Question

Calculation (show your work)​

Answer 1

`\large\boxed{x\approx50.77}`

Explanation:

`\text{Look at the picture.}\\\\\sin80^o\approx0.9848\\\\\text{Substitute it the the equation}\ \sin80^o=(50)/(x):\\\\0.9848=(50)/(x)\\\\(9848)/(10000)=(50)/(x)\qquad\text{cross multiply}\\\\9848x=(10000)(50)\\\\9848x=500000\qquad\text{divide both sides by 9848}\\\\x\approx50.77`

Answer 2

x ≈ 50.8

Explanation:

Given

sin80° =
`(50)/(x)`

Multiply both sides by x

x × sin80° = 50 ( divide both sides by sin80° )

x =
`(50)/(sin80)` ≈ 50.8 ( to 1 dec. place )