Trying to find the right answer to this..

Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.

Some Applications of Trigonometry

Short Answer Type

131. From the top of a building 15 m high, the angle of elevation of the top of a tower is found to be 30°. From the bottom of the same building, the angle of elevation of the top of the tower is found to be 60°. Find the height of the tower and the distance between the tower and the building.

22.5 m, 13 m. (app.)

120 Views

132. The angle fo elevation of an aeroplane from a point P on the ground is 60°. After a flight of 15 seconds, the angle of elevation changes to 30°. If the aeroplane is flying at a constant height of

open parentheses bold 1 bold plus square root of bold 3 close parentheses

find the speed of the aeroplane.

121 Views

133. Two men on either side of a cliff 80 m high observe the angles of elevation of the top of the cliff to be 30° and 60° respectively. Find the distance between the two men.

1003 Views

134.

From the top of a tower 100 m. high, the angles of depression of the top and bottom of a pole standing on the same plane as the tower are observed to be 30° and 45° respectively. Find the height of the pole.

From a point P on the ground, the angles of elevation of the top of a 10 m. tall building and a helicopter, hovering at some height over the top of the building are 30° and 60° respectively. Find the height of the helicopters above the ground.

774 Views

135.

The angles of elevation and depression of tine top and bottom of a lighthouse from the top of a building 60 m, are 30° and 60° respectively. Find :
(i) The difference between the heights of the light-house and the building.
(ii) Distance between the light-house and the building.
(ii) Distance between light-house and building = 34.64 m.]
Or
The height of a house students a right angle at the opposite window. The angle of elevation of the window from the base of the house is 60°. If the width of the road is 6 m. Find the height of the house.

120 Views

136. A pole 5 m high is fixed on the top of a tower. The angle of elevation of the top of the pole observed from a point A on the ground is 60° and the angle of depression of the point A from the top of the tower is 45°. Find the height of the tower

91 Views

137. As observed from the top of a light house, 100 m high above sea level, the angle of depression of a ship, sailing directly towards it, changes from 30 to 60°. Determine the distances travelled by the ship during the period of observations.

124 Views

138. The angle of elevation of a cloud from a point 200 m above the lake is 30° and the angle of depression of the reflection of the cloud in the lake is 60°. Find the height of the cloud.

236 Views

139.

On a horizontal plane there is a vertical tower with a flag pole on the top of the tower. At a point 9 metres away from the foot of the tower the angle of elevation of the top and bottom of the flag pole are 60° and 30° respectively. Find the height of the tower and flag pole mounted on it.

From a building 60 metres high the angles of depression of the top and bottom of a lamp-post are 30° and 60° respectively. Find the distance between the lamp-post and building. Also find the difference of height between building and lamp-post.

867 Views

140.

Two pillars of equal height stand on either side of a roadway which is 150 m wide. From a point on the roadway between the pillars on the roadway between the pillars, the elevations of the top of the pillars are 60° and 30°. Find the height of the pillar and the position of the point.

A man standing on the deck of a ship, which is 10 m above water level, observes the angle of elevations of the top of a hill as 60° and angle of depression of the base of the hill as 30°. Find the distance of the hill from the ship and height of the hill.

363 Views