Draw an imaginary triangle from the given data.

You know the measures of two sides and their included angle, so use the

Law of cosines to find the unknown side measure.

In , by the law of cosines, .

Substitute

           (Evaluate powers)

                       (Multiply)

                                  (Add: )

                                (Take the square root of each side)

                                                             (Use a calculater)

The distance between Brian and the hoop is 6.7 ft.