pinerocatherine85 pinerocatherine85
  • 24-06-2020
  • Mathematics
contestada

A tree casts an 8-foot shadow on the ground. The length from the tip of the shadow to the top of the tree is 17 feet. What is the height of the tree?

Respuesta :

PiaDeveau PiaDeveau
  • 29-06-2020

Answer:

Height of tree = 15 ft

Step-by-step explanation:

Given:

Length of shadow (Base) = 8 ft

Length from the tip to top of the tree (Hypotenues) = 17 ft

Find:

Height of tree = ?

Computation:

Using Pythagoras theorem:

[tex]Height\ of\ tree = \sqrt{Hypotenues^2 - base^2} \\\\Height\ of\ tree = \sqrt{17^2 - 8^2} \\\\Height\ of\ tree = \sqrt{289-64}\\\\Height\ of\ tree = \sqrt{225}\\\\ Height\ of\ tree =15[/tex]

Height of tree = 15 ft

Answer Link
alexanderjflynt
alexanderjflynt alexanderjflynt
  • 19-02-2021

Answer:

The answer is 15 feet from the ground to the top of the tree.

Step-by-step explanation:

Answer Link

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