Height & Distance Mcqs

1.

The top of a 15 metre high tower makes an angle of elevation of 60° with the bottom of an electric pole and angle of elevation of 30° with the top of the pole. What is the height of the electric pole ?

A. 5 metres

B. 8 metres

C. 10 metres

D. 12 metres

Answer & Solution Discuss in Board

2.

The angle of elevation of the sun, when the length of the shadow of a tree is √3 times the height of the tree, is :________?

A. 30°

B. 45°

C. 60°

D. 90°

Answer & Solution Discuss in Board

3.

From a point P on a level ground, the angle of elevation of the top of a tower is 30°. If the tower is 100 m high, the distance of point P from the foot of the tower is :_________?

A. 149 m

B. 156 m

C. 173 m

D. 200 m

Answer & Solution Discuss in Board

4.

If the height of a pole is 2√3 metres and the length of its shadow is 2 metres, find the angle of elevation of the sun.

A. 50°

B. 60°

C. 70°

D. 80°

Answer & Solution Discuss in Board

5.

Two ships are sailing in the sea on the two sides of a lighthouse. The angles of elevation of the top of the lighthouse as observed from the two ships are 30° and 45° respectively. If the lighthouse is 100 m high, the distance between the two ships is :_________?

A. 173 m

B. 200 m

C. 273 m

D. 300 m

Answer & Solution Discuss in Board

6.

The angle of elevation of a ladder leaning against a wall is 60° and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is :_________?

A. 2.3 m

B. 4.6 m

C. 7.8 m

D. 9.2 m

Answer & Solution Discuss in Board

Practice MCQ Questions and answers on Height & Distance Mcqs

1. The top of a 15 metre high tower makes an angle of elevation of 60° with the bottom of an electric pole and angle of elevation of 30° with the top of the pole. What is the height of the electric pole ?

Answer & Solution

2. The angle of elevation of the sun, when the length of the shadow of a tree is √3 times the height of the tree, is :________?

Answer & Solution

3. From a point P on a level ground, the angle of elevation of the top of a tower is 30°. If the tower is 100 m high, the distance of point P from the foot of the tower is :_________?

Answer & Solution

4. If the height of a pole is 2√3 metres and the length of its shadow is 2 metres, find the angle of elevation of the sun.

Answer & Solution

5. Two ships are sailing in the sea on the two sides of a lighthouse. The angles of elevation of the top of the lighthouse as observed from the two ships are 30° and 45° respectively. If the lighthouse is 100 m high, the distance between the two ships is :_________?

Answer & Solution

6. The angle of elevation of a ladder leaning against a wall is 60° and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is :_________?

Answer & Solution

Read More Section(Mathematics Quizzes)

1.

The top of a 15 metre high tower makes an angle of elevation of 60° with the bottom of an electric pole and angle of elevation of 30° with the top of the pole. What is the height of the electric pole ?

2.

The angle of elevation of the sun, when the length of the shadow of a tree is √3 times the height of the tree, is :________?

3.

From a point P on a level ground, the angle of elevation of the top of a tower is 30°. If the tower is 100 m high, the distance of point P from the foot of the tower is :_________?

4.

If the height of a pole is 2√3 metres and the length of its shadow is 2 metres, find the angle of elevation of the sun.

5.

Two ships are sailing in the sea on the two sides of a lighthouse. The angles of elevation of the top of the lighthouse as observed from the two ships are 30° and 45° respectively. If the lighthouse is 100 m high, the distance between the two ships is :_________?

6.

The angle of elevation of a ladder leaning against a wall is 60° and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is :_________?