This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Step 1: Isolate the angle by taking the inverse tangent. We are given the equation: To find the angle , we take the inverse tangent (arctan) of both sides:
Step 2: Calculate the value of . Using a calculator, we find: So,
Step 3: Solve for . Subtract from both sides:
Step 4: Round the answer to one decimal place. This value is within the given range .
The final answer is . Last free one today — make it count tomorrow, or type /upgrade for unlimited.
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Isolate the angle by taking the inverse tangent. We are given the equation: ( + 25^) = 5.145 To find the angle ( + 25^), we take the inverse tangent (arctan) of both sides: + 25^ = (5.145) Step 2: Calculate the value of (5.145).
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.