Question 59747
The lamp post makes an angle of 90 degrees with the floor.
So the length of the shadow is supposed to be the base of the right triangle and the height of the triangle is represented by the lamp post.
The angle of inclination 60 degrees is the angle made by the hypotenuse of the triangle with the base.

The side opposite the 30 degrees is the base = 8 feet

So hypotenuse = twice the base = 2*8 = 16 feet.

The height of the triangle = sqrt(16^2 - 8^2)  [Pythagorean theorem]
                           = sqrt (256 - 64)
                           = sqrt(192)
                           = 13.86 feet (approximately)

The height of the lamp post = 13.86 feet