Answer:
82.4°
Step-by-step explanation:
The tangent of an angle is 7.5
Let angle be Ф
\(\tan\theta=7.5\)
It is trigonometry function tangent. The range of tangent is all real number.
The domain of tangent is \(-\dfrac{\pi}{2}\text{ to }\dfrac{\pi}{2}\)
Taking tan inverse
\(\theta=\tan^{-1}(7.5)\)
using calculator to find angle to the nearest tenth
\(\theta=82.4^\circ\)
Hence, The measure of angle is 82.4°