Question

In PQR the measure of R=90 the measure of P=62 and RP=8.6 find the length of QR to the nearest tenth of a foot.

Answer 1

QR = 4.6 ft

Explanation:

By applying tangent rule in the given triangle PQR,

tan(62°) =
`\frac{\text{Opposite side}}{\text{Adjacent side}}`

=
`(8.6)/(QR)`

QR =
`\frac{8.6}{\text{tan}(62)}`

QR = 4.573

QR ≈ 4.6 ft