To find the approximate angle formed where the metal piece rests on the wall, we can use the inverse sine function.
Let's denote the angle as θ. The opposite side of the triangle is 1 foot (since the shelves stick out from the wall 1 foot) and the hypotenuse is 1.25 feet (the diagonal distance of the metal piece).
Using the definition of sine, sin(θ) = opposite/hypotenuse. In this case, sin(θ) = 1/1.25 = 0.8.
Taking the inverse sine of 0.8, we get θ ≈ 53°.
Therefore, the approximate angle formed where the metal piece rests on the wall is 53°.
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?
90°
61°
37°
53°
1 answer