Question

Look at picture for accurate description and round your final answer to the nearest hundred as needed.

Answer 1

Start converting the minutes to degrees

`(43)/(60)\text{degrees}`

Then using the trigonometric functions

`\begin{gathered} \sin (38+(43)/(60))=(A)/(28.75) \\ \cos (38+(43)/(60))=(B)/(28.75) \end{gathered}`

solve both expressions for A and B

`\begin{gathered} A=28.75\cdot\sin (38+(43)/(60)) \\ B=28.75\cdot\cos (38+(43)/(60)) \end{gathered}`

then add both together to find the total length