+9479 175/x = tan30°
Multiply both sides by x
175 = xtan30°
Divide both sides by tan30°
175/tan30° = x
You can simply plug this into a calculator and get that x ≈ 303.109
You can stop there, but if you want to you can also look at a unit circle to find the exact value of tan30º.
tan30° = sin30°/cos30°
tan30° = \(\frac{1}{2}/\frac{\sqrt{3}}{2}\)
tan30° = \(\frac{1}{2}*\frac{2}{\sqrt{3}}\)
tan30°= \(\frac{2}{2\sqrt{3}}\)
tan30°= \(\frac{1}{\sqrt{3}}=\frac{\sqrt{3}}{3}\)
so
x = \(175/\frac{1}{\sqrt{3}}\)
x = \(175*\frac{\sqrt{3}}{1}\)
x = \(175\sqrt{3}\)
-------------------------------------------------
tan(x) = 1/12
Here, all you need to do is take the arctangent of both sides.
x = arctan(1/12)
Just plug this into a calculator and you get that x ≈ 4.764°
