From a point on the ground the top of the tree is seen to have an angle of elevation 60 °. The distance between the tree and a point is 50 m. Calculate the height of the tree?
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The height of the tree is 50√3 meters.
GIVEN: The point on the ground at the top of the tree is seen to have an angle of elevation of 60 °. The distance between the tree and a point is 50 m.
TO FIND The height of the tree.
SOLUTION:
As we are given in the question,
The angle of elevation is 60 degrees.
The distance between the tree and points (A, C) is 50 meters.
As we know,
Tan 60 = Perpendicular/Base
Also, the base is 50 meters.
Therefore,
Tan 60 = Perpendicular/50
√3 = perpendicular/50
50√3 = Perpendicular
Therefore,
The height of the tree is 50√3 meters.
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