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11 votes
11 votes
Help the question is on the image.​

Help the question is on the image.​-example-1
User Djunforgetable
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1 Answer

16 votes
16 votes

Answer:


\boxed {tan\theta = (2)/(3)}

Explanation:

Let's derive a formula :

⇒ Area (triangle) × 3 = Area (square)

⇒ 1/2(bh) × 3 = a²

∴ But a = h (shown in diagram)

⇒ 3/2(bh) = h²

h = 3b/2

Now, taking tan θ :

⇒ tan θ = b/h

⇒ tan θ = b/(3b/2)

⇒ tan θ = 2b/3b

tan θ = 2/3

User Larce
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3.1k points