Answer:
897.1 cm
Explanation:
In ∆GHI, you have g = 240 cm, H = 157°, and I = 17°, and you want the measure of side h.
Law of sines
The law of sines tells you side lengths are proportional to the sine of the opposite angle. Here, we need to know the measure of angle G in order to determine the length h. We find that using the sum of angles in a triangle.
G +H +I = 180°
G +157° +17° = 180°
G = 6° . . . . . . . . . . . . . subtract 174°
Now, we can write the proportion ...
h/sin(H) = g/sin(G)
h = sin(H)·g/sin(G) = (240 cm)·sin(157°)/sin(6°)
h ≈ 897.1 cm