Chapter 1.3, Problem 57PPS

a.

To determine

To represent the location of player

Answer to Problem 57PPS

(47, -25) are the coordinates.

Explanation of Solution

Given information:

Width of court= 50 feet

Length of court= 94 feet

Center is the origin

Calculation:

If center is origin, its coordinates are (0, 0)

Also, the center divides the court equally.

So,  x -axis are divided into 47 units left and right and,

  Y -axis are divided into 25 units top and bottom.

So, player at bottom right is at the location of coordinates (47, -25)

b.

To determine

To find the distance ball travels

Answer to Problem 57PPS

distance ball travelled is $53.23$ units

Explanation of Solution

Given information:

Coordinates of player and origin

Calculation:

Using distance formula,

Let $x_1^{}=0,x_2^{}=47$ and

  $y_1^{}=0,y_2^{}=-25$

Now,

Distance= $\sqrt{{(x_2^{}-x_1^{})}^2+{(y_2^{}-y_1^{})}^2}$

Substituting value,

  $=\sqrt{{(-25-0)}^2+{(47-0)}^2}$

Now,

  $=\sqrt{{(-25)}^2+{47}^2}$

Opening squares,

  $=\sqrt{625+2209}$

Adding,  $=\sqrt{2834}$

Hence, distance ball travelled is $53.23$ units.