. A pilot is flying over a straight highway. He determines the angles of depression to two mileposts to be 32° and 56°, as shown in the figure. The pilot is flying at an altitude of 25,000 ft. Find the distance between point A and point B. Round your answer to the nearest thousandth. [32 56° A B​

Answer:

Step-by-step explanation:

tan(90-32)=25000/B and tan(90-56)=25000/A

B=25000/(tan(58)) and A=25000/(tan(34))

B-A=25000/(tan58-tan34)=27003ft

The distance between point A and point B is 23195 ft.

For an object below the level, the angle created by the line of sight and the horizontal plane is called the Angle of Depression.

It is given that

A pilot is flying over a straight highway.

the angles of depression to two mileposts to be 32° and 56°, as shown in the figure

The pilot is flying at an altitude of 25,000 ft.

Tan [tex]\rm \theta[/tex] = Height / (Distance of the point and the plane horizontally )

Tan 32 = 25 /x

x = 25000 / tan 32

x = 40064 ft

tan 56 = 25/x

x = 25000/tan 56

x = 16869 ft

the distance between point A and point B is 23195 ft.

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