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a highway is to be built between two towns, one of which lies 35.0 km south and 72.0 km west of the other. what is the shortest...Asked by natalie
A highway is to be built between two towns, one of which lies 47.0 km south and 69.0 km west of the other. (a) What is the shortest length of highway that can be built between the two towns, and (b) at what angle would this highway be directed, as a positive angle with respect to due west?
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Answered by
Henry
X = 47 km.
Y = 69 km.
a. d^2 = X^2+Y^2 = 47^2 + 69^2 = 6970
d = 83.49 km.
b. Tan A = Y/X = 69/47 = 1.46809
A = 55.74o W of S = 34.26o S of W.
Y = 69 km.
a. d^2 = X^2+Y^2 = 47^2 + 69^2 = 6970
d = 83.49 km.
b. Tan A = Y/X = 69/47 = 1.46809
A = 55.74o W of S = 34.26o S of W.
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