For a rope course and climbing wall, a guy wire R is attached 47 ft high on a vertical pole. Another guy wire S is attached 40 ft above the ground on the same pole. Find the angle α between the wires if they are attached to the ground 50 ft from the pole.

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crocolylec · Accepted Answer

Let x be the angle of the smaller right triangle and y be the angle of the larger right triangle so that: α=y−x For the smaller right triangle with hypotenuse as guy wire S, we can use the tangent ratio to find x: tan⁡x=4050 x=tan−1(4050) x∼38.66° For the larger right triangle with hypotenuse as guy wire R, we can use the tangent ratio to find y tan⁡y=4750 y=tan−1(4750) y∼43.23° Hence, α=43.23°−38.66° α≈4.57∘

Jeffrey Jordon · Accepted Answer

Answer is given below (on video)

For a rope course and climbing wall, a guy wire R is attached 47 ft high on a vertical pole. Another guy wire S is attached 40 ft above the ground on

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