Yasin likes to walk to work when the weather is nice. He works at the bank at the corner of 41st Street and Edison Avenue. His house is at the corner of 42nd Street and Johnson Avenue. Assuming that the street intersections are 90° angles, how far does Yasin need to walk if he goes through the park to work? Round your answer to the nearest tenth, if necessary.
A. 52.9 yd.
B. 10,000 yd
C. 11.8 yd
D. 100 yd
To find the distance Yasin needs to walk if he goes through the park to work, we can think of it as a right triangle where the two legs are the distances he walks on each street and the hypotenuse is the direct distance between his house and work.
Using the Pythagorean theorem, a^2 + b^2 = c^2, where a and b are the lengths of the two legs, and c is the length of the hypotenuse.
Assuming one block is equal to one unit, we can calculate the distance Yasin needs to walk:
a = 1 block = 1 unit
b = 1 block = 1 unit
c = √(1^2 + 1^2) = √(1 + 1) = √2
Therefore, the distance Yasin needs to walk if he goes through the park to work is √2 = 1.41 blocks.
Rounded to the nearest tenth, the answer is 1.4 blocks, which is closest to:
C. 11.8 yd