Question

22. Dante rides his bicycle due west at 10 miles per hour. Annie rides her bicycle due north

at 12.5 miles per hour. If they both leave Annie's house at the same time, approximately
how far apart, in miles, are they after 4 hours?
A
16
B.
23
C. 64
D. 90

Answer 1

C. 64. After 4 hours, Dante and Annie are approximately 64 miles apart.

Step-by-step explanation:

To determine their distance apart after 4 hours, we need to find the displacements of both Dante and Annie for that time period. Dante travels west at 10 miles per hour for 4 hours, resulting in a displacement of 10 miles per hour x 4 hours = 40 miles. Annie travels north at 12.5 miles per hour for 4 hours, resulting in a displacement of 12.5 miles per hour x 4 hours = 50 miles. Using the Pythagorean theorem, the distance between them is the square root of the sum of the squares of their displacements = sqrt((40 miles)^2 + (50 miles)^2). Calculating this, we find that they are approximately 64 miles apart.

Answer 2

C in my opinion
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