Question: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.
Answers:
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.
(a)
DC = sqrt(AB^2 + (AD - BC)^2)
= sqrt(1420^2 + (2120 - 1430)^2)
= 1578.76m.
(b)
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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