Question

A rocket is launched and the observer measuring the rocket altitude is standing at a distance of 200 feet from the launcher. When the rocket reaches apogee, the observer measures an angle of 45° using an altitude scope. Calculate the altitude of the rocket to the nearest foot.

Answer 1

100 foot

Step-by-step explanation:

Using the formula for calculating range to calculate the speed first as shown;

Range R = U²sin 2theta/g

U is the speed

theta is the observe angle

g is the acceleration due to gravity.

200 = U²sin 2(45)/9.8

Usin90 = 200 * 9.8

U² = 1960

U = √1960

U = 44.27 m/s

Get the required altitude

Altitude H = u²/2g

H = 44.27²/2(9.8)

H = 1,959.8329/19.6

H = 99.99 feet

Hence the altitude of the rocket to the nearest foot is 100 foot