A plane rises from a takeoff and flies at an angle of 10 deg

A plane rises from a take-off and flies at an angle of 10 degrees with the horizontal runway. When is has gained 500 feet, find the distance the plane has flown.(Round to nearest foot).

Solution

Here angle of elevation, theta=10degre

Opposite, height = 500ft

Distance the plane has flown, x

sin 10=500/x

x=500/sin 10= 2879ft