On the school playground, the slide is 7.4 feet west of the tire swing and 6.7 feet south of the monkey bars. During recess, Lucy plays on the tire swing first. Lucy then goes to slide down the slide before meeting up with another friend at the monkey bars. Then Lucy returns back to the tire swing. What is the total distance traveled by Lucy?

24.08 feet

Explanation:

First Lucy goes from the tire swing to the slide, so the distance travelled is 7.4 feet.

Then, Lucy goes from the slide to the monkey bars, so she travelled 6.7 feet.

Finally, Lucy goes back to the tire swing, and this distance can be calculated using  Pythagoras Theorem, as these courses make a triangle with a 90 degrees angle:

X^2 = 6.7^2 + 7.4^2

X^2 = 99.65

X = 9.98 feet

So this last course measures 9.9825 feet.

The total length Lucy travelled is 7.4 + 6.7 + 9.98 = 24.08 feet

the part of the wave he is travelling on is the crest