samayvShar samayvShar

30-11-2016
Physics

Answered

VECTORS HELP~~

A ship is heading due north at 12 mph. The current

is flowing southwest at 4 mph. Find the actual bearing and speed

of the ship.

Verified Answer :

Kianagruber Kianagruber

30-11-2016

R² = 12² + 4² - 2124cos45°
R² = 92.12
R = 9.6 mph ===========> ANSWER

Use law of sines to find bearing
4/sinA = R/sin45°
sinA = 4sin45°/9.6 = 0.2946278......
A = 17.14°
bearing = North 17.14° West or 342.86°

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