Question

answer the question ​

Answer 1

[PLEASE SEE THE ATTACHED DIAGRAM TO UNDERSTAND THE SOLUTION]

Step-by-step explanation:

Given:

• AB & AC are the two tangents.
• <BAC = 60°
• OA = 12

Required to Find:

• Measure of OB

Solution:

Since < BAC = 60°,

Therefore,<BAO = 60/2 = 30°

Now,

In ∆ OBC

• <OBA = 90°,
• <OAB = 30°,
• OA = 12 (hypotenuse)

Therefore,

sinA = perpendicular/hypotenuse

=> sin 30° = OB/OA

=>1/2 = OB/12

=> OB = 12/2

=>OB = 6

THEREFORE, MEASURE OF OB = 6

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