Question

You are to construct a decorative wood shelf that has two metal angle supports that fasten to the bottom of the shelf and resemble a right triangle. The shelves are to stick out from the wall 1 foot, and the diagonal distance of the metal piece is 1.25 feet. Using the inverse of sine, what is the approximate angle formed where the metal piece rests on the wall?(1 point)

53°

61°

37°

90°

Answer 1

sin⁻¹(1 / 1.25) = sin⁻¹(0.8) ≈ 53° — so the angle is about 53°.