Question

In a game of catch, Evan is 12 feet south of Bert, and 16 feet west of Janelle. How far does Bert need to throw the ball to get it to Janelle?

A) 20 feet
B) 22 feet
C) 28 feet
D) 30 feet

Answer 1

Bert needs to throw the ball 20 feet to get it to Janelle.

Step-by-step explanation:

To find the distance Bert needs to throw the ball to get it to Janelle, we can use the Pythagorean theorem.

Since Evan is 12 feet south of Bert and 16 feet west of Janelle, we can create a right triangle with these measurements as the legs.

The distance Bert needs to throw the ball will be equal to the hypotenuse of this triangle.

Using the Pythagorean theorem, we find that the distance Bert needs to throw the ball is sqrt(12^2 + 16^2) = sqrt(144 + 256) = sqrt(400) = 20 feet. Therefore, the answer is option A) 20 feet.