Applying the Law of sines, the length of DE to the nearest tenth is: 27.8 inches.
What is the Law of Sines?
The Law of sines is given as: sin D/d = sin E/e = sin F/f.
Given:
m∠D = 44°
m∠E = 61°
m∠F = 180 - 61 - 44 = 75°
EF = d = 20 in.
DE = f = ?
Plug in the values into the formula for the Law of sines:
sin 44/20 = sin 75/DE
Cross multiply
DE = (sin 75 × 20)/sin 44
DE = 27.8 inches
Therefore, applying the Law of sines, the length of DE to the nearest tenth is: 27.8 inches.
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