Answer:
see explanation
Step-by-step explanation:
Use the sine ratio in the right triangle to find the hypotenuse h, and the exact value
sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{20}{h}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
h = 20[tex]\sqrt{2}[/tex]
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Use the tangent ratio to find the horizontal leg x and tan45° = 1 , then
tan45° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{20}{x}[/tex] = 1 ( multiply both sides by x )
x = 20
