13. Mac and Tosh are resting on top of the water near the end of the pool when Mac creates a surface wave. The wave travels the length of the pool and back in 25 seconds. The pool is 25 meters long. Determine the speed of the wave. PSYW 14. A fisherman uses a sonic ranger to determine the depth of a lake. The sound waves travel at 1210m/s through the water and require 0.020 seconds to travel to the lake's bottom and back to the boat.How deep is the lake?PSYW

13. To determine the speed of the wave, we need to use the formula:<br /><br />Speed = Distance / Time<br /><br />Given information:<br />- The pool is 25 meters long.<br />- The wave travels the length of the pool and back in 25 seconds.<br /><br />Step 1: Calculate the total distance traveled by the wave.<br />Total distance = 2 × 25 meters = 50 meters<br /><br />Step 2: Calculate the speed of the wave.<br />Speed = Total distance / Time<br />Speed = 50 meters / 25 seconds<br />Speed = 2 meters/second<br /><br />Therefore, the speed of the wave is 2 meters/second.<br /><br />14. To determine the depth of the lake, we need to use the formula:<br /><br />Depth = (Speed × Time) / 2<br /><br />Given information:<br />- The sound waves travel at 1210 m/s through the water.<br />- The sound waves require 0.020 seconds to travel to the lake's bottom and back to the boat.<br /><br />Step 1: Calculate the total time for the sound waves to travel to the lake's bottom and back.<br />Total time = 0.020 seconds × 2 = 0.040 seconds<br /><br />Step 2: Calculate the depth of the lake.<br />Depth = (Speed × Time) / 2<br />Depth = (1210 m/s × 0.040 s) / 2<br />Depth = 24.2 meters<br /><br />Therefore, the depth of the lake is 24.2 meters.