Find the value of x. Round your answer to the nearest tenth.

Question

asked Dec 13, 2023 140k views

2 Answers

Dinigo · Answer 1 · 2023-12-16T23:43:15+0000

Answer:

c. 13.9

Explanation:

we can work out the third angle

all angles add up to 180

90 + 30 = 120, 180 - 120 = 60

using law of sines

$(x)/( \sin(a) ) = (b)/( \sin(b) )$

where sin(a) = 60, b = 30 and sin(b) = 30

$(x)/(sin(60)) = (8)/( \sin(30) )$

$x = (8)/(sin(30)) * \sin(60)$

x = 13.9