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SSC Quant: Height and Distance Advanced Quiz [Short Tricks]

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Question 1

The angle of elevation of the top of a tower from a distance of 100 m from its foot is 30o. Then the height of the tower is:

Question 2

Two poles of equal heights are standing opposite to each other on either side of a road which is 100m wide. From a point between them on road, angles of elevation of their tops are 30 ° and 60 °. The height of each pole in metre, is

Question 3

Two poles of height 7 m and 12 m stand on a plane ground. If the distance between their feet is 12 m then the distance between their top will be how much?

Question 4

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 5

The angles of elevation of the top of a tower from two points A and B lying on the horizontal line through the foot of the tower are respectively 15° and 30°. If A and B are on the same side of the tower and AB = 48 metre, then the height of the tower is:

Question 6

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 7

A peacock is sitting on the top of a tree. It observes a serpent on the ground at an angle of 30o. If the peacock catches the serpent in 12 sec, flying at the speed of 300 m/min by following the shortest path, find the height of the tree.

Question 8

The angles of elevation of the top of a building and the chimney on the top of the roof of the building from a point on the ground are x° and 45° respectively. If the height of building is 'h' metre. Then the height of the chimney, in metre, is :

Question 9

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 10

At a point on a horizontal line through the base of a monument, the angle of elevation of the top of the monument is found to be such that its tangent is . On walking 138 metres towards the monument the secant of the angle of elevation is found to be The height of the monument (in metre) is
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Jun 12SSC & Railway