Heights and Distances — Practice

Question 1

The angle of elevation of the top of a tower from a point 30 m from its base is 45°. The height of the tower is

Accepted Answer

B

Question 2

The top of a tower of height 30√3 m subtends an angle of 60° at a point on the ground. The distance of the point from the base is

Accepted Answer

A

Question 3

The length of the shadow of a tower is √3 times its height. The sun's angle of elevation is

Accepted Answer

A

Question 4

As an observer walks 40 m toward a tower, the angle of elevation of its top changes from 30° to 60°. The height of the tower is

Accepted Answer

B

Question 5

From the top of a 60 m high tower, the angle of depression of a car on the ground is 30°. The distance of the car from the base of the tower is

Accepted Answer

B

Question 6

The angle of elevation of the top of a tower at a point 100 m from its base is 30°. The height of the tower is

Accepted Answer

C

Question 7

From the top of a 100 m cliff, the angle of depression of a boat changes from 45° to 30° as the boat moves away. The distance travelled by the boat is

Accepted Answer

C

Question 8

Two poles of equal height stand on opposite sides of an 80 m wide road. From a point between them the angles of elevation of their tops are 60° and 30°. The height of each pole is

Accepted Answer

B

Practice — Heights and Distances

Sign in to save attempts to your dashboard and track your accuracy over time

Find a verified tutor

Join a live course

Browse coaching centres

About

Categories

Support

Documentation

Get Study Tips & Updates

Download Our App

Download for iOS

Download for Android

Popular Cities