CBSE Class 10-Mathematics: Chapter – 9 Some Applications of Trigonometry Part 18 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Question 2:

Two poles of equal heights are standing opposite each other on either side of the road, which is wide. From a point between them on the road, the angles of elevation of the top of the poles are respectively. Find the height of the poles and the distances of the point from the poles.

Two Poles of Equal Heights

Answer:

In right triangle ABC,

In right triangle ABD,

From eq. (i) and (ii) ,

From eq. (i) ,

Hence height of the tower is and the width of the canal is 10 m.

Question 3:

A tall girl spots a balloon moving with the wind in a horizontal line at a height of from the ground. The angle of elevation of the balloon from the eyes of the girl at any distant is . After some time, the angle of elevation reduces to (see figure) . Find the distance travelled by the balloon during the interval.

Find the Distance Travelled
Find the Distance Travelled

Answer:

In right triangle ABC,

In right triangle PQC,

Hence the distance travelled by the balloon during the interval is