Final answer:
To find the length of h in triangle GHI, use the trigonometric ratios
Step-by-step explanation:
To find the length of h in triangle GHI, we can use the trigonometric ratios. We know that ∠I = 125° and ∠G = 9°. To find ∠H, we can subtract the sum of the other two angles from 180°: ∠H = 180° - 125° - 9° = 46°.
Now we can use the sine ratio to find the length of h. The sine of an angle is equal to the length of the side opposite the angle divided by the length of the hypotenuse. In this case, the hypotenuse is i and the side opposite ∠H is h. So we have sin(46°) = h/i.
Let's substitute the given value of i (250 cm) into the equation: sin(46°) = h/250.
Now we can solve for h: h = 250 * sin(46°).
Using a calculator, we find that sin(46°) is approximately 0.719. Therefore, h ≈ 250 * 0.719 = 179.75 cm.