Question

Jamar and Peggy live on opposite sides of a park. Peggy counted how many steps it takes her to get from her house to Jamar's house. She walks 52 steps west and 81 steps south. A. If she could just walk on a path directly from her house to Jamar's house, how many steps would it take? B. Approximately how many steps shorter would the direct route be?

Answer 1

A.96.25 steps. B. Approximately 37 steps shorter

Explanation:

From Pythagoras theory,

Hyp² = Adj² + Opp²

Hyp² = 52² + 81²

Hyp² = 2704 + 6561

Hyp² = 9265

Hyp = √9265

Hyp = 96.25 steps

= 81 + 52 = 133 - 96.25

= 36.75 or approximately 37 steps shorter