Two bicyclists, starting at the same place, are riding toward the same campground by two different routes. One cyclist rides 1420 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 2120 m and then turns and heads directly toward the campground.
Suppose the cyclists start from A, that the first one goes east, turns north at B, and that the second one goes north to D before both converge to the campground C.
DC = sqrt(AB^2 + (AD - BC)^2)
= sqrt(1420^2 + (2120 - 1430)^2)
If the angle south of east is t, then:
tan(t) = (2120 - 1430) / 1420
t = 25.91deg.
draw this out.
use a^2 + b^2 = c^2
you know 1430 and 1420 so solve for c.
then this will give you a and c for the next part, which will help you find b. from there you should be able to answer the first part of your question.
A) 1578.76534038 = 1579m
B) Sorry can't remember
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