Question

Find x. Use law of sine. Round to the nearest tenth.

Answer 1

9.5

Explanation:

Law of sine:

`(SideXY)/(sinZ^(o)) = (SideZY)/(sinX^(o)) = (SideXZ)/(sinY^(o))`

Sum of interior angles = 180°:
∴∠Z° = 180° - 63° - 41°

∠Z° = 76°

∴
`(14)/(sin76^(o))`=
`(x)/(sin41^(o))`

Cross- multiplication is applied:

(x)(sin76°) = (14)(sin41°)

x has to be isolated and made the subject of the equation:

x =
`([(14)(sin41^(o))])/(sin76^(o))`

x = 9.466

x = 9.5 (Rounded to the nearest tenth)