Trigonometric Equations Question 173

Question: A tree is broken by wind, its upper part touches the ground at a point 10 metres from the foot of the tree and makes an angle of $ 45^{o} $ with the ground. The total length of tree is

[BIT Ranchi 1992]

Options:

A) 15 metres

B) 20 metres

C) $ 10,(1+\sqrt{2}) $ metres

D) $ 10,( 1+\frac{\sqrt{3}}{2} ) $ metres

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Answer:

Correct Answer: C

Solution:

  • Obviously, the length of the tree is equal to $ 10+10\sqrt{2}=10(1+\sqrt{2})m $ .