$\theta$ is an angle in a right-angled triangle.
\[
\tan \theta=\frac{23}{52}
\]
What is the value of $\theta$ ?
Give your answer in degrees to 1 d.p.

Answer

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Answer

Round the angle to 1 decimal place: $\boxed{23.9}$ degrees

Steps

Step 1 ：Given that $\tan \theta = \frac{23}{52}$

Step 2 ：Use the inverse tangent function (arctangent) to find the angle: $\theta = \arctan(\frac{23}{52})$

Step 3 ：Calculate the angle in radians: $\theta \approx 0.4164$ radians

Step 4 ：Convert the angle to degrees: $\theta \approx 23.8602$ degrees

Step 5 ：Round the angle to 1 decimal place: $\boxed{23.9}$ degrees