Question

geometry??

I will give Brainliest :)

Please help me find the length of EC below, and please explain thoroughly. You can round your final answer if you wish.

Additional info:

DE is parallel to AC.

Angle C is 60°.

Angle A and Angle BDE are both right angles.

Triangle ABC is similar to Triangle DBE.

Answer 1

Answer:the length of EC is 6ft

Step-by-step explanation:

Since angle BDE is a right angle, looking at right triangle DBE, we would determine the length of BE by applying trigonometric ratio. It is expressed as follows

Sin# = opposite/hypotenuse

# = 30 degrees

Opposite =3 ft

Hypotenuse = BE

Therefore,

Sin 30 = 3/BE

BESin30 = 3

BE = 3/Sin30 = 3/0.5= 6 ft

Also,

Total length of BC = BE + EC

Therefore

12 = 6 + EC

EC = 12 - 6 = 6ft