
  • Plzz Help me!! Have to have this submitted by tonight!
    6·1 answer
  • can someone please show me where i went wrong in the following problem... use an appropriate local linear approximation to estim
    12·1 answer
  • A teacher has a bag of 100 unit cubes.She gives an equal number of cubes to each of the 7 groups in her class.She gives each gro
    11·2 answers
  • Evaluate |-a^2|, given a = 5, b = -3, and c = -2.
    9·2 answers
  • Function k is a linear function with a slope of 1/2 that passes through the point (4,2). What equation represents Function K?
    10·1 answer
  • Which expression represents "7 times the sum of 4 and y?" (1 point) 7(4 + y) 7 ⋅ 4 + y 4 + 7 ⋅ y 4(7 + y)
    8·1 answer
  • Kerry's car is valued at $11,250 if the property tax rate is 1.5% how much tax does she owe​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!