Question

Find x.Round to the nearest tenth:29°500 ftyхx = [ ? ]ft=

Answer 1

`x\approx437.3`

1) In this problem, we can find the leg by first finding the interior upper angle of that triangle.

2) Note that we can sketch this out and find the missing angle:

We can see that that upper angle is complementary.

So now, let's use a trig ratio so that we can find the opposite leg to angle 61º:

`\begin{gathered} \sin (61^(\circ))=(x)/(500^(\square)) \\ x=500\cdot\sin (61^(\circ)) \\ x\approx437.3 \end{gathered}`

Thus this is the answer