aleidam2022
Answered

Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

In ΔABC, a = 640 inches, b = 180 inches and ∠C=7°. Find ∠B, to the nearest degree.

Sagot :

let's first find the side "c", Check the picture below.

now, let's use that value with the law of sines.

[tex]\textit{Law of sines} \\\\ \cfrac{sin(\measuredangle A)}{a}=\cfrac{sin(\measuredangle B)}{b}=\cfrac{sin(\measuredangle C)}{c} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{sin(\measuredangle C)}{c}=\cfrac{sin(\measuredangle B)}{b}\implies \cfrac{sin(7^o)}{461.86}=\cfrac{sin(B)}{180}\implies \cfrac{180sin(7^0)}{461.86}=sin(B) \\\\\\ sin^{-1}\left[ \cfrac{180sin(7^0)}{461.86} \right]= \measuredangle B\implies 2.72^o\approx \measuredangle B\implies \stackrel{\textit{rounded up}}{3^o\approx \measuredangle B}[/tex]

View image jdoe0001
Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.