5.6k views
5 votes
Can u tell me the answer to this question please

Can u tell me the answer to this question please-example-1
User Kimarley
by
4.1k points

1 Answer

2 votes
Answer:

a is approximately 28 inches

Step-by-step explanation:

Given a = ?, A = ?, b = 68, B = 65 degrees, C = 93 degrees

Since the sum of angles in a triangle is 180 degrees, we have

A = 180 - (93 + 65)

= 180 - 158

= 22 degrees

We have:


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

The above is called the Sine Rule.

Substituting the given parameters, we have:


\begin{gathered} (a)/(\sin 22)=(68)/(\sin 65) \\ \\ a=(68)/(\sin65)*\sin 22 \\ \\ =28 \end{gathered}

a is approximately 28 inches

User Cecilia Chan
by
4.1k points