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A 12-foot high ladder reaches a tree limb when it leans at a 36 degree angle with the ground. Approximately how far away is the base of the ladder from the tree trunk base?

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naǫ
Look at the picture.

[tex]\cos 36^\circ = \frac{x}{12} \\ 0.809 \approx \frac{x}{12} \\ 0.809 \times 12 \approx x \\ x \approx 9.708[/tex]

The base of the ladder is approximately 9.708 feet from the tree trunk base.
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