Question

The tangent of an angle is 3.4. what is the measure of the angle to the nearest tenth?

A) 52.9

B) 99.8

C) 73.6

D) 68.2

Answer 1

Option C is correct

the measure of the angle to the nearest tenth is, 73.6°

Explanation:

Let angle of measure in degree be A

As per the statement:

The tangent of an angle is 3.4.

⇒
`\tan A = 3.4`

Taking tan inverse both sides we have;

`A = \tan^(-1) (3.4)`

Simplify:

A= 73.61045967°

Therefore, the measure of the angle to the nearest tenth is, 73.6°

Answer 2

73.610 is the correct answer