graph y = sin(x) on the graphing calculator. use the graph to determine the height of the barnacle with…

graph y = sin(x) on the graphing calculator. use the graph to determine the height of the barnacle with respect to water level as the boat has traveled the given distance. when the boat has traveled 7 meters, the height of the barnacle is approximately: -1 m -0.657 m 0.657 m 1 m when the boat has traveled 10 meters, the height of the barnacle is approximately: -1 m -0.544 m 0.544 m 1 m

graph y = sin(x) on the graphing calculator. use the graph to determine the height of the barnacle with respect to water level as the boat has traveled the given distance. when the boat has traveled 7 meters, the height of the barnacle is approximately: -1 m -0.657 m 0.657 m 1 m when the boat has traveled 10 meters, the height of the barnacle is approximately: -1 m -0.544 m 0.544 m 1 m

Answer

Explanation:

Step1: Substitute distance into sine - function

We know the function is $y = \sin(x)$. When the boat has traveled $x = 7$ meters, we substitute $x = 7$ into $y=\sin(x)$. Using a calculator in radian mode, $y=\sin(7)\approx0.657$. When the boat has traveled $x = 10$ meters, we substitute $x = 10$ into $y=\sin(x)$. Using a calculator in radian mode, $y=\sin(10)\approx - 0.544$.

Answer:

When the boat has traveled 7 meters, the height of the barnacle is approximately 0.657 m. When the boat has traveled 10 meters, the height of the barnacle is approximately - 0.544 m.