Question

Find the value of x. Round the length to the nearest tenth. The diagram is not drawn to scale. Show your work.

Answer 1

1. You have:

 Sin(α)=Opposite/Hypotenuse

 α=10°
 Opposite=500 m
 Hypotenuse=x

 2. When you substitute these values into Sin(α)=Opposite/Hypotenuse, you obtain:

 Sin(α)=Opposite/Hypotenuse
 Sin(10°)=500/x

 3. Now, you must clear "x":

 x(Sin(10°))=500
 x=500/Sin(10°)

 4. Then, the value of "x" is:

 x=2879.4 m