In the right triangle △ABC shown below, the length of 𝐵𝐶― is 12 feet and sin A = 34. What is the length, in feet, of 𝐴𝐶― ?
Question
In the right triangle △ABC shown below, the length of 𝐵𝐶― is 12 feet and sin A = 34. What is the length, in feet, of 𝐴𝐶― ?
Solution
The question seems to be missing some information. The sine of an angle (sin A in this case) should be a value between -1 and 1. However, you've mentioned that sin A = 34, which is not possible.
Assuming there's a mistake and sin A is actually a value between -1 and 1, you can use the definition of sine in a right triangle to find the length of AC. The sine of an angle in a right triangle is defined as the length of the opposite side (BC in this case) divided by the length of the hypotenuse (AC in this case).
So, if sin A = BC/AC, then AC = BC/sin A.
Please provide the correct value of sin A so that I can provide the correct length of AC.
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