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.

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