SOLUTION: Two bicyclists, starting at the same place, are riding toward the same campground by two different routes. One cyclist rides 1070 m due east and then turns due north and travels an

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Question 363068: Two bicyclists, starting at the same place, are riding toward the same campground by two different routes. One cyclist rides 1070 m due east and then turns due north and travels another 1430 m before reaching the campground. The second cyclist starts out by heading due north for 1800 m and then turns and heads directly toward the campground.
At the turning point, how far is the second cyclist from the campground?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Two bicyclists, starting at the same place, are riding toward the same
campground by two different routes.
One cyclist rides 1070 m due east and then turns due north and travels
another 1430 m before reaching the campground.
The second cyclist starts out by heading due north for 1800 m and then
turns and heads directly toward the campground.
At the turning point, how far is the second cyclist from the campground?
:
Draw the diagram of this, it will be apparent that a right triangle is formed:
side 1 = 1070
side 2: 1800 - 1430 = 370
Hypotenuse (h) = 2nd cyclist turning point to camp ground
h = sqrt%281070%5E2+%2B+370%5E2%29
h = 1132.166 meter from turning point to camp ground