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Question
Find the length of AB.
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Solution
From right triangle = ADE
tan 45° = `"AE"/"DE"`
1 = `"AE"/(30)`
AE = 30 cm
Also, from triangle DBE
tan 60° = `"BE"/"DE"`
`sqrt(3) = "BE"/(30)`
BE = `30sqrt(3) "cm"`
BE = `30xx1.732/1000`
BE = `5196/100`
BE = 51.96
Therefore AB = AE + BE
= 30 + 51.96
= 81.96 cm
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