Math  /  Geometry

QuestionCarolina is hanging Christmas lights from a tree in the center of her yard. She wants the lights to be straight similar to the diagram below. She knows the lights are 30 feet ( ft .) long. She stands 5512ft5 \frac{5}{12} \mathrm{ft}. tall and holds the lights 616ft6 \frac{1}{6} \mathrm{ft}. away from the point where they will secure into the ground. Using the diagram, how far up the tree should she place the hook to hold the lights? \square ft.

Studdy Solution
Calculate the square root:
a310316 a \approx \frac{\sqrt{31031}}{6}
Using a calculator:
a176.1629.35 ft. a \approx \frac{176.1}{6} \approx 29.35 \text{ ft.}
The height on the tree where the hook should be placed is approximately:
29.35 ft. \boxed{29.35} \text{ ft.}

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