Question

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°

Explanation:

Step1: Identify right triangle sides

Opposite=3ft, Adjacent=10ft to angle x.

Step2: Apply tangent ratio

$\tan(x)=\frac{\text{Opposite}}{\text{Adjacent}}=\frac{3}{10}=0.3$

Step3: Calculate angle x

$x=\arctan(0.3)\approx16.7^\circ$

Answer:

A. 16.7°