A pool player located at $X$ wants to shoot the white ball off the top cushion and hit the red ball dead center. He knows from physics that the white ball will come off a cushion at the same angle as that at which it hit the cushion. If the deflection angle, $\theta$, is $51^{\circ}$, where on the top cushion should he hit the white ball? Which of the following is the correct trigonometric function to use to find where the ball should hit the top bumper? A. cosine B. tangent C. sine D. None of the above trigonometric functions will be useful. The white ball should hit the top cushion $\square \mathrm{ft}$ from the upper left corner. (Round to two decimal places as needed.)

Step 1 ：A pool player located at $X$ wants to shoot the white ball off the top cushion and hit the red ball dead center. He knows from physics that the white ball will come off a cushion at the same angle as that at which it hit the cushion. If the deflection angle, $\theta$, is $51^\circ$, where on the top cushion should he hit the white ball?

Step 2 ：Which of the following is the correct trigonometric function to use to find where the ball should hit the top bumper?

Step 3 ：The correct trigonometric function to use to find where the ball should hit the top bumper is \(\boxed{\text{B. tangent}}\).

Step 4 ：The white ball should hit the top cushion $\square \mathrm{ft}$ from the upper left corner. (Round to two decimal places as needed.)