In Δ XYZ, ∠X = 90°, YZ = 15 cm, and XZ = 12 cm. Then find Cos Y.

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SSC CGL 2022 Tier-I Official Paper (Held On : 07 Dec 2022 Shift 1)
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  1. 2/5
  2. 4/5
  3. 3/5
  4. 3/4

Answer (Detailed Solution Below)

Option 3 : 3/5
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Detailed Solution

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Given:

In Δ XYZ, ∠X = 90°, YZ = 15 cm, and XZ = 12 cm.

Formula used:

(Hypotenuse)2 = (Perpendicular)2 + (Height)2

Calculation:

F1 SSC Arbaz 14-06-2023 Himanshu D2

According to the formula, 

⇒ 152 = 122 + (XY)

⇒ (XY)2 = 225 - 144 = 81

⇒ XY = 9 cm

⇒ CosY = XY/YZ = 9/15 = 3/5

⇒ Hence, CosY is equal to 3/5

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