(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A golfer drives a golf ball 214 m [E] off the tee, then hits it 96 m [28 degrees N of E], and finally putts the ball 12 m [ 25 degrees S of E ]. Determine the displacement from the tee needed to get a hole-in-one using (a) vector scale diagram and (b) components. Compare your answers.

2. Relevant equations

a^2 + b^2 = c^2

c^2 = a^2 + b^2 -2abcosC

3. The attempt at a solution

Okay, well I managed to solve the vector scale diagram. Displacement ended up being 3.1 x 10^2 m. However, my problem is with the components method since my teacher didn't explain it at all, whatsoever. I've been looking through the text book trying to teach myself, and I get answers in the 300 range, but I don't know if I'm doing it correctly.

I set up my diagram like so: 96 m is head-to-tail with the 12 m, and I drew right angles for both starting from where they meet. I find the difference in the y's, and the x's, and then I substitute them in the Pythagorean Theorum (that's what they were doing in the book?) and I get approximately 87 m, and to that, I add the initial 214 m.

Any ideas as to where I'm going wrong? Any help issincerelyappreciated!

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# Homework Help: Determining displacement using components

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