Some Applications of Trigonometry — sample questions with answers.

2949 verified some applications of trigonometry questions sit in the bank for this chapter alone. Here are 4 of them, worked; a free account gets a full, board-pattern paper across whichever chapters you pick.

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1 mark Assertion–Reason

Assertion (A): A tower

m high subtends an angle of

at a point

m from its foot.
Reason (R): For this triangle,

(A) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).	(B) Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
(C) Assertion (A) is true but Reason (R) is false.	(D) Assertion (A) is false but Reason (R) is true.

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(C)

2 marks Short answer

A ladder

m long rests against a vertical wall and reaches a window

m above the ground. Find the angle the ladder makes with the ground.

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3 marks Short answer

From the top of a tower

m high, the angle of depression of a cyclist is

. Find the horizontal distance of the cyclist from the foot of a tower.

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5 marks Long answer

Two poles of equal height stand opposite each other on either side of a road

m wide. From a point between them on the road, the angles of elevation of the tops of the poles are

and

respectively. Find the height of the poles and the distances of the point from them.

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Height

m; distances

m and

This is a slice of one chapter. The full bank covers every chapter of CBSE Class 10 Mathematics, board-pattern, with a fresh answer key every time.

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