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If a tree is bent over completely into a upside down V shape, the length of the bottom...

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user6933212 | eNoter

Posted February 10, 2013 at 5:58 PM via web

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If a tree is bent over completely into a upside down V shape, the length of the bottom of the tree to the top of the tree is 13 and the angle made by the top of the tree with the horizontal is 29, what is the length of the tree?

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted February 10, 2013 at 6:09 PM (Answer #1)

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When a tree falls a right triangle is formed. The tree is bent at a point of its length at an angle 90 degrees and the point where the top touches the ground is away from the base of the tree by 13. The angle made by the top of the tree with the horizontal is 29 degrees.

For the right triangle that is formed the length of the hypotenuse us 13. The length of the tree is equal to the sum of the other two sides. This is given by `13*sin 29 + 13*cos 29 ~~ 17.67 `

The length of the tree is approximately 17.67

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