Answer to Question #142041 in Physics for Joshua Nguyen

Question

1. A bowling ball is released at the near right corner of a bowling lane and
travels 19.1 m at an angle of 3.0° with respect to the lanes length. The
ball reaches the far left corner of the lane, where it knocks over the 7
pin. What is the width of the lane? (1.00 m)

Answer 1

The trajectoty of the ball is shown on the figure below

Here $w$ is the required width of the lane. From the right triangle $\triangle ABC$:

$$w = 19.1m\times \sin3\degree \approx 1 m$$

Answer. 1 m.