Solve the problem. Be sure to make a diagram of the situation with all the given information labeled. A 72.1-foot rope from the top of a circus tent pole is anchored to the ground 43.7 feet from the bottom of the pole. What angle does the rope make with the pole? Round to the nearest tenth of degree. (Assume the pole is perpendicular to the ground.)
A)37.3°
B)39.3 °
C)42.3 °
D)42.7 °
E)34.4 °

Question

Solve the problem. Be sure to make a diagram of the situation with all the given information labeled. A 72.1-foot rope from the top of a circus tent pole is anchored to the ground 43.7 feet from the bottom of the pole. What angle does the rope make with the pole? Round to the nearest tenth of degree. (Assume the pole is perpendicular to the ground.)  ​
A)37.3°
B)39.3 °
C)42.3 °
D)42.7 °
E)34.4 °

Quizplus · Accepted Answer

Using trigonometry, specifically the tangent function, the angle θ can be found using tan(θ) = opposite/adjacent = 43.7/72.1. Solving for θ gives approximately 37.3°.

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