At noon, trevor and kim start running from the same point. trevor runs east at a speed of 5 mph and kim runs west at a speed of 3 mph. at what time will they be 12 miles apart?

They will be 12 miles apart a 2:30 pm, Trevor runs at a speed of 5 miles per hour, which they both start at noon which means, roughly in 12 miles it will be 2:30pm.  

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since the cosine is the ratio of the adjacent side to the hypotenuse, you can see that cos 60° = ½. answer. according to the property of cofunctions (topic 3), sin 30° is equal to cos 60°. sin 30° = ½.