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. 

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°

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