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Description:

If fleeing criminals always fled the scene of the crime at perfect right angles, it would be much easier to determine their whereabouts. Fortunately, Phil and Jill have obliged. Unfortunately, their town doesn’t boast the most capable task force.

Language:
English Language
Subjects:
Common Core Standards:

Transcript

00:04

Arithmetic Math Problems, a la Shmoop. Phil and Jill have successfully robbed a bank.

00:11

They can’t get into too much trouble for it, as they are in the bank robbers’ union.

00:15

But they’d rather not deal with the authorities if they can help it.

00:19

Phil rides his getaway bike due north pedaling at 20 miles per hour.

00:23

Jill rides her getaway bike due east pedaling at 22 miles per hour.

00:27

How far apart are they after fifteen minutes? Round the answer to the nearest tenth.

00:35

Here are your choices? Not that Phil or Jill really give a hoot what

00:44

shape they’re forming… …but the local sheriff is intrigued when

00:48

he realizes that… …because Phil and Jill are traveling due

00:51

north and due east, creating a 90 degree angle… … the two fugitives have created a perfectly

00:56

right triangle. Fortunately for Phil and Jill, the cops in

01:01

this town are easily distracted by arithmetic problems.

01:05

The cops decide to let n represent the distance between the two felons…

01:09

…and then use the Pythagorean theorem to work out the distance.

01:16

When we draw it out, it should look something like this….

01:21

0.25 hours times 20 miles per hour squared plus 0.25 hours times 22 miles per hour squared

01:33

equals n squared. This reduces to 5 squared plus 5.5 squared

02:12

equals n squared… …then to 55.25 equals n squared.

02:44

So n equals the square root of 55.25… which is 7.4

02:48

Looks like “C” is our answer. However, by the time the police have arrived

02:57

at this solution… …Phil and Jill are long gone with the loot.

03:00

Maybe now those two can afford a decent getaway vehicle.

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