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Horizontal Level and Line of Sight

The angle of ...

Question

The angle of elevation from a point 30 metre from the base of tree as level ground to the top of the tree is 60^o. The height of the tree is :

A

30√3 m

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B

30 m

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C

³⁰/_√3 m

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D

60√3 m

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Solution

The correct option is A
30√3 m

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Q. A window in a building is at a height of 10 m from the ground. The angle of depression of a point P on the ground from the window is 30°. The angle of elevation of the top of the building from the point P is 60°. Find the height of the building.

Or, in a violent storm, a tree is bent by the wind. The top of the tree meets the ground at an angle of 30°, at a distance of 30 metres from the root. At what height from the bottom did the tree get bent? What was the original height of the tree?

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