A building is 80 meters tall. From a point 60 meters away from the base of the building, the angle of elevation to the top of the building is what?

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Q: A building is 80 meters tall. From a point 60 meters away from the base of the building, the angle of elevation to the top of the building is what?

Solution: Using tan(θ) = height/distance, tan(θ) = 80/60, θ = tan⁻¹(4/3) ≈ 53.13 degrees.

Steps: 7

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: Use the formula for the tangent of the angle of elevation: tan(θ) = height / distance.
Step 4: Substitute the values into the formula: tan(θ) = 80 / 60.
Step 5: Simplify the fraction: 80 / 60 = 4 / 3.
Step 6: Use the inverse tangent function to find the angle: θ = tan⁻¹(4/3).
Step 7: Calculate the angle using a calculator: θ ≈ 53.13 degrees.

A building is 80 meters tall. From a point 60 meters away from the base of the building, the angle of elevation to the top of the building is what?

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