Question

The builder of a parking garage wants to build a ramp at an angle of 10°10° that covers a horizontal span of 7575 feet. how long will the actual ramp be? round your solution to four decimal places.

Answer 1

The angle at which builder builds a ramp is 10 degrees

The horizontal span is 75 feet.

When we draw, we get a right angled triangle with its adjacent side as 75 feet and we have to calculate the length of the ramp which is the hypotenuse. Let us assume this to be "x" . Please refer to the attached figure.

Now, we know that the cosine of an angle = adjacent side/hypotenuse side

cos 10 = 75/x

x = 75/cos 10

x = 75/0.984807753

x = 76.1570 Feet

The actual ramp will be 76.1570 Feet