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Example: Law of Cosines. A plane travels north for 175 miles be-
fore turning around. On the return trip, a strong wind from the east
pushes the plane 18° off course. After traveling 150 miles, how faris
the plane from the airport?
Side ¢
Side b
—— F
Airport
Two sides and the angle between them are known:
b=175
¢ = 150
A = 18°
By the law of cosines, a = \/(b®> + ¢ —2bc cos A).
Keys:
Display:
Description:
B@(MoDES] {DG}
Sets Degrees mode.
175 B(+*] [(+]
30,625.0000 +
150 B(=*] (=]
53,125.0000-
2
175
150 [x]
52,500.8000x
18
x8.9511
Calculates cosine of
18°.
(=)
56,5282
Distance from airport.
8: Additional Examples
119
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