38. If at some time of the day the ratio of the height of a vertically

1.	38. If at some time of the day the ratio of the height of a vertically standingpole to the length of its shadow on the ground is v3:1 then find theCBSE 2017angle of elevation of the sun at that time.
Answer» The height of a vertically standing pole to the length of its shadow on the ground is √3:1 Consider the height of pole be √3 ∴ length of shadow =1. In a triangle ABC, tan ∠ACB = √3/1 tan ∠ACB = √3 ∠ACB =60°

38. If at some time of the day the ratio of the height of a vertically standingpole to the length of its shadow on the ground is v3:1 then find theCBSE 2017angle of elevation of the sun at that time.

Answer»

The height of a vertically standing pole to the length of its shadow on the ground is √3:1

Consider the height of pole be √3

∴ length of shadow =1.

In a triangle ABC,

tan ∠ACB = √3/1

tan ∠ACB = √3

∠ACB =60°