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Find tan R and tan S. Write each answer as a fraction and as a decimal. Round to four decimal places, if necessary.

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Final answer:

To find tan R and tan S, divide the respective y-values by the x-values. tan R = yv / xv = 0.815 m, and tan S = yv / xu = 4.000 m.

Step-by-step explanation:

To find tan R and tan S, we need to use the given trigonometric identities. From the information provided, we can see that tan 0 = y/x. So we can solve for tan R and tan S by dividing the respective y-values by the x-values. Let's use the given values to calculate:

tan R = yv / xv = (2.00 m)(tan 22.33°) = 0.815 m

tan S = yv / xu = (2.00 m)(tan 66.76°) = 4.000 m

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