CDS || Elementary Mathematics || Height & Distance || Quiz

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Question 1

On a field, there is a vertical pillar with a tower on its top. At a point 14 meters away from the foot of the pillar, the angles of elevation of the top and bottom of the tower are and  respectively. Find the difference of the height of the pillar and the tower.

Question 2

A ball is dropped from a height 64 m above the ground and every time it hits the ground it rises to a height equal to half of the previous. What is the height attained after it hits the ground for the 16th time?

Question 3

What is the angle of elevation of the sun when the shadow of a pole is times the length of the pole?

Question 4

A ladder 25 m long is leaning against a wall which is perpendicular to the level ground. The bottom of the ladder is 7 m from the base of the wall. If the top of the ladder slips down 4 m, how much will the bottom of the ladder slip?

Question 5

What is the angle of elevation of the sun, when the shadow of a pole of height 20 m is ?

Question 6

In a rectangle, the angle between a diagonal and a side is  and the length of this diagonal is 8 cm. The area of the rectangle is

Question 7

In a right angled triangle ABC, right-angled at B, if cos A =  , then what is sin C equal to ?

Question 8

Two poles of height 7m and 12m stand on a plane ground. If the distance between their feet is 12 m, what is the distance between their top?

Question 9

The angle of elevation of sun when length of shadow of a tree is three times the height of the tree is:

Question 10

When the angle of elevation of sun changes from to , the length of shadow of a tree decreases by meters. What is the height of tree?
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Apr 6CDS & Defence