Question

PLS HELP ASAP find the measure of side b. round to the nearest whole number

Answer 1

b=204

Explanation:

The law of sine states that:
`(SinA)/(a) =(SinB)/(b) =(SinC)/(c)`

We know that a triangle has 180° total, so we can subtract the two angle measures we know to find the third angle:
`180-90-41=49`°.

Using these two things, we can come up with the equality
`(Sin90^(o) )/(270) =(Sin49^o)/(b)`, which we can use to solve for side b.

`(Sin90^o)/(270) =(1)/(270)`, so we know that
`(1)/(270) =(Sin49^o)/(b)`.

Next, we would multiply both sides by b to get
`(1)/(270)b=Sin49^o`.

Sin49°≈0.75471, so to find b we would multiply 0.75471×270=203.77

Since the problem asks us to round to the nearest whole number, b=204

Hope this helps! :)