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If △DEF is a 30-60-90 triangle with m∠F = 90°, m∠E = 60°, and FE = 16, find the EXACT value of DE.
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f △DEF is a 30-60-90 triangle with m∠F = 90°, m∠E = 60°, and FE = 16, find the EXACT value of DF.
+36916 Tan 60 = sin 60 / cos 60 = sqrt3/2 / 1/2 = sqrt 3
16 tan 60 = DF = 16 sqrt 3
sin 60 = sqrt 3 / 2 = DF/DE
sqrt3 /2 = 16 sqrt3 / DE
DE = 16 sqrt3 / (sqrt3 /2) = 32
