Question

if the shadow of a tower 30 M long will the sun elevation 30 degrees then the length of the shadows in the sun elevation 60 degrees is

Answer 1

Let h be the height of the tower.

Now, h = 30 tan 30 (by using trigonometric relation tan x = perpendicular/base)

For 60 degree, let the shadow be y meters.
h = ytan 60
Replacing h from above equation, 30 tan30 = y tan 60

Therefore, y = 10 meters