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RRB JE 2019 | Day 42 | Quant [Height & Distance] Quiz 25

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Question 1

The distance between two pillars of length 16 metres and 9 metres is x metres. If two angles of elevation of their respective top from the bottom of the other are complementary to each other, then the value of x (in metres) is

Question 2

The length of the shadow of a vertical tower on level ground increases by 10 meters when the altitude of the sun changes from 45 ° to 30 °. Then the height of the tower is

Question 3

A man standing at a point C is watching the top of a tower, which makes an angle of elevation of 30 °. The man walks some distance towards the tower and then his angle of elevation of the top of the tower is 60 °. If the height of the tower is 30 m, then the distance he moves is

Question 4

If a pole of 12 m height casts a shadow of m long on the ground, then the sun’s angle of elevation at that instant is

Question 5

From two points on the ground and lying on a straight line through the foot of a pillar, the two angles of elevation of the top of the pillar are complementary to each other. If the distances of the two points from the foot of the pillar are 12 meters and 27 meters and the two points lie on the same side of the pillar, then the height (in meters) of the pillar is

Question 6

The shadow of a tower standing on a level plane is found to be 40 m longer when the sun's altitude is 45°, than when it is 60°. The height of the tower 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

The angle of elevation of the sun when the length of the shadow of a pole is equal to its height is :

Question 9

The cliff of a mountain is 180 m high and the angles of depression of two ships on the either side of cliff are 30o and 60o respectively. What is the distance between the two ships? (√3=1.732)

Question 10

The angles of elevation of the top of a tree 220 meters high from two points lie on the same plane are 30 ° and 45 °. What is the distance (in metres) between the two points?
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