In ΔFGH, the measure of ∠H=90°, the measure of ∠F=18°, and HF = 9.2 feet. Find the length of FG to the nearest tenth of a foot.

9.7 feet

Step-by-step explanation:

You can use the Law of Sines to solve this problem. The law states:

Since the given triangle is ASA (angle-side-angle) and we can use the triangle angle sum theorem to find the third angle (sum of triangle angles is 180 degrees). We can therefore determine that angle G is 72 degrees because 180-90-18 is 72.

According to the diagram, we can input our values into the Law of Sines in order solve for FG. Now we can solve the ratio for FG.

sin90 is 1, so FG is equal to:

FG is equal to 9.67 feet, which is 9.7 when rounded to the nearest tenth of a foot.

this doesn't make sense lol