Answer: 7.5
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