Question

A Blimp is 400 feet in the air. There is an angle of depression of 40 degrees to a football stadium. How far is the Blimp from the stadium?​

Answer 1

Explanation:

The diagram of the stadium and the blimp is shown in the attached photo. A right angle triangle, ABC is formed. Angle A is alternate to the angle of depression. This mean that they are equal. So angle A =40 degrees.

The distance of the the Blimp from the stadium is x feet which is the hypotenuse of the triangle.

Applying trigonometric ratio,

Sin 40 = 400/x

xsin40 = 400

x = 400/sin40 = 400 / 0.6428

x = 622.3 feet