Master Vector Problems: Tips for Solving Tricky Physics Equations

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ch3570r
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Its my first year in a physics class, and I am having a few problems with two particular vector problems.

Im not sure how to actual draw out the diagrams for the problem.

Any help would be fully appreciated

(I know the answers for the first problem, but I want to know how to get it; 49m, 7.3degrees to the right of down field)
 
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Here are the problems again, just written out:

1. A football player runs directly down the field for 35 m before turning to the right at an angle of 25degrees from his original direction and running an additional 15 m before getting tackled. What is the magnitude and direction of the runner's total displacement? (answers are 49m, and 7.3degrees, but how do you get them??)

2. A plane travels 2.5 km at an angle of 35degrees to the ground, then changes direction and travels 5.2 km at an angle of 22degrees to the ground. What is the magnitude and direction of the plane's total displacement?? (I don't know the answer to this one)

I have tried drawing each of them out, but I am not sure if I am drawing them right. Is my diagram for the second problem right? (attachment)
 
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