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Juanita and Juanito started climbing from the same location at the same time. Juanito climbed to...

Juanita and Juanito started climbing from the same location at the same time. Juanito climbed to 4mph heading N35 ° E, and Juanita climbed 5mph heading N25 ° W. How far apart were they after 6 hours? Make a representative drawing of the situation.

Math   Precalculus   
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Answer #1

In one hour, Juanito climbed 4 miles and Juanita climbed 5 miles. Therefore, Juanito and Juanita will climb 24 miles and 30 miles respectively in 6 hours.

In triangle AOB,

OA = 24 miles

OB = 30 miles

Using Cosine rule,

After 6 hours, Juanito and Juanita are 27.5 miles apart.

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