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sertanlavr [38]
2 years ago
15

Given: Circle O, AO=15, OK=5, and K is a point of tangency of AK. Find: measure of angle A

Mathematics
1 answer:
Inga [223]2 years ago
8 0

Applying the tangent theorem and trigonometry ratio, the measure of angle A is: 19.5°.

<h3>What is the Tangent Theorem?</h3>

The tangent theorem states that if a line is tangent to a circle, the point at which the radius is drawn to the point of tangency is a right angle.

Thus, consider triangle AKO as a right triangle.

Therefore,

  • angle A = reference angle
  • Ok = 5 (opposite)
  • AO = 15 (hypotenuse)

Using the trigonometry ratio, SOH, we have:

sin A = opp/hyp

sin A = 5/15

sin A = 0.3333

A = 19.5°

Therefore, applying the tangent theorem and trigonometry ratio, the measure of angle A is: 19.5°.

Learn more about tangent theorem on:

brainly.com/question/9892082

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