Question

a tree is broken at a height of 8m from the ground and its top touches the ground at a distance of 15m from the base of the tree. Find the original height of the tree.

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The original height of the tree is 17 m .

The original height of the tree can be found using the Pythagorean theorem.

The theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

In this case the hypotenuse is the original height of the tree and the other two sides are 8m and 15m. The equation would be

$original height^2 = 8^2 + 15^2$

Solving for original height gives

original height = √(8^2 + 15^2) = √(64 + 225) = √289 = 17m

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