If in a `DeltaABC`, c = 3b and C - B = 90°, then tanB=

Options

A. `2+sqrt3`
B. `2-sqrt3`
C. 3
D. `1//3`

Explanation

To solve the problem, we need to find the value of \( \tan B \) given that in triangle \( ABC \), \( c = 3b \) and \( C - B = 90^\circ \).

### Step-by-Step Solution:

1. **Understand the Given Information**:
We have a triangle \( ABC \) where:
- \( c = 3b \) (where \( c \) is the side opposite angle \( C \) and \( b \) is the side opposite angle \( B \))
- \( C - B = 90^\circ \)
...