A ramp has a height of 3 feet and a base length of 12 feet. Which of the following best represents the angle of elevation?

A. 14°
B. 16°
C. 18°
D. 20°

Respuesta :

Modelling the ramp as right-angle triangle, we have the following diagram (attached)

We'll use one of the trigonometry ratios to find the elevation angle

We have the side that is adjacent to x° = 12 feet and the side that is opposite to x° = 3 feet, we will use the tan ratio

tan x° = opposite side / adjacent side
tan x° = 3/12
tan x° = 0.25
x° = tan⁻¹ (0.25)
x° = 14.03624347 ≈ 14°

Answer: A

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