If the ratio between length of shadow of a tower and height of tower is `sqrt(3)` : 1, then find the angle of elelvation of the sun.

Explanation

Let AB be the tower and BC be its shadow, its shadow, when the angle of elevation of the sun is `theta`.
As per question, BC : AB `= sqrt(3)` : 1
`rArr " " (BC)/(AB) = sqrt(3) " " rArr (AB)/(BC)=(1)/(sqrt(3))`……………….(1)
Now, from the right-angled triangle ABC,
`tan theta = (AB)/(BC)`
rArr `tan theta = (1)/(sqrt(3)` [ from (1) ]
`rArr tan theta = tan 30^(@)`
`rArr theta = 30^(@)`
Hence the angle of elevation of the sun is `30^(@)`.