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I have heard about the rule of cosine, and other related rules, that someone said I may need to use in problems like this. I have never been exposed to these rules before, so I don't much know anything about them.

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What tool am I supposed to use to be able to solve these type of questions? This seems really hard and time consuming for me, am I missing bits of knowledge that I supposed to know?

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  • $\begingroup$ Applying the cosine ratio to a right-angled triangle is different from the rule of cosine. For this question, you only need the former. $\endgroup$
    – Mick
    Jun 18, 2014 at 9:25

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\begin{align} \cos \alpha &= 52/61.3 \\ \alpha &= \arccos(52/61.3) \\ & \\ \cos \beta &= 52/74.5 \\ \beta &= \arccos(52/74.5) \end{align}

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  • $\begingroup$ how...did i not see that $\endgroup$
    – Matahatma
    Jun 18, 2014 at 9:12

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