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Guru

## If at some time of the day the ratio of the height of a vertically standing pole of length of its shadow on the ground is 3 ​ :1 then find the angle of elevation of the sun at that time.

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We have a question from trigonometry (height and distance)  in which we are to find the angle of elevation of ...Read more

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Guru

## From the top of a hill, the angles of depression of two consecutive kilometer stones due east are found to be 30o and 45o . Find the height of the hill

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I have not been able to solve this question of trigonometry (height and distance) in which we have to find ...Read more

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Guru

## From a point on the ground the angle of elevation of the bottom and top of the communication tower fixed at the top of 20 meters high tower are 45 degrees and 60 degrees. find the height of the tower

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This is the basic and conceptual question from trigonometry (height and distance) in which we are to find the height ...Read more

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Guru

## An aeroplane is flying at a height of 300 m above the ground. Flying at this height, the angles of depression from the aeroplane of two points on both banks of a river in opposite directions are 45 o and 60 o respectively. Find width of the river. [Use √3 =1.732]

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We have a question from trigonometry (height and distance)  in which we found difficulty in finding the width of a ...Read more

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Guru

## A man observes a car from the top of a tower, which is moving towards the tower with a uniform speed. If the angle of depression of the car changes from 30 o to 45 o in 12 minutes, find the time taken by the car now to reach the tower.

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One of the most important and exam oriented question as it was already asked in previous year paper of 2017 ...Read more

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Guru

## From the top of a building AB, 60 m high, the angles of depression of the top and bottom of a vertical lamp post CD are observed to the 30° and 60° respectively. Find (i) The horizontal distance between AB and CD, (ii) the height of the lamp post, (iii) the difference between the heights of the building and the lamp post

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This is the basic and exam oriented question as it was already asked in previous year paper of 2009 in ...Read more

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Guru

## An electrician has to repair an electric fault on a pole of height 4m.She needs to reach a point 1.3m below the top of the pole to undertake the repair work. What should be the length of the ladder that she should use which, when inclined at an angle of 60° to the horizontal, would enable her to reach

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This is one of the difficult question from trigonometry (height and distance) in which we are to find the length ...Read more

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Guru

## From the top of a vertical tower , the angles of depression of two cars , in the same straight line with the base of tower , at an instant are found to be 45 and 60 . If the cars are 100 m apart and are on the same side of the tower , find the height of the tower . [ Use √3 = 1.73 ]

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This is the basic and conceptual question from trigonometry in which we have to find the height of the tower ...Read more

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Guru

## A ladder of length 6 m makes an angle of 45 degree with the floor while leaning against one wall of a room. If the foot of the ladder is kept fixed on the floor and it is made to lean against the opposite wall of the room, it makes an angle of 60 degree with the floor. Find the distance between these two walls of the room.

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An important and exam oriented question as it is already asked in previous year paper of 2011 in which we ...Read more

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Guru

## The angles of elevation of the top of a tower from two points at a distance of 4 m and 9 m from the base of the tower and in the same straight line with it are complementary. Prove that the height of the tower is 6 m

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This is the basic and conceptual question from height and distance in which we are to Show that the height ...Read more