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NDA || Mathematics || Trigonometry || Inverse Trigonometry and Height &Distance || Quiz 2020

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Question 1

The Value of  is

Question 2

Consider the following:

1)

2)

Which of the above is/are correct?

Question 3

The value of  is equal to

Question 4

The principal value of  lies in the interval

Question 5

Evaluate

Question 6

If  then find the value of 2A

Question 7

A shooter at the top of a tower observed that an unknown person is coming toward the tower. He uses telescope and found that the distance of the person is 120 meters and the angle of depression is . If the shooter has to shoot the person when the person is 80 meters away from the bottom of tower, find the angle of depression at which the person will be shot?

Question 8

Two ladder of length 6 meters and 8 meters are leaning against two different walls each side of a pathway making angles  and  respectively with the ground. If distance between the wall is 15 meters, what is the distance between the bottom of ladders?

Question 9

A man on the top of rock rising on a seashore observes a boat coming towards it. If it takes 20 minutes for the angle of depression to change from 30° to 60°, how soon the boat reaches the shore?

Question 10

The upper part of a long tree broke and leaned against nearby another small tree such that, the broken part makes an angle of  with horizon. If the height of smaller tree is 18 meters and distance between the tree is 6 meters, find the height of the larger tree before it was broken?
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