3 years ago

Geometry Help!

Mathematics

2 answers:

oksian1 [2.3K]3 years ago

8 0

Answer:

Step-by-step explanation:

Use the Law of Sines

FE/sin38=18/sin90

FE=18sin38=11.08

DF/sin52=18/sin90

DF=18sin52=14.2

tatuchka [14]3 years ago

3 0

Answer:

FE = 11.08, DF = 14.18

Step-by-step explanation:

Use trigonometric ratios:

sin = opposite / hypotenuse
cos = adjacent / hypotenuse

Apply to the given triangle

Side FE

FE / DE = sin 38° (or cos 52°, the value is same)
FE / 18 = sin 38°
FE = 18 sin 38°
FE = 11.08

Side DE

DF / DE = sin 52° (or cos 38°, the value is same)
DF / 18 = sin 52°
DF = 18 sin 52°
DF = 14.18

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