Question

Please help i dont understand it

given: m∠p=72°, m∠s = 36° and rm=16. find op

Answer 1

Answer: 14.31

Step-by-step explanation:

Using Law of Sines, we know that

`(16)/(sin(72)) =(PR)/(sin(90))`

Thus,
`PR=16.8233955878`

Then, using
`(\alpha )/(sin(\alpha)) =2R`,

we know that
`(16.8233955878)/(sin(s)) =(16.8233955878)/(sin(36)) =28.621670112 = 2R`

Therefore,
`R = 14.310735056`

Answer 2

Without additional context or a diagram, it is not possible to determine the length of segment OP based on the given angles and segment RM length alone.

Step-by-step explanation:

To find OP, we need additional information about the diagram or the context in which angles P and S, and segment RM are related. It seems like this could be a question that involves a circle (where OP would be the radius), triangles, or some other geometric figures. Since we are not given a specific diagram or additional context, we cannot accurately determine the length of OP without more information. If OP is supposed to be a segment in a geometric figure related to RM, angles P and S, the question may be referring to a circle or triangle situation, but we need the relationship between these elements to provide a precise answer.