Question

Oscar uses a board to form a walking plank across a small ditch that has uneven sides. The board is 6 feet in length and stretches across the entire gap. The higher side of the ditch is 3 feet above the other side. Using the inverse of sine, what is the approximate angle of elevation formed between the board and the lower side of the ditch?(1 point)

Answer 1

Let θ be the angle between the board and the lower side. sin θ = opposite/hypotenuse = 3/6 = 1/2, so θ = sin⁻¹(1/2) = 30°.