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The angle of elevation of the top of a lighthouse 100 m high, from two points on the ground on its opposite sides are 45 degree and 60 degree. What is the distance between these two points?

The angle of elevation of the top of a lighthouse 100 m high, from two points on the ground on its opposite sides are 45 degree and 60 degree. What is the distance between these two points? Correct Answer 100 (1 + 1 / √3) m

Given, Height = 100m, point A angle = 45, point B angle = 60 Let the distance from point A to lighthouse = x m, from point B to lighthouse = y m. Point A ➩ tan 45 = height / base distance ➩ 1 = 100 / x ➩ x = 100 m Fish B ➩ tan 60 = height / base distance ➩ √3 = 100 / y ➩ y = 100 / √3 m Total distance = 100 + 100 / √3 = 100 (1 + 1 / √3) m

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