CBSE Class 10-Mathematics: Chapter –9 Some Applications of Trigonometry Part 12

Get top class preparation for CBSE right from your home: fully solved questions with step-by-step explanation- practice your way to success.

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.

Height of Lamppost is h Meter

Height of Lamppost is H Meter

Loading image

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.

A man standing on the deck of a ship

A Man Standing on the Deck of a Ship

Loading image

Answer:

Let Height of hill

In right

In right

Equating the values of , we get

And distance of hill from ship