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Height & Distance || 17.03.2023

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Question 1

The height of a tower is 50√3 m. The angle of elevation of a tower at a distance 50 m from its feet is?

Question 2

What will be the height of the shadow of a 6 feet man if the shadow of 20 feet tree is 12feet long.

Question 3

A ladder is resting against a wall, the angle between the foot of the ladder and the wall is 45º and the foot of the ladder is 6.6 m away from the wall. The length of the ladder (in m) is:

Question 4

From a point exactly midway between the foot of two towers P and Q, the angles of elevation of their tops are 30^o and 60^o, respectively. The ratio of the height of P to that of Q is :

Question 5

A ladder is resting against a wall at a height of 10 m. If the ladder is inclined with the ground at an angle of 30°, then the distance of the foot of the ladder from the wall is:

Question 6

From the top of a hill 240 m high, the angles of depression of the top and bottom of a pole are 30° and 60°, respectively. The difference (in m) between the height of the pole and its distance from the hill is:

Question 7

A ladder Leaning against a house has angle of elevation 60⁰ and the foot of the ladder is 6.5 metres from the house. The length of the ladder is

Question 8

A man standing on the banks of a river observes that the angle subtended by a tree on the opposite bank is 60°. He walks 36 meters backward on the bank and observes the angle to be 30°. What is the breadth of the river?

Question 9

The angle of elevation of a ladder against a wall is 45°. The length of the ladder is 12 m. What is the distance between the wall and the foot of the ladder?

Question 10

A person of height 6 ft. wants to pluck a fruit which is on a

ft. high tree. If the person is standing

ft. away from the base of the tree, then at what angle should he throw a stone so that, it hits the fruit?

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SSC & Railway Quantitative Aptitude

Mar 17SSC & Railway