CBSE Class 10-Mathematics: Chapter – 9 Some Applications of Trigonometry Part 12 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Question 21:

From the top of a building 60 m high, the angles of depression of the top and bottom of a vertical lamp post are observed to be and respectively. Find:

(i) The horizontal distance between the building and the lamp post

(ii) The height of the lamp post.

Answer:

Suppose height of lamppost is h meter.

In

In right

By eq. (i) and (ii)

Question 22:

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 Height of hill

In right

In right

Equating the values of , we get

And distance of hill from ship