Question

What is the value of x in this triangle?

Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.

x =____°

Answer 1

ANSWER


`x = 14.04 \degree`

EXPLANATION

The given triangle is a right triangle.

We know the side length opposite to the angle x to be 5 units and the side length adjacent to angle x is 20 units.

We use the tangent ratio to find the angle x.

`\tan(x \degree) = (Opposite)/(Adjacent)`



`\tan(x \degree) = (5)/(20)`


`\tan(x \degree) = (1)/(4)`

Take the sine inverse of both sides to get,


`x \degree = \tan^( - 1)( (1)/(4) )`


`x = 14.04 \degree`

to the nearest hundredth.

Answer 2

Answer:
`x=14.04\°`

Explanation:

Given the right triangle of the figure, you can calculate the measure of the angle represented with "x", by using arcotangent (which is the inverse function of the tangent of an angle).

Then:

`\alpha=arctan((opposite)/(adjacent))`

Substitute the opposite side and the adjacent side of the triangle in the figure.

Therefore, the measure of the angle "x" to the nearest hundreth is:

`x=arctan((5)/(20))\\x=14.04\°`