Hello,
The first question:
So, the first question wants us to find a side "x" with a given angle & a side length
and It also gives us that:
x=7cot(39)
so 39 is the angle in (degrees)
well you might be questioning what is 7??
Let's first know cot
cot is co-tangent
We also know that cotangent= Adj/opposite
While tangent=Opposite/Adj
Let's first find cot(39)
cot(39)= Adj/opp = x/7
Well we want to solve for x
Since we know that Cot(39)=x/7
Therefore let's multiply both sides by 7
we conclude that:
7*Cot(39)=x
So let's look at triangles..
The correct triangle have the following just from the information we got:
1-the opposite side of the angle is =7
2-The adjacent is x
F. is the correct :)
you chose "E." You simply found tangent.
because tangent = opp/adj while cotangent=adj/opp
Second question:
Again we have:
4 cos 29
where 29 is the angle in (degrees)
and 4 is a side (We will know soon)
Well first let's know cosine
cos 29=adj/hyp
so let's find the adj side to cos 29
Well it must be "x" because cos(29)=x/4
so multiplying both sides by 4 we get that 4*cos(29)=x
So option E. Is correct. Also notice that X and 4 can't be the opposite side of the angle because cosine is adj/hyp
Hope that helped :) and good luck!