MEDIUM
Stage 1 & 2
IMPORTANT
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A man while walking towards a tower at a constant speed, observed that the angle of elevation of the top of the tower changed to 60° from 45° and took 10 min. How much more time will he take to reach the tower?

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Important Questions on Height and Distance

MEDIUM
Stage 1 & 2
IMPORTANT
Target NTSE Class 10 Stage 1 & 2 Solved Papers (2015 – 19)>Chapter 16 - Height and Distance>Target Exercise>Q 3
A ladder that rests against a virile wall makes 60° angle with the ground and its top is 63 ft above the ground. The foot of the ladder is moved away from the wall along the ground while its angle with the ground becomes 45°. How much is the distance by which the ladder is moved along the ground?
HARD
Stage 1 & 2
IMPORTANT
Target NTSE Class 10 Stage 1 & 2 Solved Papers (2015 – 19)>Chapter 16 - Height and Distance>Target Exercise>Q 4
The angle of elevation of a bird flying above an aeroplane, as observed from the aeroplane is 30°. At the same time the angle of elevation of the aeroplane as observed from a point on the ground and vertically below the bird is 60°. If the shortest distance between the bird and the aeroplane at that moment is 1500 m, then the height of the aeroplane above the ground is
MEDIUM
Stage 1 & 2
IMPORTANT
Target NTSE Class 10 Stage 1 & 2 Solved Papers (2015 – 19)>Chapter 16 - Height and Distance>Target Exercise>Q 5
A building which is 30 m high was observed from a point on the ground. Observer found the angle of elevation of a point on the second floor of the building which is 10 m above the ground same as the angle subtended by the rest of the building above the point P. If the height of the observer is to be ignored, approximate distance between the observer and the foot of the building is Take 3=1.732
MEDIUM
Stage 1 & 2
IMPORTANT
Target NTSE Class 10 Stage 1 & 2 Solved Papers (2015 – 19)>Chapter 16 - Height and Distance>Target Exercise>Q 6
A cat saw a rat when it was exactly at the middle of the vertical tower. At that moment the angle of elevation as observed by the cat was 30°. The cat ran a certain distance towards the tower to chase the rat, which is at the top of the tower. If the cat which is now 20 m away from the foot of the tower finds the angle of elevation of the rat to be 60°, what distance cat ran?
HARD
Stage 1 & 2
IMPORTANT
Target NTSE Class 10 Stage 1 & 2 Solved Papers (2015 – 19)>Chapter 16 - Height and Distance>Target Exercise>Q 7
Two poles at points A and B stands on a horizontal place. C and D are two points between them. The angle of elevation of the top of the poles as observed from the point Care 30°, 60° and from point D are 60° and 45°. If CD=30 m, then AB is equal to
EASY
Stage 1 & 2
IMPORTANT
Target NTSE Class 10 Stage 1 & 2 Solved Papers (2015 – 19)>Chapter 16 - Height and Distance>Target Exercise>Q 8
A man who is 6 ft tall found the angle of elevation of the top of a tower to be 45°. If the angle of depression at the foot of the tower as observed by the man is 30°, what is the height of the tower?
HARD
Stage 1 & 2
IMPORTANT
Target NTSE Class 10 Stage 1 & 2 Solved Papers (2015 – 19)>Chapter 16 - Height and Distance>Target Exercise>Q 9
A man standing on the lighthouse observes the angle of elevation of a boat coming towards the lighthouse to be 60° from 30° in 15 min. How much time will the boat take to reach the foot of the lighthouse?
MEDIUM
Stage 1 & 2
IMPORTANT
Target NTSE Class 10 Stage 1 & 2 Solved Papers (2015 – 19)>Chapter 16 - Height and Distance>Target Exercise>Q 10
A 50 m high pole which is above a 250 m high building observed by an observer standing at a height of 300 m. If the top of the building and the top of the pole subtends equal angle i.e., θ at the observer, then the horizontal distance of the observer from the pole is