The distance Samantha drives from her friend's house to the school can be found by calculating the hypotenuse of a right triangle with legs of 18 kilometers and 30 kilometers. Using the Pythagorean theorem, we have:
distance^2 = 18^2 + 30^2
distance^2 = 324 + 900
distance^2 = 1224
Taking the square root of both sides, we find:
distance = √1224
Calculating the square root of 1224, we find that the distance Samantha drives from her friend's house to the school is approximately 35.07 kilometers.
Therefore, the correct answer is A. 35 kilometers.
Samantha leaves her house and drives 18 kilometers east to her friend's house. She then drives north to school. Finally, she drives 30 kilometers directly home, in a straight line, from school. A map of Samantha's route is provided below.
How far does Samantha drive traveling from her friend's house to the school?
A.
35 kilometers
B.
12 kilometers
C.
42 kilometers
D.
24 kilometers
1 answer
1 answer