Question

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

Answer 1

Answer:

b=204

Step-by-step explanation:

The law of sine states that: $\frac{SinA}{a} =\frac{SinB}{b} =\frac{SinC}{c}$

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 $\frac{Sin90^{o} }{270} =\frac{Sin49^o}{b}$, which we can use to solve for side b.

$\frac{Sin90^o}{270} =\frac{1}{270}$, so we know that $\frac{1}{270} =\frac{Sin49^o}{b}$.

Next, we would multiply both sides by b to get $\frac{1}{270}b=Sin49^o$.

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! :)