Your uncle is planting an 8-foot tall tree. He ties support wires to the tree, 1 foot from the top, and ties them to posts on the ground, 4 feet from the trunk of the tree. How long is each wire to the nearest tenth of a foot?

h = 8 f t b = 4 f t a = 8 − 1 = 7 f t c 2 = a 2 + b 2 c 2 = 7 2 + 4 2 c 2 = 49 + 16
c 2 = 65 c = 65 ​ c = 8.06225 ≈ 8.1 f t A n s w er : t h e w i re ha s a \length 8.1 f t

Answered by Lilith | 2024-06-10

The length of each support wire is approximately 8.1 feet. This is calculated using the Pythagorean theorem with the height from the tie to the ground (7 feet) and the horizontal distance to the post (4 feet). Thus, the final answer is 8.1 feet when rounded to the nearest tenth.
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Answered by Lilith | 2024-12-23