## Find the Crossing Angle – Problem & Solution

**Mathematical Problem:**

Find the crossing angle of 1 in [latex] 8\frac{1}{2} [/latex] crossing by using all the three methods(Right angle, centre line and isosceles triangle method):

**Solution:**

**1. By using right angle method**

We know, [latex] \cot \alpha = N = 8.5 [/latex] [N = [latex] 8\frac{1}{2} [/latex] = 8.5]

So, Angle of Crossing = [latex] \alpha = 6^{\circ} {42}’ {35}” [/latex]

**2. By using centre line method**

We know,

[latex] \cot \frac{\alpha }{2} = 2N = 2 \times 8.5 = 17 [/latex]

So, Angle of Crossing = [latex] \alpha = 6^{\circ} {43}’ {59}” [/latex]

**3. By using Isosceles triangle method**

We know,

Or, [latex] \alpha = 6^{\circ} {44}’ {41}” [/latex]

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