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Height & Distance || 10.06.2021

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Question 1

A balloon is flying at a height of 150 m from the level ground attached to a string inclined at 30 ° to the horizontal. Find the length of the string assuming that there is no slack in it.

Question 2

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 3

A ladder is kept against a wall at an angle of 30° with the ground. The height of the wall is 14 m. Find the length of the ladder:

Question 4

A sailor saw the top of a lighthouse from an angle of elevation of 45°. If the lighthouse tower is 250m tall then approximately how far is the sailor from the top of the lighthouse?

Question 5

A person observes the angle of elevation of a building as 30°. The person proceeds towards the building with a speed of 25(√3-1) m/hour. After 2 hours, he observes the angle of elevation as 45°. The height of the building (in meter) is

Question 6

From two points on the ground and lying on a straight line through the foot of a pillar the two angles of elevation of the top of the pillar are complementary to each other. If the distances of the two points from the foot of the pillar are 9 meters and 16 meters and the two points lie on the same side of the pillar, then the height of the pillar is

Question 7

The upper part of a tree broken over by the wind makes an angle of 60o with the ground. The distance between the root and the point where the top of the tree touches the ground is 25 metres. What was the height (in metres) of the tree?

Question 8

Form a point P on the ground the angle of elevation of the top of a 10 m tall building is 30 º. A flag is hoisted at the top of the building and the angle of elevation of the top of the flagstaff from P is 45 º. Find the length of the flagstaff.
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Question 9

From the top of a platform 7 m high, the angle of elevation of a tower was 30 °. If the platform was positioned 50√3 m away from the tower, how tall was the tower?

Question 10

In an ∆ABC, AB : BC = 3 : 1 and ∆ABC is right-angled at B. Find the value of sin C + cot A:
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Jun 10SSC & Railway