If Delta ABC is right angled at B AB 30 and ang ACB 60 deg then what is the value of AC ........

Quantitative Aptitude (CPO) Geometry

If ΔABC is right angled at B, AB = 30 and ∠ACB = 60°, then what is the value of AC?

20√3

- In triangle ?ABC, angle B is 90°, meaning it's a right triangle.

- Given: AB = 30, and angle ?ACB = 60°.

- Since ?ACB = 60°, angle ?CAB = 30° due to the triangle's total angle of 180°.

- In a 30°-60°-90° triangle, the side ratios are 1:v3:2.

- Here, AB (opposite 60°) = 30, aligning with the v3 ratio.

- To find side AC (hypotenuse), apply the ratio: AC = 2 * (AB/v3).

- Calculation: AC = 2 * (30/v3) = 60/v3 = 20v3.

- Correct Answer: Option 2: 20v3

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