Question 2: To find the acute angle the ladder makes with the ground, we can use trigonometric ratios. Let's denote the angle the ladder makes with the ground as θ. In this scenario, we have a right triangle formed by the ladder, the ground, and the wall. The length of the ladder forms the hypotenuse of the right triangle, and the height at which it reaches the wall forms one of the legs. Given: Length of the ladder (hypotenuse): 10 meters Height at which the ladder reaches the wall: 5 meters We can use the trigonometric function sine (sin) to find the acute angle θ. The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse. sin(θ) = opposite / hypotenuse In this case, the opposite side is the height of the ladder against the wall, which is 5 meters, and the hypotenuse is the length of the ladder, which is 10 meters. sin(θ) = 5 / 10 Simplifying the expression: sin(θ) = 0.5 Now, to find the angle θ, we can take the inverse sine (sin^(-1)) of both sides of the equation: θ = sin^(-1)(0.5) Using a scientific calculator, we find that sin^(-1)(0.5) is approximately 30 degrees. Therefore, the acute angle the ladder makes with the ground is approximately 30 degrees.