Respuesta :
Answer: The height of the ramp is about 6.1 feet.
The length of the base of the ramp is about 12.6 feet.
Step-by-step explanation:
A right angle triangle is formed by the length of the ramp, its height and the angle of elevation.
The height of the ramp represents the hypotenuse of the right angle triangle. The height of the ramp, h represents the opposite side of the right angle triangle. The length of the base of the ramp, b represents the adjacent side of the right angle triangle.
To determine h, we would apply
the Sine trigonometric ratio.
Sin θ, = opposite side/hypotenuse. Therefore,
Sin 26 = h/14
h = 14Sin26 = 14 × 0.4384
h = 6.1 feet
To determine b, we would apply
the Cosine trigonometric ratio.
Cos θ = adjacent side/hypotenuse. Therefore,
Cos 26 = b/14
b = 14Cos26 = 14 × 0.8988
b = 12.6 feet
The height of the ramp is 6.1feet
SOH CAH TOA identity
According to the question, we are to find the hegt pf the ramp. Accordint to the COH CAH TOA identity;
Sin θ, = opposite side/hypotenuse.
Sin 26 = h/14
h = 14Sin26 = 14 × 0.4384
h = 6.1 feet
Hence the height of the ramp is 6.1feet
To determine b, we would use the Cosine trigonometric ratio.
Cos θ = adjacent side/hypotenuse. Therefore,
Cos 26 = b/14
b = 14Cos26 = 14 × 0.8988
b = 12.6 feet
Hence the value of b is 12.6 feet
Learn more on soh cah toa here; https://brainly.com/question/20734777
