A ten foot long ladder leans against a wall, with the top of the ladder being eight feet above the ground. What is the approximate angle that the ladder makes with the ground?

A) 37°
B) 47°
C) 53°
D) 60°

tan(Θ) = 8/10

To find the approximate angle that the ladder makes with the ground, we can use trigonometry. In this case, we have a right triangle formed by the ladder, the wall, and the ground.

The ladder acts as the hypotenuse of the triangle, with a length of 10 feet. The height of the ladder on the wall is 8 feet.

We can use the tangent function to find the angle. The tangent of an angle in a right triangle is equal to the length of the opposite side divided by the length of the adjacent side.

In this case, the opposite side is the height of the ladder on the wall (8 feet) and the adjacent side is the distance of the ladder from the wall (10 feet).

So, the tangent of the angle is 8/10, or 0.8.

Using a calculator, we can find the inverse tangent (or arctan) of 0.8 to get the angle in degrees.

The approximate angle that the ladder makes with the ground is 53.13 degrees.

Therefore, the correct answer is C) 53°.

To find the approximate angle that the ladder makes with the ground, we can use trigonometry.

The ladder, the wall, and the ground form a right triangle. The height of the wall (opposite side) is 8 feet, and the hypotenuse is the length of the ladder which is 10 feet. We want to find the angle (θ) made by the ladder with the ground.

In trigonometry, we use the sine function to find the angle in a right triangle. The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse. In this case, sin(θ) = opposite/hypotenuse = 8/10 = 0.8.

To find the angle θ, we can take the inverse sine (also known as arcsine) of 0.8. Using a scientific calculator or an online tool, we find that sin^(-1)(0.8) ≈ 53.13°.

Therefore, the approximate angle that the ladder makes with the ground is approximately 53°.

So, the correct answer is C) 53°.

60