Question

How long is DE? Any help will be appreciated thank you

Answer 1

Answer: 4

Step-by-step explanation:

solve for the missing angle

the total degrees a triangle can have is 180 so

$180-90-60=30$

use law of sines to solve for x

$\frac{x}{sin30} =\frac{4\sqrt{3} }{sin60}$

cross multiply

$sin60*x=4\sqrt{3} sin30$

divide by $sin60$

$x=\frac{4\sqrt{3}sin30 }{sin60}$

type into calculator with (ALPHA Y= for a fraction on TI-84) MAKE SURE IT IS IN DEGREES