Question

Need help to solve this step by step, this is what im learning in class but every time my teacher calls me to answer it on the board for the class i don’t know what to do so I tell him I can’t

Answer 1

Step-by-step explanation:

For this kind of triangle, we can use the Law of Sines to find the values of the sides. But first, we must determine the value of the third angle of the triangle. We must remember that the interior angles of a Triangle add up to 180°. So,

Angle A + Angle B + Angle C = 180

We plug in what we know.

72.4+Angle B+48.2=180

Simplify and rearrange

Angle B=180-72.4-48.2

Angle B= 59.4°

Now, to solve for the sides, we use the Law of Sines since the given triangle is not a right triangle. The Law of Sines is the relationship between the sides and angles of non-right (oblique) triangles. We can use the drawing below as a guide:

So, based on the given problem, we find the length of the side BC:

For AB:

Therefore, the length of AB is 22.2 ft while the length of BC is 28.3 ft.