Answer:
The distance between Marcus and Joel is approximately 127.3 feet.
Step-by-step explanation:
The distances between Jean to Joel, Jean to Marcus and Marcus to Joel form a right triangle where the distance from Marcus to Joel is the hypothenuse. We can measure the distance from Jean to Marcus and Jean to Joel by using the grid provided, since they're along the same axis. This is shown below:
d(Jean, Marcus) = Jean(x) - Marcus(x) = 100 - 10 = 90 feet
d(Jean, Joel) = Jean(y) - Joel(y) = 90 - 0 = 90 feet
We can apply the pythagora's theorem to find the distance between Marcus and Joel.
d(Marcus,Joel)² = d(Jean,Marcus)² + d(Jean,Joel)²
d(Marcus,Joel)² = (90)² + (90)²
d(Marcus,Joel)² = 2*(90)²
d(Marcus, Joel) = sqrt(2*(90)²) = 90*sqrt(2) = 127.279 feet
The distance between Marcus and Joel is approximately 127.3 feet.
