Question

Which expression gives the value of QR?

a. 67 sin 80 degrees over sin 52 degrees
b. 67 sin 52 degrees over sin 80 degrees
c. 51 tan 52 degrees
d. 51 sin 80 degrees over cos 52 degrees

Answer 1

B

Explanation:

using the Sine Rule in Δ QRS

`(QR)/(sinS)` =
`(RS)/(sinQ)` ( substitute values )

`(QR)/(sin52)` =
`(67)/(sin80)` ( cross- multiply )

QR × sin80° = 67 × sin52° ( divide both sides by sin80° )

QR =
`(67sin52)/(sin80)`