Solve this Pythagorean: 18m, 48 degrees, I, G, H = ?. Find the length of GH to the nearest tenth of a metre

1 answer

To solve this Pythagorean problem, we can use the trigonometric functions sine, cosine, or tangent based on the information provided. Since we are given the hypotenuse (18m) and the angle opposite the side we are trying to find (48 degrees), we can use the sine function.

sin(48 degrees) = GH / 18m

GH = 18m * sin(48 degrees)
GH ≈ 13.68m

Therefore, the length of GH is approximately 13.7m.