Question

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

Answer 1

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 2

82.4°

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
`-(\pi)/(2)\text{ to }(\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°