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Question
Find the value 'x', if:
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Solution
In right ΔACB,
tan30° = `"BC"/"AC"`
⇒ `(1)/sqrt(3) = (10)/"AC"`
⇒ AC = `10sqrt(3)"cm"`
Now,
In right ΔACD,
sin x = `"AC"/"AD"`
⇒ sin x = `(10sqrt(3))/(20)`
⇒ sin x = `sqrt(3)/(2)`
⇒ sin x = sin60°
⇒ x = 60°.
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