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

Question

asked Mar 19, 2023 65.8k views

1 Answer

Shaochuancs · Answer 1 · 2023-03-24T07:04:42+0000

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

$\begin{gathered} 28.75\cdot\sin (38+(43)/(60))+28.75\cdot\cos (38+(43)/(60))\approx40.41\operatorname{cm} \\ \end{gathered}$