A straight river flows east at a speed of 11 mi/h. A boater starts at the south shore of the river and wants to arrive at a point on the north shore of the river directly opposite the starting point. The motorboat has a speed of 22 mi/h relative to the water. In what direction should the boat be headed?

The direction should the boat be headed is 60 degrees north 30 degrees west and this can be determined by using the trigonometric functions.

Given :

The following steps can be used in order to determine the direction should the boat be headed:

Step 1 - The trigonometric function can be used in order to determine the direction should the boat be headed.

Step 2 - The mathematical expression of the cosine function is given by:

where is the direction should the boat be headed.

Step 3 - Now, substitute the known values in the above formula.

Step 4 - Simplify the above expression.

Step 5 - So, the angle from the west axis is given by:

The direction should the boat be headed is 60 degrees north 30 degrees west.

For more information, refer to the link given below:

link

N 30 degree W

Step-by-step explanation:

We are given that

Speed of river  flows=11 mi/h(East)

Speed of motorboat  relative to water=22mi/h

We have to find the direction in which the boat should be headed.

Let direction of the boat =

We know that

Using the formula

Because

Angle from the west axis=W

Hence, the direction of boat should be headed in N 30 degree W

what is the answer?