Question

Find the length of X

Answer 1

The answer is 27.

Explanation:

Your triangle has to equal up to 90 degrees right?

Well just take the numbers that are shown and add them up and find the right number that adds it all up to 90.

So,

38 + 25 + 27 = 90

Answer 2

Answer:
`x=15.4`

Explanation:

1. The triangle shown in the figure attached is a right triangle, because it has an angle that measures 90°.

2. You know the angle 38° and the lenght of the hypotenuse. Therefore, you can calculate the lenght x as following:

`sin\alpha=opposite/hypotenuse`

`\alpha=38\°\\opposite=x\\hypotenuse=25`

3. Substitute values and solve for x. Then, the length is:

`sin(38\°)=x/25\\x=25*sin(38\°)\\x=15.4`