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

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SUMMARY

The discussion focuses on solving the equation 16.9038 = √(1470tanθ) to find the value of θ. The solution involves squaring both sides of the equation, dividing by 1470, and then applying the inverse tangent function. The final result is θ = 11 degrees, emphasizing the importance of specifying angle units, as numeric measures without units are typically interpreted as radians.

PREREQUISITES
  • Understanding of trigonometric functions, specifically tangent
  • Knowledge of inverse trigonometric functions
  • Familiarity with algebraic manipulation, including squaring equations
  • Basic understanding of angle measurement in degrees and radians
NEXT STEPS
  • Study the properties of trigonometric functions and their inverses
  • Learn about angle conversions between degrees and radians
  • Explore algebraic techniques for solving equations involving square roots
  • Practice solving similar trigonometric equations for different values
USEFUL FOR

Students studying trigonometry, educators teaching mathematical concepts, and anyone looking to improve their problem-solving skills in algebra and trigonometry.

chevymechanic
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Homework Statement



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

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.
 
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chevymechanic said:

Homework Statement



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

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.
 
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.
 

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