qurataz
qurataz qurataz
  • 23-05-2022
  • Mathematics
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If AB is tangent to (circle)C at A, find BC.

If AB is tangent to circleC at A find BC class=

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jimrgrant1 jimrgrant1
  • 23-05-2022

Answer:

BC = 24 in

Step-by-step explanation:

since AB is a tangent to the circle then ∠ BAC = 90°

using the sine ratio in the right triangle and the exact value

sin30° = [tex]\frac{1}{2}[/tex] , then

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{12}{BC}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

BC = 24

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