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Height & Distance || 04.09.2021

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Question 1

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 2

What will be the height of the shadow of a 6 feet man if the shadow of 20 feet tree is 12feet long.

Question 3

The height of a tower is 50√3 m. The angle of elevation of a tower at a distance 50 m from its feet is?

Question 4

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 5

A person of height 6 ft. wants to pluck a fruit which is on a ft. high tree. If the person is standing ft. away from the base of the tree, then at what angle should he throw a stone so that, it hits the fruit?

Question 6

A ladder Leaning against a house has angle of elevation 600 and the foot of the ladder is 6.5 metres from the house. The length of the ladder is

Question 7

The string of a kite is 30 m long and it makes an angle 60° with the horizontal. The height of the kite above the ground is:

Question 8

P and Q are two points on the ground on either side of a pole. The angles of elevation of the top of the pole as observed from P and Q are 60° and 30°, respectively and the distance between them is 84√3 m. What is the height (in in) of the pole?

Question 9

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 10

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
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Sep 4SSC & Railway