Question

A tree that is 12 feet tall casts a shadow that is 6 feet long. What is the distance from the top of the tree to the tip of the shadow? Round to the nearest tenth.

Answer 1

13.4 ft

Explanation:

[Note: See attached image to go along with explanation]

To solve this problem, we will use the Law of Cosines.

`c^(2)=a^(2)+b^(2)-2ab(cosC)`

`C^(2)=12^(2)+6^(2)-2(12)(6)(cos90)\\C^(2)=144+36-144(0)\\C^(2)=180\\C=√(180) \\C=13.41640786`

So, the distance from the top of the tree to the tip of the shadow is 13.4 ft long.

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