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Solve for x. Round to the nearest tenth, if necessary.

Solve for x. Round to the nearest tenth, if necessary.-example-1
User Kat
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1 Answer

4 votes

Answer:

11.3

Explanation:

first we find angle F.

remember, all angles in a triangle always sum up to 180 degrees.

so,

F = 180 - 90 - 61 = 29 degrees

now we use the law of sines.

EF/sin(D) = ED/sin(F) = DF/sin(E)

DF = x

sin(E) = sin(90) = 1

5.5/sin(29) = x/1 = x

x = 11.3

User Ado Ren
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