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A tree gets broken at a point due to a storm and its top touches the ground at a distance 20 m from the base of the tree with an angle 45° with the ground. What is the height of the tree?

A tree gets broken at a point due to a storm and its top touches the ground at a distance 20 m from the base of the tree with an angle 45° with the ground. What is the height of the tree? Correct Answer 48.28 m

GIVEN :

A tree gets broken at a point due to a storm and its top touches the ground at a distance 20 m from the base of the tree with an angle 45° with the ground.

CALCULATION : 

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AB = Tan C × 20 = 20 m

And

AC = 20/Sin C = 28.28 m

So,

Height of tree = AB + AC = 48.28 m

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