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

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.

To find the degree measure of an angle whose tangent is 5.67, you can use the inverse tangent function or arctan function.

arctan(5.67) = 80.14 degrees

Therefore, the degree measure of the angle whose tangent is 5.67 is approximately 80.14 degrees.

To find the degree measure of an angle whose tangent is 5.67, you can use the inverse tangent function (also known as arctan or atan). The inverse tangent function will give you the angle whose tangent is the given value. Here's how you can solve it:

1. Use a calculator that has the inverse tangent function (most scientific calculators have it).
2. Press the inverse tangent button, usually labeled as "tan⁻¹" or "atan".
3. Enter the tangent value, in this case, 5.67.
4. Press the "equals" button (=) to get the result.

The calculator should display the angle measure in radians. However, if you need the answer in degrees, you can convert it using the fact that π radians are equal to 180 degrees.

So, using the inverse tangent function with a tangent value of 5.67, you can determine the angle measure in degrees.