The angle of elevation of the top of a tower from a point on the ground is 30°. If the height of the tower is 20√3 metre

Question

The angle of elevation of the top of a tower from a point on the ground is 30°. If the height of the tower is 20√3 metres, then the distance of the point from the base of the tower is:

Accepted Answer

The angle of elevation is 30°, so the distance of the point from the base of the tower can be calculated using the tangent function. Let's call the distance x. Then, tan(30°) = 20√3 / x. We know that tan(30°) = 1/√3, so we can rewrite the equation as 1/√3 = 20√3 / x. Multiplying both sides by x and then dividing by √3, we get x = 20√3 × √3 / 1 = 60 metres.

Applications of Trigonometry

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