Sine is the ratio of Opposite / Hypotenuse:
sin(45°) = Opposite Hypotenuse
sin(45°) = 0.7071...
0.7071... is the ratio of the side lengths: in other words the Opposite is about 0.7071 times as long as the Hypotenuse.Maybe you can figure out the height now?
But let's do it formally using some algebra:
Start with:sin(45°) = Opposite Hypotenuse
Put in what we know:0.7071... = Opposite 20
Swap sides: Opposite 20 = 0.7071...
Multiply both sides by 20: Opposite = 0.7071... × 20
Calculate:Opposite = 14.14 (to 2 decimals)
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