Given circle EE with diameter start overline, C, D, end overline
CD
and radius start overline, E, A, end overline
EA
. start overline, A, B, end overline
AB
is tangent to EE at AA. If E, C, equals, 11EC=11 and E, A, equals, 11EA=11, solve for A, CAC. Round your answer to the nearest tenth if necessary. If the answer cannot be determined, click "Cannot be determined."
A
D
C
E
B
The ratio of the lengths of the tangent segments from an external point to a circle is equal to the square of the ratio of the lengths of the line segments that connect the point to the endpoints of the tangent segments.
Let x be the length of AB, then the length of EC will be x as well.
Using the given information,
11/EC = EA/EC
11/x = 11/x
1 = 1
Therefore, the value of angle CAC cannot be determined from the given information. The answer is "Cannot be determined."