# math

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If the distance between location A to B is straight east 10 km. then from B to C is Nw 18KM How far would you be from point C to A.

• math -

Use the Pythagorean Theorem.

(AB)^2 + (AC) ^2 = (BC)^2

substitute for AB and BC.
then solve for AC

• math -

no, just use the cosine law
AC^2 = 10^2 + 18^2 - 2(10)(18)cos45° ---- assuming that Nw meant "northwest"

= 169.44...
AC = √169.44.. = appr 13.02 km

• math -

Rose,
Sorry, I got in a hurry.

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