I understood this unit fairly well. The component method made more sense to me than the law of cosines method, though I could use the law of cosines when I had to. Sometimes with the component method I wasn't sure which angle to solve for. On the test, the problem I struggled with (number 2) was hard for me because I couldn't figure out how to draw the picture. The pictures are important for me.
2a) Use simple trig to calculate the speed of the current. You know the angle is 34 degrees and the hypotenuse is 4 km/hr. You need to calculate the opposite side, so you use sine.
sin34=x/4
x=2.24 km/hr.
2c) Here, you know that the adjacent side to the angle you need is 4 km/hr and the opposite side is 2.24. In order to find the angle, you can use tangent.
tan2.24/4=
29.25 degrees
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