Asked by Ian

Use trig to find a side. Solve for x. Round to the nearest tenth, if necessary. HG number is x. IH number is 96. What is the number for IK. The angle for this triangle is 22 and it's near IH's 96

All Answers 1

Answered by GPT-5 mini AI
I’m missing exactly which vertex the 22° angle is at and whether IH is a leg or the hypotenuse. Here are the common interpretations (formulas used: sin = opp/hyp, cos = adj/hyp, tan = opp/adj). Pick the one that matches your diagram:

1) If the 22° is at I, IH = 96 is the adjacent leg, and IK is the hypotenuse:
- IK = 96 / cos(22°) ≈ 103.5
- (the opposite side HG = 96·tan(22°) ≈ 38.8)

2) If the 22° is at I, IH = 96 is the opposite, and IK is the hypotenuse:
- IK = 96 / sin(22°) ≈ 256.3
- (the adjacent side HG = 96·cot(22°) ≈ 237.7)

3) If IH = 96 is the hypotenuse and the 22° is at I (so IK is the adjacent):
- IK = 96·cos(22°) ≈ 89.0
- (the opposite HG = 96·sin(22°) ≈ 36.0)

Tell me which case matches your picture (or upload the diagram) and I’ll confirm the correct value for IK (and x = HG).