Question

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In a triangle XYZ right angle is at Y , YZ = x and XZ = 2x.Then determine angle YXZ and angle YZX.....

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Answer 1

Answer:

∠YXZ = 30°

∠YZX = 60°

Step-by-step explanation:

Given In ΔXYZ, right angle at Y, YZ = x and XZ = 2x.

(i)

We know that sinθ = Opp/Hyp.

⇒ Sinx = ZY/ZX

⇒ Sinx = x/2x

⇒ Sinx = 1/2

⇒ Sinx = 30°

⇒ x = 30°

∠YXZ = 30°

(ii)

We know that cosθ = Adj/Hyp.

⇒ cosz = x/2x

⇒ cosz = 1/2

⇒ cosz =cos 60°

⇒ z = 60°

∠YZX = 60°

Hope it helps!

Answer 2

Hope that answer help you dear