Examine the diagram, where AB←→ is secant to the circle at points A and B, and CD←→ is secant to the circle at points C and D. T
he lines intersect inside the circle at point P, which is not the center.
A circle with no center shown and two secants as described in the text. Segment B P equals 6, segment C P equals 7, and segment D P equals 12.
What is the length of AP¯¯¯¯¯¯¯¯?
Enter the correct value.
A circle with no center shown and two secants as described in the text. Segment B P equals 6, segment C P equals 7, and segment D P equals 12.
What is the length of AP¯¯¯¯¯¯¯¯?
Enter the correct value.
1 answer:
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Answer:
Approximatley 5.8 units.
Step-by-step explanation:
We are given two angles, ∠S and ∠T, and the side opposite to ∠T. We need to find the unknown side opposite to ∠S. Therefore, we can use the Law of Sines. The Law of Sines states that:
Replacing them with the respective variables, we have:
Plug in what we know. 20° for ∠S, 17° for ∠T, and 5 for <em>t</em>. Ignore the third term:
Solve for <em>s</em>, the unknown side. Cross multiply:
Answer:
Step-by-step explanation:
Solving for given the equation,
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Solving for when