Finding the tangent of angle E

Mathematics

2 answers:

Pavlova-9 [17]3 years ago

3 0

I don’t know but I need an answer

lozanna [386]3 years ago

3 0

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)"

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