As shown in the figure, in the square grid, the tangent value of ∠ AOB is___ .

As shown in the figure, in the square grid, the tangent value of ∠ AOB is___ .

Connecting AB, according to Pythagorean theorem, we can get OA = ob = 10, ab = 8, according to cosine theorem, we can get: oa2 + ob2-2oa · ob · cos ∠ AOB = AB2, that is: 10 + 10-20cos ∠ AOB = 8, we can get cos ∠ AOB = 35. The tangent of ∠ AOB is 34