Question

Consider this right triangle. R 9 55° Q P Enter the length of RQ, to the nearest tenth.​

Answer 1

RQ = 7.4

Explanation:

From the right triangle PQR,

m∠Q = 90°

m∠P = 55°

Hypotenuse PR = 9

By applying sine rule in the given triangle,

Sin(55°) =
`\frac{\text{Opposite side}}{\text{Hypotenuse}}`

0.819152 =
`\frac{\text{RQ}}{\text{PR}}`

0.819152 =
`(RQ)/(9)`

RQ = 9×0.819152

RQ = 7.37

≈ 7.4