Question

Finding the tangent of angle E

Answer 1

I don’t know but I need an answer

Answer 2

Answer:

tan(E) =$\sqrt{3\\}$

Step-by-step explanation:

Given: ED = 4$\sqrt{6}$   and   CD = 6$\sqrt{2\\}$

Step 1 : Find CE

ED² = CE² + CD²

(4√6)² = (CE)² + (6√2)²

96 = CE² + 72

24 = CE²

CE = 2√6

Step 2 : Find ∠E using side lengths

Based on our leg lengths : 6√2   &   2√6 , we can conclude that this is a

30-60-90 triangle (the sqaures are opposites yk)

Because 6√2 is the larger leg, and ∠E is opp side of CD,

∠E = 60

From there all you do is find the tangent with a calculator "tan(60)"