Question

Hi I need help with this problem I need the salt for the distance for AC ADBDBCCDABRounded to the nearest hundredthI also need to know the steps of how to get those numbers

Answer 1

1) Let's begin by solving for the measures of the minor triangle

`\Delta CDE`

2) Let's use the Law of Sines to find CD, let's convert the measurements into decimal ones to better work:

`\begin{gathered} (CD)/(\sin(60.1025))=(470.43)/(\sin(97.295)) \\ CD\approx411.15 \end{gathered}`

Let's find the angle D with the Triangle Sum Theorem:

`60.1025+97.295+\angle D=180,\Rightarrow\angle D=22.6025^(\circ)`

3) Looking back at the graph, we can find BC by finding the angle opposite to this side:

`87^(\circ)20^(\prime)24^(\prime)^(\prime)=87°+20^(\prime)/60+24`

Triangle sum theorem to help us find the angle opposite to BC: