Question

Which is the closest to the value of x?

Answer 1

17.9

Explanation:

Here we are given a right angled triangle with a known angle of 72°, length of the perpendicular to be 17 feet and we are to find the length of the hypotenuse x.

For that, we can use the formula for sin for which we need an angle and the lengths of base and hypotenuse.

`sin \alpha =(perpendicular)/(x)`

So putting in the given values to get:

`sin 72=(17)/(x)`

`x=(17)/(sin 72)`

`x=17.8`

Therefore, the length of six cars is the closest to 17.9.