a golfer takes two putts to get the ball into the hole once he is on the green. the first putt displaces the ball 2.7m east and the second 6.95 m south. what is the direction (in degrees S of E)? answer in units of degree

To find the direction in degrees south of east, we need to find the angle between the south direction and the east direction. We can use trigonometry to solve this problem.

First, we need to find the lengths of the sides of a right triangle formed by the displacements in the east and south directions.

The east displacement is given as 2.7 m, and the south displacement is given as 6.95 m.

Now, we can use the tangent function to find the angle:

tan(θ) = opposite/adjacent

In this case, the opposite side is the south displacement (6.95 m) and the adjacent side is the east displacement (2.7 m).

tan(θ) = 6.95/2.7

Taking the arctan of both sides:

θ = arctan(6.95/2.7)

Using a calculator, we can find the value of θ to be approximately 69.98 degrees.

Therefore, the direction, in degrees south of east, is approximately 69.98 degrees.