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How to solve this question

How to solve this question-example-1
User Brian Schermerhorn
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1 Answer

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22 votes

Explanation:

I guess the question is to find the value for a.

as the picture shows correctly a is also the side of the assumed triangle at the left side.

the law of sin says that

a/sin(60) = 10×sqrt(3)/sin(90) = 10×sqrt(3)

a = 10×sqrt(3)×sin(60) = 10×sqrt(3)×sqrt(1² - cos(60)²) =

= 10×sqrt(3)×sqrt(1² - (0.5)²) = 10×sqrt(3)×sqrt(1 - (1/2)²) =

= 10×sqrt(3)×sqrt(1-1/4) = 10×sqrt(3)×sqrt(3/4) =

= 10×sqrt(3×3/4) = 10×sqrt(9/4) = 10×3/2 = 30/2 = 15

User HammerNL
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