MEDIUM
10th West Bengal Board
IMPORTANT
Earn 100

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 ?

Important Questions on Problems of Height and Distance

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.
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 bottom of a lamp post as seen from a point on the roof of a building 303 m high are 30° and 60°. If the height of the lamp post is k3, find the value of k.
HARD
10th West Bengal Board
IMPORTANT
SCHOOL MATHEMATICS Class 10>Chapter 26 - Problems of Height and Distance>EXERCISE 3>Q 26
The angle of elevation of the top of a tower from a point A on the ground is 30°. From the point A if a man moves 20 m towards the foot of the tower and reaches a point B then the angle of elevation increases to 60°. Find the height of the tower and the distance of the tower from the point A.
MEDIUM
10th West Bengal Board
IMPORTANT
SCHOOL MATHEMATICS Class 10>Chapter 26 - Problems of Height and Distance>EXERCISE 3>Q 27
The height of the two towers are 180 m and 60 m. The angle of elevation of the top of the second tower from the bottom of the first tower is 30°. Find the angle of elevation of the top of the first tower from the bottom of the second tower.