Question

SOMEONE HELP ME LOL IM SO OVERWHELMED

Answer 1

1)
`(12.2)/(sin(54))` which rounds to 15.1

2)
`(12.2)/(cos(54))` which rounds to 20.8

Explanation:

1) We're going to have to use the trig ratios for this. We know that sin(x) =
`(opposite)/(hypotenuse)` (opposite side over the hypotenuse). In this case, we know that angle h = 54 and the side opposite to angle h = 12.2, and we're trying to find the hypotenuse. If we label the hypotenuse as x, then we can say that sin(H) =
`(MI)/(HI)`. We can plug in the values we know to get sin(54) =
`(12.2)/(x)`. From there, we multiply by x on both sides to get x out of the denominator, and then we divide by sin(54). So, we end up with x =
`(12.2)/(sin(54))` which, if you put it in your calculator (and make sure the calculator is in degree mode) we get approximately 15.1 mi.

2) Follow the same steps that are described in 1), but instead of sin, we're using cos.

Hope this helps! Let me know if you have any further questions!