Step 1: Identify the lengths involved. The ladder is 20 meters long (this is the hypotenuse) and the height of the window is 16 meters (this is the opposite side).
Step 2: Use the sine function to find the angle of elevation. The formula is sin(θ) = opposite/hypotenuse.
Step 3: Substitute the known values into the formula: sin(θ) = 16/20.
Step 4: Simplify the fraction: 16/20 = 0.8.
Step 5: To find the angle θ, use the inverse sine function: θ = sin⁻¹(0.8).
Step 6: Calculate θ using a calculator: θ ≈ 60 degrees.
