Question

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 10 meters, the height of the barnacle is approximately:

Answer 1

The answer is -0.544 m, when the boat reaches 10 meters.

Answer 2

height of the barnacle approximately, is, -0.544 m

Explanation:

Let y represents the height and x represents the distance traveled by the boat respectively.

Given the function : y =sin(x) ......[1]

It is also, given that the boat has traveled 10 meters.

To find the height of the barnacle:

Substitute the value of x =10 m in the given equation [1];

y = sin (10)

Simplify:

y (approx)=-0.544 meters

therefore, the height of the barnacle is, -0.544 when the boat reaches 10 meters.

You can also see the graph of the given function as shown below.