In ΔGHI, g = 4.3 cm, h = 7.6 cm and ∠I=16°. Find ∠H, to the nearest 10th of a degree.

To find ∠H in ΔGHI, we can use the Law of Sines, which states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all three sides of the triangle.

First, we can find the sine of ∠I:

sin(I) = sin(16°) = 0.276

Next, we can use the Law of Sines to find the sine of ∠H:

sin(H) = (h/sin(I)) * sin(G)

We know that h = 7.6 cm, sin(I) = 0.276, and g = 4.3 cm. So we can substitute these values into the equation:

sin(H) = (7.6/0.276) * (4.3/7.6)

Solving this gives us:

sin(H) = 1.12

However, the sine of an angle cannot be greater than 1, so there seems to be a mistake in the given values or in the calculation. Please check the values and try again.