Angle bcd is a circumscribed angle of circle a. a 37what is the length of line segment ac? o 10 unitso 12 units14 unitso 16 units

Answer

10 units

Explanation

There are two ways of solving this question

1)

AC is a tangent and it is perpendicular to the radius OB.  This make a    right triangle ABC.

Using Pythagoras theorem;

(AC)² = 8² + 6²

          = 64 + 36

          = 100

AC = √100 = 10

2)

ADC is a right triangle. Using the trigonometric ratios;

cos 37 = 8/AC

AC = 8/cos37

       = 8/0.7986

        = 10.0

2x^2+5x+17

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