Answer to Question #89399 in Trigonometry for Jadyn

Question

What is the length of a ramp that has a 25.1 degree incline and rises 11.5 m?

Answer 1

Since the height is 11.5 m, calculate the length of the bottom of the ramp:

$$\frac{\text{height}}{\text{length}}=\text{tan}\alpha,$$

$$\text{length}=\frac{\text{height}}{\text{tan}\alpha}=\frac{11.5}{\text{tan}25.1^\circ}=24.5\text{ m}.$$