SSC CGL (HEIGHT & DISTANCE) QUANT QUIZ

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Question 1:

If $2 \tan x+3 \cot x=5$, then the value of $4 \tan ^{2} x+9 \cot ^{2} x$ is:

Question 2:

The height of a tower is 300 meter. When its top seen from top of another tower then the angle of depression is 60 . The horizontal distance between the base of the two tower is 120 meters. What is the height (in meters) of the small tower.

Question 3:

Shivani files a kite on a $32 \mathrm{~cm}$ string at an inclination of $60^{\circ}$. at what height above the ground is the kite flying -

Question 4:

What is length of the longest rod that can be placed in a room which is $3 \mathrm{~m}$ long, $4 \mathrm{~m}$ broad and $5 \mathrm{~m}$ high.

Question 5:

A person observe that the angle of elevation at the top of a pole of height 10 meter is $30^{\circ}$ .Then the distance of person from the pole is :

Question 6:

From the top of a hill $300 \mathrm{~m}$ high the angle of depression of the top and the bottom of a tower are observed to be $30^{\circ}$ and $60^{\circ}$. The height of the tower is.

Question 7:

A telegraph post is bent at a point above the ground due to storm. Its top first touches the ground at a distance of $10 \sqrt{3}$ meter from it foot and makes an angle of $30^{\circ}$ with the horizontal. Then height of the telegraph post is:

Question 8:

A kite is flying in the sky. The length of string between a point on the ground and kite is $240 \mathrm{~m}$. The angle of elevation of string with the ground is $60^{\circ}$. Assuming that there is no slack in the string, what is the height (in metres) of the kite?

Question 9:

If the angle of elevation of the top of a building from a point is $20 \sqrt{3}$ meter away from its base is $60^{\circ}$, the height of the building is:

Question 10:

A ladder 15 meters long just reaches the top of a vertical wall. If the ladder makes an angle of $60^{\circ}$ with the wall, find the height of the wall.