Question

Right Triangle ABC is pictured below.Which equation gives the correct value for BC?Option 1: sin(32) = BC/8.2Option 2: cos(32) = BC/10.6Option 3: tan(58) = 8.2/BCOption 4: sin(58) = BC/10.6

Answer 1

Given the image, we are asked which equation gives the correct value for BC?

Step-by-step explanation

From the image;

`\begin{gathered} A+B+C=180 \\ 32+B+90=180 \\ B=180-90-32 \\ B=58^0 \end{gathered}`

Therefore,

`tan58^0=(opposite)/(Adjacent)=(8.2)/(BC)`

Answer: Option three