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Question
Find the length of EC.
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Solution
CD = 28cm
⇒ AB = 28cm
In right ΔABE,
tan30° = `"BE"/"AB"`
⇒ `(1)/sqrt(3) = "BE"/(28)`
⇒ BE = `(28)/sqrt(3)`
In right ΔABC,
tan60° = `"CB"/"AB"`
⇒ `sqrt(3) = "CB"/(28)`
⇒ CB = `28sqrt(3)`
∴ Length of EC
= CB + BE
= `28sqrt(3) + (28)/sqrt(3)`
= `(84 + 28)/sqrt(3)`
= `(112)/sqrt(3)`.
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