Question

rudys school is 2 miles west of his house and 8 miles south of his friend tracys house. every day, rudy bicycles from his house to his school. after school, he bicycles from his school to tracys house. before dinner, he bicycles home on a bike path that goes straight from tracys house to his own house. how far does rudy bicycle each day? if necessary, round to the nearest tenth. miles

Explanation:

Step1: Calculate house to school

Distance = 2 miles.

Step2: Calculate school to Tracy’s house

Distance = 8 miles.

Step3: Calculate Tracy’s to Rudy’s house

Use Pythagoras: $\sqrt{2^2 + 8^2} = \sqrt{4 + 64} = \sqrt{68} \approx 8.2$ miles.

Step4: Sum total distance

Total = 2 + 8 + 8.2 = 18.2 miles.

Answer:

18.2