Find a value of \( \theta \) in the interval \( \left[0^{\circ}, 90^{\circ}\right] \) that satisfies the given statement. \( \begin{array}{l}\tan \theta=0.73531196 \\ \left(\text { Simplify your answer. Type an integer or a decimal. Round to six decimal places if needed.) }^{\circ}\right.\end{array} \)

To find the value of \( \theta \) that satisfies \( \tan \theta = 0.73531196 \), we use the inverse tangent function: \[ \theta = \tan^{-1}(0.73531196) \] Calculating this gives: \[ \theta \approx 36.041046^{\circ} \] Rounding to six decimal places, we have: \[ \theta \approx 36.041046^{\circ} \] So, the value of \( \theta \) in the interval \( \left[0^{\circ}, 90^{\circ}\right] \) that satisfies the equation is approximately \( 36.041046^{\circ} \).