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Use trigonometric ratios to solve the right triangle.

Use trigonometric ratios to solve the right triangle.-example-1

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Answer:


DF=15, DE=5√(3)

Explanation:


sin(60)=(DF)/(EF) =(DF)/(10√(3) )\\DF=10√(3) sin(60)=10√(3) * (√(3) )/(2) =15\\cos(60)=(DE)/(EF) =(DE)/(10√(3) )\\DE=10√(3) cos(60)=10√(3) * (1 )/(2) =5√(3)

User Richard Nichols
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