Question

A helicopter is 665 feet above the ground. A girl is looking up at the helicopter to form a line. Her line of sight is 5 feet off the ground. The distance between the girl and the helicopter is 280 feet. A helicopter flies 665 feet above ground. What is the measure of the angle of depression from the helicopter to the girl’s line of sight? Round to the nearest degree. 23° 25° 65° 67°.

Answer 1

The measure of the angle of depression is 67 degrees.

Given that

A helicopter is 665 feet above the ground.

A girl is looking up at the helicopter to form a line.

Her line of sight is 5 feet off the ground.

The distance between the girl and the helicopter is 280 feet.

We have to determine

What is the measure of the angle of depression from the helicopter to the girl’s line of sight?

According to the question

A helicopter is 665 feet above the ground.

Her line of sight is 5 feet off the ground.

The distance between the girl and the helicopter is 280 feet.

The angle of depression is the angle between a horizontal line from the observer and the line of sight to an object that is below the horizontal line.

The angle of depression is determined by the following formula;

$\rm Tan\theta = \dfrac{Opposite \ side}{Adjacent \ side}$

The measure of the opposite side is = 665-5 = 660 feet

The measure of the adjacent side is = 280 feet

Substitute all the values in the following formula;

$\rm Tan\theta = \dfrac{Opposite \ side}{Adjacent \ side}\\ \\ \rm Tan\theta = \dfrac{660}{280}\\ \\ \rm Tan\theta = 2.35\\ \\ \theta = tan{-1}(2.35)\\ \\ \theta = 67 \ degrees$

Hence, the measure of the angle of depression is 67 degrees.

To know more about Angle of Depression click the link given below.

https://brainly.com/question/795566

Answer 2

Answer:

sorry for the late answer but here is the correct answer according to edge 2022 hope my answer helps :)

Step-by-step explanation:

⇒67°

O also shown as in the picture