Answer:the height of the ramp is 6.1ft
the length of the base of the ramp is 12.6 ft
Step-by-step explanation:
Triangle ABC is a right angle triangle.
The length of the ramp represents the hypotenuse of the right angle triangle.
With 26 degrees being the reference angle,
The opposite side of the right angle triangle = x
The adjacent side of the right angle triangle = y
To determine x, we would apply the Sine trigonometric ratio.
Sin θ = opposite side/hypotenuse
Sin 26 = x/14
x = 14Sin26 = 14 × 0.4384 =
x = 6.1
To determine y, we would apply the Cosine trigonometric ratio.
Cos θ = adjacent side /hypotenuse
Cos 26 = y/14
x = 14Cos26 = 14 × 0.8988 =
x = 12.6
