A light house throws light on the seashore up to a distance of 70 m If the angle it - Maths - Circles

Question

A light house throws light on the seashore up to a distance of 70 m
If the angle it makes while spreading light is 60 degrees, find the
area covered by it

Rupak Bhattacharya · Accepted Answer

The light will cover a conical area of height equal to the height of the light houseand radius = 70 mso we can write tan60=70h; h=70tan60=703so the total area of the conical shaped regionA=πr(r+h2+r2) =33168
54 m2

A light house throws light on the seashore up to a distance of 70 m. If the angle it makes while spreading light is 60 degrees, find the area covered by it.