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I’ve already answered Part A. Part B & C have the same drop down answers choices.

I’ve already answered Part A. Part B & C have the same drop down answers choices-example-1
User Jaquez
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Given


\begin{gathered} \tan (12)=(x)/(6) \\ \tan (78)=(6)/(x) \end{gathered}

To check whether the value of x is found using both equation:

It is known that,


\tan \theta=\frac{oppositeside}{\text{adjacent side}}

From the given figure, it is clear that the angles of the triangle ABC,


\begin{gathered} \angle A=90,\angle C=12 \\ \angle B=180-(\angle A+\angle C) \\ =180-(90+12) \\ =78 \end{gathered}

Therefore for the angle C=12 degree,

The equation can be written as,


\tan \theta=(x)/(6)

Since x is the opposite side and 6 is the adjacent side.

However for angle B. the opposite side will be 6 and the adjacent side will be x.

Thus, we get


\tan \theta=(6)/(x)

Hence, Andre and Mia both are correct.

User Phluks
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