Question

A plane is flying at an altitude of 32,000 feet. The distance between the plane and a radio tower on the ground is 50,000 feet. What is the angle of depression between the plane and radio tower (round to 1 decimal place)?

Answer 1

i put C

Explanation:

Answer 2

The angle of depression between the plane and radio tower is
`40^(\circ)`

Explanation:

From the diagram attached below,

AB = Height at which the plane is flying.

AC = Distance between the plane and a radio tower.

We have to calculate the angel of depression or θ.

The triangle ABC is a right angle triangle. So,

`\Rightarrow \sin \theta=(p)/(h)`

`\Rightarrow \sin \theta=(AB)/(AC)`

`\Rightarrow \sin \theta=(32000)/(50000)=0.64`

`\Rightarrow \theta=\sin^(-1)0.64=39.7\approx 40^(\circ)`