Question

Solve for x to the nearest degree (34.3 = 34)

Answer 1

48°

Explanation:

We can solve this using our knowledge on tangents of an angle. Remember, tangents are the opposite leg divided by the leg adjacent to that angle.

This means the tangent of x° =
`(10)/(9)`. Now that we know the tangent ratio, we can find the angle with inverse trigonometric ratios. These kinds of ratios give us the opposite of the tangent - which would lead to the angle measure we're looking for. The equation would look like this:

`x = arctan ((10)/(9))`

Using a calculator, the answer would be:

`x = 48.0128`

Rounding this to the nearest degree would give us 48° as our answer! I hope this was clear enough.