Question

The angle of elevation of the top of a flagpole is 64 degrees from a point 32m away from the foot of the flagpole.Find the angle of elevation of a flag halfway up the flagpole from the point correct to the nearest degree.

Answer 1

the height h can be found using
h/32 = tan 64°
so, tanθ = (h/2)/32 = h/64 = 1/2 tan64°
θ = 45.7°

Answer 2

h/32=tan 64
1/2tan64
45.7