Question

1 2 3 4 5 6 7 8 9 10 A theater production group is making frames to support wall-like props. Three-foot beams form right triangles with 10-foot beams to allow them to stand, as shown in the image. What is x, the angle at which the diagonal beam meets the 10-foot beam at the top of the frame? 16.7° 17.5° 72.5° 73.3°

Answer 1

The frames are right triangles shaped.

The three-foot beam is opposed to the angle x and the 10-foot beam is adjacent to the angle x.

Therefore you can use the trigonometric ratio tangent.

tan(x) = opposed-leg / adjacent-leg = 3 / 10

=. x = arctan ( 3 /10) = 16.7°

Answer: 16.7°

Answer 2

The answer is A: 16.76°

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