Question

A)
You are to construct a decorative wood shelf that has two metal angle supports that fasten to thebottom of the shelf and resemble a right triangle. The shelves are to stick out from the wall 1 foot, andthe diagonal distance of the metal piece is 1.25 feet. Using the inverse of sine, what is the approximateangle formed where the metal piece rests on the wall?
(1 point)
37°
61°
53°
90°
A)
Romeo owns a business that puts up and takes down holiday lights. He is working on a house andplaces the base of his 20-foot ladder at a 4-foot distance from the house. Using the inverse of sine,what is the approximate angle formed where the ladder rests on the house?
(1 point)
78°
90°
12°
34°

Answer 1

A)
sin θ = opposite/hypotenuse = 1 / 1.25 = 0.8 → θ = arcsin(0.8) ≈ 53°

B)
sin θ = opposite/hypotenuse = 4 / 20 = 0.2 → θ = arcsin(0.2) ≈ 12°