Question

As an unknown drone is detected by a radar dish hovering over a secure location in Washington dc the initial reading of the radar dish was detects the drone .The reading of the radar dish indicates an angle of elevation of 60 to the drone

Answer 1

60° ; 30°

27.71 km

Explanation:

Since we have a right angled triangle, and also the sum of the angles in a triangle is 180°

Angle of elevation is given as 60°

Hence, we have :

90°+60°+x ° = 180°

x = 180 - 150

x = 30°

The two acute angles are 60° and 30°

The altitude, h of the drone can be obtained thus :

Using trigonometry :

Sin θ = opposite / hypotenus

Sin 60 = h / 32

h = 32 * sin 60

h = 27.71 km