A 30 but steel grider is leaning against the wall. The foot of the grinder is 20 feet from the wall find to the nearest degree the angle, the grinder makes with the ground.
To find the angle the grinder makes with the ground, we can use basic trigonometry.
Let's label the angle the grinder makes with the ground as θ. The opposite side of the right triangle formed by the grinder and the ground is 30 feet (height of the grinder), and the adjacent side is 20 feet (distance of the foot of the grinder from the wall).
We can use the tangent function to find the angle θ:
tan(θ) = opposite/adjacent = 30/20 = 3/2
Taking the inverse tangent (arctan) of both sides:
θ = arctan(3/2)
Using a calculator, we find:
θ ≈ 56.31 degrees (to the nearest degree)
Therefore, the angle the grinder makes with the ground is approximately 56 degrees.