Solving Square Root Equation: Step-by-Step Guide to Finding Theta

[chevymechanic]

Homework Statement

Hello. I'm trying to solve this equation: 16.9038=\sqrt{1470tan\theta}

Homework Equations

The Attempt at a Solution

I just need to know what theta is. It's been a while since I've calculated something like this and just need someone to show me the steps involved. I know theta is =11, just need to know how to get there. Thanks.

 

[Mark44]

Homework Statement

Hello. I'm trying to solve this equation: 16.9038=\sqrt{1470tan\theta}

Homework Equations

The Attempt at a Solution

I just need to know what theta is. It's been a while since I've calculated something like this and just need someone to show me the steps involved. I know theta is =11, just need to know how to get there. Thanks.

The most obvious thing to do is to square both sides of the equation.

I'm guessing that the answer you are given is in degrees. If so, you need to include that information in your answer. A numeric angle measure without units is usually considered to be in radians.

 

[chevymechanic]

Haha. DUH on my part! I figured it was something obvious. I just squared both, divided that by 1470, plugged that answer into the inverse tangent, and voila...11 degrees. Thanks. My mind just drew a blank on that one.