Let's start by evaluating the arcsin values:
arcsin(3/5) ≈ 36.87 degrees
arcsin(1/8) ≈ 7.11 degrees
Now, we can substitute these values back into the equation and simplify:
5sin(36.87) + 2sin(7.11)5(0.5736) + 2(0.1231)2.868 + 0.2462= 3.1142
Therefore, the final answer is approximately 3.1142.
Let's start by evaluating the arcsin values:
arcsin(3/5) ≈ 36.87 degrees
arcsin(1/8) ≈ 7.11 degrees
Now, we can substitute these values back into the equation and simplify:
5sin(36.87) + 2sin(7.11)
5(0.5736) + 2(0.1231)
2.868 + 0.2462
= 3.1142
Therefore, the final answer is approximately 3.1142.