In δpqr, sin p = 0.3, sin r = 0.4 and r = 10. find the length of p. show your work.

7.5

Step-by-step explanation:

First, you would want to draw a triangle. I attached a sample triangle PQR.

For this triangle, p would be length QR and r would be length PQ.

The definition of sine is opposite/adjacent from the point given. Therefore we have:

sin P = QR/PR = 0.3 .    and    sin R = PQ/PR = 0.4

Since we know PQ (length r = 10), we could plug that into the equation on the right to get:

10/PR = 0.4.  Thus PR = 25.

Plugging this into the other equation we have QR/25 = 0.3. Thus QR = 7.5.

The length of p would be 7.5

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