Question

Find the measure of each side of this triangles. Answer in exact form.​

Answer 1

`sin(0)=opposite/hypotenuse,cos(0)=adjacent/hypotenuse`

`sin(60)=(x)/(8√(5) ) ,\:\:cos(60)=(y)/(8√(5) )`

`(√(3) )/(2) =(x)/(8√(5) ) \:\:\:\:(1)/(2) =(y)/(8√(15) )`

`2x=8√(5) *√(3) \:\;\:\:2y=1*8√(15)`

`2x=(8√(15) )/(2) \:\:\:\:2y=8√(15)`

`x=8√(15) /2\:\:\: y=8√(15) /2`

`x=4√(15)`
`y=4√(15)`

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