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

Question

asked Sep 10, 2022 34.3k views

1 Answer

Simon Briggs · Answer 1 · 2022-09-15T01:24:46+0000

Answer:

25.5

Explanation:

first find angle E.

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

E = 180 - 90 - 20 = 70 degrees

now we use the law of sines.

ED/sin(20) = DC/sin(70) = EC/sin(D)

EC = x

sin(D) = sin(90) = 1

24/sin(70) = x/1 = x

x = 25.5