Question

9. A vertically straight tree, 15m high is broken by the wind in such a way that it top just touches
the ground and makes an angle of 600 with the ground, at what height from the ground did the
tree break?​

Answer 1

Answer:

9.5m

Step-by-step explanation:

A

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B C

The lenght of the tree = AB + AC = 15m

The angle made by tree with ground at C,

∆C = 60⁰

Here, sinC = AB/AC

Let AB = a then, AC = 15-a

sin60⁰ = a/(15-a)

√3/2 = a/(15-a)

15√3 - a√3 = 2a

15√3 = a(2+√3)

a = 15√3 / (2+√3)

a = 9.5 m

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