94.3k views
2 votes
A helicopter flies 665 feet above ground. What is the measure of the angle of depression fro t the helicopter to the girls line of sight

1 Answer

1 vote

Answer:

67°

Explanation:

CHECK THE ATTACHMENT FOR THE FIQURE

From, trigonometry

tan(θ) = opposite/ adjacent

✓The helicopter is 665 feet from ground.

✓Distance of the helicopter and the line of sight of the girl will be the OPPOSITE SIDE, which is

(665ft - 5 ft)

= 600 ft

✓ from the figure, we can see the distance on the Horizontal side which is the ADJACENT SIDE as ( 280 ft)

✓angle of depression can be calculated as

tan(θ) = opposite/ adjacent

tan(θ)= (660/280)

tan(θ)= 2.357

tan-1=(2.357)

θ= 67°

Hence, angle of depression is 67°

A helicopter flies 665 feet above ground. What is the measure of the angle of depression-example-1
User Rajitha Fernando
by
4.4k points