SOLUTION: Two children in nearby houses attempt to use walkie-talkies to communicate. The walkie-talkies reach one-quarter of a mile (1,320 feet). From one child's house to the other, the wa

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Two children in nearby houses attempt to use walkie-talkies to communicate. The walkie-talkies reach one-quarter of a mile (1,320 feet). From one child's house to the other, the wa      Log On


   



Question 1136317: Two children in nearby houses attempt to use walkie-talkies to communicate. The walkie-talkies reach one-quarter of a mile (1,320 feet). From one child's house to the other, the walk along the city sidewalks is as follows: Proceed 450 feet from the first house to the nearest corner, turn right 90°, and proceed another 1,050 feet.
Are the children's houses within the 1,320-foot range of one another? Choose the best answer.

A. Yes, as the distance formula indicates.
B. No, but if the turn were to the left instead, they would be within range.
C. No, because the distance is greater than 1,320 feet.
D. Yes, because city blocks are much smaller than one quarter of a mile.

Answer by Saffana(5) About Me  (Show Source):
You can put this solution on YOUR website!
Use the pythagorean formula to find the distance between the houses
+450%5E2+%2B+1050%5E2+=+d%5E2
+202500+%2B+1102500+=+d%5E2
+1305000=d%5E2
+d=+sqrt%281305000%29
d = 1142.37 feet (approximately)
The distance of 1142 feet is less than the range of a quarter mile of 1320 feet
THE ANSWER IS:
A. Yes, as the distance formula indicates.