Question

QUICK, Help PLEASE! NEEDED FAST! 20 POINTS!

In this triangle, what is the value of x?

Enter your answer, rounded to the nearest tenth, in the box.

Answer 1

Since you have the side opposite of x and the hypotenuse, and

`\sin(x) = (opposite)/(hypotenuse)`
you have


`\sin(x) = (66)/(79)`
Now solve for x.

`x = \arcsin( (66)/(79) )`
Another way to write arcsin() is

`\sin^( - 1) ()`
In either case, plug that into your calculator and you'll find that

`x = 56.7 ^(o)`
Make sure your calculator is in degree mode and not radian mode.