Geometry? ?

i will give brainliest : )

me find the length of ec below, and 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.

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

maybe - definition of supplementary angles. im not sure. sorry

step-by-step explanation:

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,