# Math

a plane flies 1.5 hours at 110 mph on a bearing of 10°. it then turns and flies 8.5 hours at the same speed on a bearing of 100°. How far is the plane from its starting point?

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1. A bearing is a direction you look.
A HEADING is a direction you sail or fly.

anyway:
10 degrees heading is 10 degrees east of north
100 degrees heading is 10 degrees south of east
so
North distance = 1.5*110 cos 10 - 8.5*110 sin 10

East distance = 1.5*110 sin 10 + 8.5*110 cos 10
--------------------
factor 110 out of all of that and add it back at the end
n = 110 (.0012)
e = 110 (8.63)
d^2 = n^2+e^2 = 110 sqrt(.0012^2+8.63^2)
=110(8,63)
= 949 miles

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