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Chapter 8: Q. 43 (page 528)

Landscaping Pat needs to determine the height of a tree before cutting it down to be sure that it will not fall on a nearby fence. The angle of elevation of the tree from one

position on a flat path from the tree is 30掳, and from a second position 40 feet farther along this path it is 20掳. What is the height of the tree?

Short Answer

Expert verified

The tree is 39.39 feet tall.

Step by step solution

01

Step 1. Given Information

The angle of elevation from the first position to the top of the tree is 20鈭�.

The angle of elevation from the second position 40 feet away to the top of the tree is 30鈭�.

Find the height of the tree h.

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