Class 10 · Mathematics · Mathematics

9. Some Applications of Trigonometry

Try question 1

The angle of depression of an object is measured between the line of sight and

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Answer and explanation

Answer: B. the horizontal line through the eye

The object is below the horizontal through the observer's eye; the angle is measured from that horizontal.

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Try question 2

From a point 30 m from the foot of a tower, the angle of elevation of its top is 45°. The height of the tower is

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Answer and explanation

Answer: B. 30 m

tan 45° = h/30 = 1, so h = 30 m.

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Try question 3

A 10 m ladder leans on a wall making 60° with the ground. The height it reaches on the wall is

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Answer and explanation

Answer: C. 5√3 m

Height = 10 × sin 60° = 10 × √3/2 = 5√3 m.

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