Respuesta :
The tangent of an angel is 7.5. What is the measure of the angle to the nearest 10th?
The best answer to this question is approximately 82.4.
The best answer to this question is approximately 82.4.
Answer:
82.4°
Step-by-step explanation:
The tangent of an angle is 7.5
Let angle be Ф
[tex]\tan\theta=7.5[/tex]
It is trigonometry function tangent. The range of tangent is all real number.
The domain of tangent is [tex]-\dfrac{\pi}{2}\text{ to }\dfrac{\pi}{2}[/tex]
Taking tan inverse
[tex]\theta=\tan^{-1}(7.5)[/tex]
using calculator to find angle to the nearest tenth
[tex]\theta=82.4^\circ[/tex]
Hence, The measure of angle is 82.4°