Question

The builder of a parking garage wants to build a ramp at an angle of 16 degrees covers a horizontal span of 55 feet. How long will the actual ramp be? Round yoursolution to four decimal places.

Answer 1

Let's draw the ramp to better understand the problem:

For us to be able to determine how long the ramp will be, we will be using the Cosine Function.

We get,

`\text{ Cosine }\Theta\text{ = }\frac{\text{ b}}{\text{c}}`
`Cosine(16^(\circ))\text{ = }(55)/(x)`
`x\text{ = }\frac{55}{Cosine(16^(\circ))\text{ }}`
`\text{ x = }(55)/(0.9612616959)`
`x=57.216468974668940618504468175387`
`\text{ x }\approx\text{ 57.2165 feet}`

Therefore, the answer is 57.2165 feet.