Find the function value. Round to four decimal places. \( \tan 64.7^{\circ} \) \( \boldsymbol{\operatorname { t a n }} 64.7^{\circ} \approx \square \) (Round to four decimal places as needed.)
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The value of \( \tan 64.7^{\circ} \) is approximately \( 2.0503 \). This means that if you took a right triangle where one angle is \( 64.7^{\circ} \), the ratio of the opposite side to the adjacent side would be about \( 2.0503 \). Fun fact: angles are often used in navigation and engineering to calculate slopes and trajectories! If you're working with a calculator to find this value, make sure it is set to degrees, not radians! A common mistake is forgetting to adjust the mode, which leads to incorrect outputs. Just double-check your settings, and you'll be good to go!