Answer: Â 4.12
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Explanation:
Draw a right triangle. The horizontal leg is 8 meters. The hypotenuse is 9 meters. The vertical height is unknown, so we'll call it x.
Apply the pythagorean theorem to solve for x
[tex]a^2 + b^2 = c^2\\\\8^2 + x^2 = 9^2\\\\64 + x^2 = 81\\\\x^2 = 81-64\\\\x^2 = 17\\\\x = \sqrt{17}\\\\x \approx 4.1231056\\\\x \approx 4.12\\\\[/tex]
The tree is approximately 4.12 meters tall
Check out the diagram below.
