Question

Two friends leave school at the same time, sarah is heading due north and beth is heading due east. One hour later they are 10 miles apart. If sarah traveled 8 miles from the school, how many miles had beth traveled?

Answer 1

Answer:

The value of distance traveled by the beat = 6 miles

Step-by-step explanation:

From Δ ABC

AC = distance between two persons after one hour = 10 miles

AB = Distance traveled by sarah = 8 miles

BC = Distance traveled by beth = x miles

From pythagoras theorm

$AC^{2} = AB^{2} + BC^{2}$

$10^{2} = 8^{2} + x^{2}$

$x^{2} = 100 - 64$

$x^{2} = 36$

x = 6 miles

This is the value of distance traveled by the beat.