Question

If the ratio between the length of the shadow of a tower and it's height is root3:1, then what is the angle of elevation of sun ?

Answer 1

taking length of tower as the perpendicular and the length of shadow as the base we get : 
tan theta = p/b 
now b/p = root3/1 
p/b = 1/root3 (reciprocal of b/p)
1/root 3 is the value for tan 30. 
Hence, angle of elevation is 30 degrees.

Answer 2

3+1=4
ratio 3 =180/4×3 =
45×3 = 135.
ratio 1 =180/4×1 =
45×1 =45.