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CDS || Elementary Mathematics || Height and Distance || Quiz

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Question 1

From the top of a lamp post of height x metres, two objects on the ground on the same side of it (and in line with the foot of the lamp post) are observed at angles of depression of , respectively.

The distance between the objects is m. The value of x is:

Question 2

the area of a sector of the circle having radius 36 cm is 72cm2. The length of the corresponding arc of the sector will be

Question 3

The top of a broken tree has its top touching to the ground ( as shown in the figure) at a distance of 10 m from the bottom . if the angle made by the broken part with ground is 30o, then the length of the tree is

Question 4

From the top of a lamp post of height x metres, two objects on the ground on the same side of it (and in line with the foot of the lamp post) are observed at angles of depression of , respectively.

The distance between the objects is . The value of x is:

Question 5

The angle of elevation of a tower at a level ground is . The angle of elevation becomes  when moved 15 m towards the tower. If the height of the tower is 10 m, then the value of is?
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Aug 24CDS & Defence