Let's call the length of each light string "x".
We know that the height of the flagpole is 7 feet.
Using the sine ratio, we can set up the equation:
sin(73.5°) = 7/x
To solve for x, we can rearrange the equation:
x = 7/sin(73.5°)
Using a calculator, we find that sin(73.5°) is approximately 0.9626.
So x ≈ 7/0.9626 ≈ 7.27
Therefore, each light string must be approximately 7.27 feet long.
Trey wants to use string lights to build a flagpole lighted tree in his front yard. Trey already has a 7-foot-tall pole mounted in the ground. If the angle each light string makes with the ground is 73.5°, use the sine ratio to determine how long each light string must be to reach the top of the pole. Round the answer to the nearest tenth. (1 point)
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