Question

Geometry Help!

Please only answer if you know the answer. Look at the image below to answer the question.

Be sure to show all of your work and explain your thinking.

I posted 3 of these, so if you understand it, please go and check them out.

If you do not know the answer use the comment section, don't answer my question with a comment. Thanks, Good Luck!

Answer 1

Explanation:

Use the Law of Sines

FE/sin38=18/sin90

FE=18sin38=11.08

DF/sin52=18/sin90

DF=18sin52=14.2

Answer 2

• FE = 11.08, DF = 14.18

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