Which is the degree measure of an angle whose tangent is 5.67?

1 answer

The inverse tangent (also known as arctangent) function can be used to find the degree measure of an angle whose tangent is known. In this case, we have:

tan(x) = 5.67

Taking the inverse tangent of both sides:

x = arctan(5.67)

Using a calculator to evaluate this expression, we get:

x ≈ 80.03 degrees

Therefore, the degree measure of the angle whose tangent is 5.67 is approximately 80.03 degrees.