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Finding the tangent of angle E

Finding the tangent of angle E-example-1

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Answer:

tan(E) =
√(3\\)

Explanation:

Given: ED = 4
√(6) and CD = 6
√(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)"

User Kolbyjack
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I don’t know but I need an answer
User Sternze
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