MEDIUM
10th CBSE
IMPORTANT
Earn 100

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.

Important Questions on Heights and Distances

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?
MEDIUM
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 14 - Heights and Distances>Exercise 14>Q 19
From the top of a 7 meter high building, the angle of elevation of the top of a cable tower is 60° and the angle of depression of its foot is 45° . Determine the height of the tower. [Use 3 = 1.732]
MEDIUM
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 14 - Heights and Distances>Exercise 14>Q 20
The angle of depression from the top of a tower of a point A on the ground is 30°. On moving a distance of 20 meters from the point A towards the foot of the tower to a point B, the angle of elevation of the top of the tower from the point B is 60°. Find the height of the tower and its distance from the point A.
MEDIUM
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 14 - Heights and Distances>Exercise 14>Q 21
The angle of elevation of the top of a vertical tower from a point on the ground is 60°. From another point 10 m vertically above the first, its angle of elevation is 30°. Find the height of the tower.
MEDIUM
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 14 - Heights and Distances>Exercise 14>Q 22
The angles of depression of the top and bottom of a tower as seen from the top of a 603 m high cliff are 45° and 60° respectively. Find the height of the tower.