MEDIUM
10th CBSE
IMPORTANT
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A vertical tower stands on a horizontal plane and is surmounted by a vertical flag-staff of height 5 m. From a point on the plane, the angle of elevation of the bottom and the top of the flag-staff are respectively 30° and 60°. If the height of the tower is h metres then find the value of h.

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Important Questions on Height and Distance

MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 12 - Height and Distance>EXERCISE 12.1>Q 10

A person observed the angle of elevation of the top of a tower as 30°. He walked 50 m towards the foot of the tower along level ground and found the angle of elevation of the top of the tower as 60°. If the height of the tower is k m then find k. (Take 3=1.73)

MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 12 - Height and Distance>EXERCISE 12.1>Q 11
The shadow of a tower, when the angle of elevation of the sun is 45°, is found to be 10 m longer than when it was 60°. If the height of the tower is k m, then find k. (Take 3=1.732)
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 12 - Height and Distance>EXERCISE 12.1>Q 12
A parachutist is descending vertically and makes angles elevation of 45° and 60° at two observing points 100 m apart from each other on the left side of himself. If the maximum height from which he falls is h and the distance of the point where he falls on the ground from the closest observation point is x m, find x+h.(Enter the value only, excluding units) (Take 3=1.732)
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 12 - Height and Distance>EXERCISE 12.1>Q 13
On the same side of a tower, two objects are located. When observed from the top of the tower, their angles of depression are 45° and 60°. If the height of the tower is 150 m, If the distance between the objects isk m, then find k.(3=1.732).
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 12 - Height and Distance>EXERCISE 12.1>Q 14
The angle of elevation of a tower from a point of the same level as the foot of the tower is 30°. On advancing 150 m towards the foot of the tower, the angle of elevation of the tower becomes 60°. If the height of the tower is k m. Find k. Use 3=1.732 
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 12 - Height and Distance>EXERCISE 12.1>Q 15
The angle of elevation of the top of a tower as observed from a point in a horizontal plane through the foot of the tower is 32°. When the observer moves towards the tower a distance of 100 m, he finds the angle of elevation of the top to be 63°. If the height of the tower is h and the distance of the nearest observation position from the tower is x, find x+h.(Exclude units) [Take tan 32°=0.6248 and tan 63°=1.9626]
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 12 - Height and Distance>EXERCISE 12.1>Q 16
The angle of elevation of the top of a tower from a point A on the ground is 30°, on moving a distance of 20 metres towards the foot of the tower to a point B the angle of elevation increases to 60°. If the distance between the foot of tower and point B is x metres, find the value of x.(Take 3=1.73)
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 12 - Height and Distance>EXERCISE 12.1>Q 17
From the top of a building 15 m high the angle of elevation of the top of a tower is found to be 30°. From the bottom of the same building, the angle of elevation of the top of the tower is found to be 60°. If the height of the tower is h and the distance between the tower and building is x, find x+h.(Exclude units)(Take 3=1.73)