Find the value of x. Round your answer to the nearest tenth.
![Find the value of x Round your answer to the nearest tenth class=](https://us-static.z-dn.net/files/d9f/05c95c5cf7901f56c67155fb0a9f2a6f.jpg)
Answer:
c. 13.9
Step-by-step explanation:
we can work out the third angle
all angles add up to 180
90 + 30 = 120, 180 - 120 = 60
using law of sines
[tex] \frac{x}{ \sin(a) } = \frac{b}{ \sin(b) } [/tex]
where sin(a) = 60, b = 30 and sin(b) = 30
[tex] \frac{x}{sin(60)} = \frac{8}{ \sin(30) } [/tex]
[tex]x = \frac{8}{sin(30)} \times \sin(60) [/tex]
x = 13.9