Question

At some time of a day , the length of shadow of a tower is equal to its height .find the suns altitude at that time.

Answer 1

 let the height of tower be x and the angle be y°..

now, tan (theta) = height / base

ATQ, height = base

tan 45°= 1, so if the angle will be 45° then

=> height / base = 1
=> height = base

 that means the angle

y° = 45°

Answer 2

let height of the tower = x
so , length of shadow also = x
so , tanø = perpendicular/ base
tanø = x/x
tanø = 1
tanø = tan45
so, ø = 45
hence ,sun altitude =45 ans..