Question

A ramp is used to load suitcases on an airplane. If the cargo door is 7 feet from the ground and the angle formed by the end of the ramp and the ground is 25, how long is the ramp?

Answer 1

Answer:
`16.56\ ft`

Explanation:

You must draw a right triangle as the one attached, where "x" is the lenght in feet of the ramp.

You need to use the following Trigonometric Identity:

`sin\alpha=(opposite)/(hypotenuse)`

In this case you can identify that:

`\alpha =25\°\\\\opposite=7\\\\hypotenuse=x`

Now you must substitute these values into
`sin\alpha=(opposite)/(hypotenuse)`:

`sin(25\°)=(7)/(x)`

Finally, you must solve for "x" in order to find its value.

This is:

`sin(25\°)=(7)/(x)\\\\xsin(25\°)=7\\\\x=(7)/(sin(25\°))\\\\x=16.56`