To find the distance through the park, we need to calculate the hypotenuse of a right triangle formed by the two legs, which represent the distances from Sylvia's house to 41st Street and from 41st Street to the bank.
The distance from Sylvia's house to 41st Street is 80 yards, and the distance from 41st Street to the bank is 60 yards.
Using the Pythagorean theorem, we can find the length of the hypotenuse:
Hypotenuse^2 = (80^2) + (60^2)
= 6400 + 3600
= 10000
Taking the square root of both sides, we get:
Hypotenuse = √10000
= 100 yards
Therefore, it is shorter for Sylvia to walk through the park because the distance through the park is 100 yards, whereas the distance straight down Johnson Avenue and straight down 41st Street is 80 + 60 = 140 yards.
Therefore, the walk through the park is 140 - 100 = 40 yards shorter.
Sylvia likes to walk to work when the weather is nice. She works at the bank at the corner of 41st Street and Edison Avenue. Her house is at the corner of 42nd Street and Johnson Avenue. She can walk down Johnson Avenue and turn right on 41st Street, or she can walk through the park. The distance from 42nd Street to 41st Street is 80 yards, and it is 60 yards from Johnson Avenue to Edison Avenue. Assuming the street intersections are 90° angles, how much shorter is it for Sylvia to walk through the park? if Sylvia walks through the park instead of straight down Johnson Avenue and straight down 41st Street, the walk will be?
1 answer
1 answer