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16 March, 06:41

In ΔPQR, the measure of ∠R=90°, the measure of ∠Q=48°, and QR = 61 feet. Find the length of RP to the nearest tenth of a foot.

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  1. 16 March, 07:09
    0
    67.7

    Step-by-step explanation:

    SOH-CAH-TOA

    opposite



    =

    61

    x



    tan⁡48=x61/tan 48=/frac{x}{61}

    tan48=

    61

    x



    61tan⁡48=x61/tan 48=x

    61tan48=x

    Cross multiply.

    x=67.7474≈67.7 feetx=67.7474/approx / mathbf{67.7}/text{ feet}

    x=67.7474≈67.7 feet
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