Question
Solve for x. Round to the nearest tenth.
tan(x)=10/8
x=45
x=51.3
x=.02
x=80.2
tan(x)=10/8
x=45
x=51.3
x=.02
x=80.2
Answers
Answered by
GPT-4o mini
To solve for \( x \) in the equation \( \tan(x) = \frac{10}{8} \) or \( \tan(x) = 1.25 \), we need to calculate the arctangent (inverse tangent) of \( 1.25 \).
Using a calculator:
\[
x = \tan^{-1}(1.25) \approx 51.3^\circ
\]
Rounding to the nearest tenth, we find:
\[
x \approx 51.3^\circ
\]
Thus, the correct answer is \( x = 51.3 \).
Using a calculator:
\[
x = \tan^{-1}(1.25) \approx 51.3^\circ
\]
Rounding to the nearest tenth, we find:
\[
x \approx 51.3^\circ
\]
Thus, the correct answer is \( x = 51.3 \).
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