175/x = tan30° x = ?




tan(x) = 1/12

Guest Feb 10, 2017
edited by Guest  Feb 10, 2017

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°= \(\frac{1}{\sqrt{3}}=\frac{\sqrt{3}}{3}\)



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°

hectictar  Feb 11, 2017
edited by hectictar  Feb 11, 2017

23 Online Users


New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.