3. You are skiing down a mountain with a vertical height of 1250 feet. The distance from the top of the mountain to the base is 2500 feet. What is the angle of elevation from the base to the top of the mountain.
Answer (1)
Answer:To determine the angle of elevation from the base to the top of the mountain, we can use trigonometry, specifically the tangent function. The vertical height of the mountain is 1250 feet, and the horizontal distance from the top to the base is 2500 feet. The tangent of the angle of elevation (θ) is given by:tan(θ) = opposite / adjacent = 1250 / 2500 = 0.5To find θ, take the arctangent (inverse tangent) of 0.5:θ = arctan(0.5)Using a calculator, θ ≈ 26.57 degrees.Therefore, the angle of elevation from the base to the top of the mountain is approximately 26.57 degrees.Step-by-step explanation:
