The tangent of an angle is 7.5. What is the measure of the angle to the nearest tenth?

Verified Answer :

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

\(\tan\theta=7.5\)

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°