Question

Round your answer to the nearest hundredth.

Answer 1

2.30

Explanation:

Though there are a couple of ways of solving this, my personal preference is by using the law of sines

The law of sines says the ratios of the sides of a triangle to the sine of the angles opposite them must be equal

Applying this law to the given triangle we get

`(BC)/(\sin50) = (3)/(\sin 90)\\\\\sin 90 = 1\\\\\rightarrow (BC)/(\sin50) = (3)/(1)\\\\BC = 3 * \sin 50\\\\= 3 * 0.766\\\\= 2.298\\\\= 2.30 \textrm{ rounded to the nearest hundredth}`

Answer 2

BC: cos50=BC/3

cos50 • 3 = BC