Question

Solve for x in the triangle. Round your answer to the nearest tenth.

Answer 1

`x = 12.9`

Explanation:

Note:

The following is sin formula:

`\sin( \theta) = (opposite)/(hypotenuse)`

1) Using the sin formula

`sin(59) = (x)/(15)`

2) Multiply both sides by 15

`15 \sin(59) = (x)/(15) * 15`

3) Divide both sides by sin(59)

`(15 \sin(59) )/( \sin(59) ) = (x)/( \sin(59) )`

4) Find the value of x

`x = 15 \sin(59)`

`x = 12.9`