Question

Hello may i know what is the length?a , b ,c or d?

Answer 1

33. Option A is correct

Explanations:

In order to get the measure of side BC, we need to determine the measure of first as shown:

`\begin{gathered} \angle A+\angle B+\angle C=180^0 \\ 93+\angle B+58=180 \\ \angle B=180-(93+58) \\ \angle B=180-151 \\ \angle B=29^0 \\ \end{gathered}`

Next is to determine the measure of BC using the sine rule as shown:

`\begin{gathered} (BC)/(sin\angle A)=(AC)/(sin\angle B) \\ (BC)/(sin93)=(16)/(sin29) \end{gathered}`

Cross multiply

`\begin{gathered} BC=(16sin93^0)/(sin29^0) \\ BC=(15.978)/(0.485) \\ BC\approx33 \end{gathered}`

Therefore the length of side BC is approximately 33.