# CBSE Class 10-Mathematics: Chapter –9 Some Applications of Trigonometry Part 1

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## 1 Mark Questions

Question 1:

A man standing on the deck of a ship, which is above the water level, observes the angle of elevation of the top of a hill as and the angle of depression of the base of the hill as . Calculate the distance of the hill from the ship and the height of the hill.

Answer:

Let AB be the ship and CD be the hill.

Let

In right

In right

Height of the hill

Question 2:

A boy is standing on the ground and flying a kite with 100 m of string at an elevation of . Another boy is standing on the roof of a 20 m high building and is flying his kite at an elevation of Both the boys are on the opposite sides of both the kites. Find the length of the string that the second boy must have so that the two kites meet.

Answer:

Let

In right

Now in right

Question 3:

The angle of elevation of the top Q of a ve

rtical tower PQ from a point X on the ground is . At a point Y, vertically above X, the angle of elevation is , find the height of the tower PQ and the distance XQ.

Answer:

In right ,

In right ,

In right