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At a point on the ground 80 ft from the base of a tree, the distance to the top of the tree is 11 ft more than 2 times the height of the tree. find the height of the tree.

Respuesta :

Kylercarter199
well i think because it says" 2 time the height of the tree" you would divide 80 by 2 the subtract 11  which is  80/2=40 - 11=39ft tall 

A) would be 39 feet tall 

The height of the tree is 39 ft.

What is a Right-Angled Triangle ?

A triangle is called a right angle triangle if one of the angle is 90 degree.

The distance of the point from the bottom of the tree is 80ft

Let the height of the tree is x ft

The distance from the top is 2x+11

As a right angled triangle is forming

By applying Pythagoras Theorem

(2x+11)² = x² + 80²

4x²+ 44x +121 = x²+6400

3x² +44x -6279= 0

By solving the equation

x = 39ft

Therefore, the height of the tree is 39 ft.

To know more about Right-Angled Triangle

https://brainly.com/question/3770177

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