Question

I want to know how I can solve this question.

Answer 1

For the right triangle shown in the picture, recall the trigonometric identity of the cosine function:

`\cos (B)=(a)/(c)`

Isolate a from the equation:

`a=c\cdot\cos (B)`

Substitute for c=6.3 and B=43.8°:

`a=6.3\cos (43.8)`

Use a calculator to evaluate the expression:

`\begin{gathered} a=4.547089437\ldots \\ \approx4.6 \end{gathered}`