Step 1: Identify the height of the building, which is 80 meters.
Step 2: Identify the distance from the point to the base of the building, which is 60 meters.
Step 3: Understand that the angle of elevation (θ) is the angle formed between the line of sight to the top of the building and the horizontal line from the point to the base of the building.
Step 4: Use the tangent function, which relates the angle of elevation to the opposite side (height of the building) and the adjacent side (distance from the building). The formula is tan(θ) = height/distance.
Step 5: Plug in the values: tan(θ) = 80 meters (height) / 60 meters (distance).
Step 6: Simplify the fraction: tan(θ) = 4/3.
Step 7: To find the angle θ, use the inverse tangent function: θ = tan⁻¹(4/3).
Step 8: Calculate θ using a calculator: θ ≈ 36.87 degrees.
