Find the angle with a tangent ratio of 0.6009.

2 answers:

8 0

Answer:

31 degrees.

Step-by-step explanation:

Let the measure of angle be x degrees.

We have been given that an angle has a tangent ratio of 0.6009. We are asked to find the measure of angle.

We can represent this information in an equation as:

$\text{tan}(x)=0.6009$

We will use arctan to solve our given problem.

$x=\text{tan}^{-1}(0.6009)$

$x=31.001657802187^{\circ}\approx 31^{\circ}$

Therefore, the measure of angle is approximately 31 degrees.

ANEK [815]3 years ago

3 0

31.0016578 degrees :D

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zaharov [31]

The correct answer is 60⁰.

Step-by-step explanation:

An angle whose measure is 60⁰ is rotated more than halfway around a circle.
Since, we have to find the measure of angle.
As we already know that the angle of rotation about a circle is 360° therefore we have to find more than halfway of this angle.

Considering that an angle is rotated more than halfway around a circle be $\frac{1}{6}$

Multiplying $\frac{1}{6}$ with 360⁰
Therefore, it can show as $\frac{1}{6}$ ×360⁰
Which gives the result to be 60⁰
Hence, when an angle is measured 60⁰, it is rotating more than halfway around a circle.
A single rotation around a circle is equal to 360 degrees.
The measurement of an angle shows the magnitude and direction of the rotation of the angle from its initial position to the final position.
If the rotation is in a counterclockwise direction, it has an angle with positive measure. If the rotation is clockwise, it has an angle which gives negative measure.