EASY
10th West Bengal Board
IMPORTANT
Earn 100

When seen from the roof of a 18 m high, five storeyed building, the angle of elevation of the top of a monument is 45°and the angle of depression of the bottom of the monument is 60°. What is the height of the monument?

Important Questions on Problems of Height and Distance

EASY
10th West Bengal Board
IMPORTANT
SCHOOL MATHEMATICS Class 10>Chapter 26 - Problems of Height and Distance>EXERCISE 3>Q 18
The angle of elevation and the angle of depression of the top and bottom of a tower as seen from the roof of a building 15 metre height are 30° and 60° respectively. What is the height of the tower? What is the horizontal distance of the tower from the house ?
EASY
10th West Bengal Board
IMPORTANT
SCHOOL MATHEMATICS Class 10>Chapter 26 - Problems of Height and Distance>EXERCISE 3>Q 19
When seen from the top of a hill 300 metre high the angle of depression of two ends of a straight bridge on the ground are 45° and 30°. Find the length of the bridge. (3=1.732)
MEDIUM
10th West Bengal Board
IMPORTANT
SCHOOL MATHEMATICS Class 10>Chapter 26 - Problems of Height and Distance>EXERCISE 3>Q 20
From the roof and foot of a house 20 metre high it is seen that the angle of depression of the bottom and the angle of elevation of the top of a temple on the same horizontal plane are 30° and 60° respectively. What is the height of the temple and the distance between the house and the temple ?
HARD
10th West Bengal Board
IMPORTANT
SCHOOL MATHEMATICS Class 10>Chapter 26 - Problems of Height and Distance>EXERCISE 3>Q 21
The height of a house subtends a right angle at the window of another house situated just in the opposite side of the road. The angle of elevation of the top of the first house from the window is 30°. If the road is 43 meter broad, then what is the height of the first house and what is the height of the window of the second house from the road?
MEDIUM
10th West Bengal Board
IMPORTANT
SCHOOL MATHEMATICS Class 10>Chapter 26 - Problems of Height and Distance>EXERCISE 3>Q 22
There is a flagstaff on a tower. When the elevation of the flagstaff is 30° then the shadow of the flagstaff is 63 m. What is the height of the flagstaff in m? 
HARD
10th West Bengal Board
IMPORTANT
SCHOOL MATHEMATICS Class 10>Chapter 26 - Problems of Height and Distance>EXERCISE 3>Q 23
Standing in the middle of a field Habul saw a flying bird first at an angle of elevation of 30° in the North and after 2 minutes at an angle of elevation of 60° in the South. If the bird flies at a height of 503 m all along in the same straight line then what is the velocity in km/hr of the bird?
MEDIUM
10th West Bengal Board
IMPORTANT
SCHOOL MATHEMATICS Class 10>Chapter 26 - Problems of Height and Distance>EXERCISE 3>Q 24
The angle of elevation of the top of an incomplete tower at a point which is at a distance of 150 m from the base of the tower is 45°. How much height of the tower should be increased so that the angle of elevation of the top of the new tower at the same point is 60°. [Take 3=1.732]
MEDIUM
10th West Bengal Board
IMPORTANT
SCHOOL MATHEMATICS Class 10>Chapter 26 - Problems of Height and Distance>EXERCISE 3>Q 25
The angle of depression of the top and foot of a lamp-post as seen from the roof of a 14 m high building are 30° and 60°. If the height of the lamp-post is k13 m, find the value of k.