A rocket fired straight up is tracked by an observer from the ground a mile away. (a) show that when the angle of elevation is theta, the height of the rocket in feet is h = 5280 tan theta.

Relax

Respuesta :

Let the height of the rocket be x, then
tan theta = h / 1 mile
h = 1 tan theta miles

But 1 mile = 5280 feets

Therefore, the height in feet = 5280 tan theta.