Question

Help me please PRECALCULUS correct answers only please

Answer 1

In triangle ABC, two angles angle A  and C  are already given

Angle A =33.7

Angle C = 26.4

We know that the sum of angles in a triangle is 180 degree

Angle A + B + C = 180

33.7 + angle B + 26.4 = 180

60.1 + angle B = 180

Angle B = 119.9 degrees

Now we use sin angle formula to find b. Given a=24

$\frac{sin (A)}{a} =\frac{sin(B)}{b}$

$\frac{sin(33.7)}{24} =\frac{sin(119.9)}{b}$

$b =\frac{sin(119.9)*24}{sin(33.7)}$

b = 37.4979

Round answer to two decimal places

b = 37.50