MEDIUM
10th CBSE
IMPORTANT
Earn 100

On a horizontal plane there is a vertical tower with a flagpole 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 flagpole are 60° and 30° respectively. Find the height of the tower and the flagpole mounted on it. [Take 3=1.732]

Important Questions on Heights and Distances

MEDIUM
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 14 - Heights and Distances>Exercise 14>Q 11
Two poles of equal heights are standing opposite to each other on either side of the road which is 80 m wide, From a point O between them on the road, the angle of elevation of the top of one pole is 60° and the angle of depression from the top of another pole at O is 30°. Find the height of each pole and distances of the point O from the poles.
MEDIUM
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 14 - Heights and Distances>Exercise 14>Q 12
Two men are on opposite sides of tower. They measure the angles of elevation of the top of the tower as 30° and 45° respectively. If the height of the tower is 50 meters, find the distance between the two men. [Take 3 = 1.732]
MEDIUM
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 14 - Heights and Distances>Exercise 14>Q 13
From the top of a tower 100 m high, a man observe two cars on the opposite sides of the tower and in same straight line with its base, with angles of depression 30° and 45° respectively. Find the distance between the cars
MEDIUM
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 14 - Heights and Distances>Exercise 14>Q 14
A straight highway leads to the foot of a tower. A man standing on the top of the tower observes a car at an angle of depression of 30°, which is approaching the foot of the tower with a uniform speed. Six seconds later, the angle of depression of the car is found to be 60°. Find the time taken by the car to reach the foot of the tower from this point.
MEDIUM
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 14 - Heights and Distances>Exercise 14>Q 15
A TV tower stands vertically on a bank of a canal. From a point on the other bank directly opposite the tower the angle of elevation of the top of the tower is 60°. From another point 20 m away from this point on the line joining this point to the foot of the tower, the angle of elevation of the top of the tower is 30°. Find the height of the tower and the with of the canal.
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MEDIUM
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 14 - Heights and Distances>Exercise 14>Q 16
The angle of elevation of the top of a building from the foot of a tower is 30°. The angle of elevation of the top of the tower from the foot of the building is 60°. If the tower is 60 m high, find the height of the building. 
MEDIUM
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 14 - Heights and Distances>Exercise 14>Q 17
The horizontal distance between two towers is 60 meters. The angle of depression of the top of the first tower when seen from the top of the second tower is 30°. If the height of the second tower is 90 meters. Find the height of the first tower. [ Use 3 = 1.732]
MEDIUM
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 14 - Heights and Distances>Exercise 14>Q 18
The angle of elevation of the top of a chimney from the foot of a tower is 60° and the angle of depression of the foot of the chimney from the top of the tower is 30°. If the height of the tower is 40 meters. Find the height of the chimney. According to pollution control norms, the minimum height of a smoke emitting chimney should be 100 m. State if the height of the above mentioned chimney meets the pollution norms. What value is discussed in this question?