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

`(sin (A))/(a) =(sin(B))/(b)`

`(sin(33.7))/(24) =(sin(119.9))/(b)`

`b =(sin(119.9)*24)/(sin(33.7))`

b = 37.4979

Round answer to two decimal places

b = 37.50