Question

find: cot b the figure is not drawn to scale answer $\frac{60}{45}$ $\frac{60}{75}$ $\frac{75}{60}$ $\frac{45}{60}$

Explanation:

Step1: Recall cotangent definition

The cotangent of an angle in a right - triangle is defined as $\cot\theta=\frac{\text{adjacent}}{\text{opposite}}$. For angle $B$, the adjacent side to angle $B$ has length $45$ and the opposite side to angle $B$ has length $60$.

Step2: Calculate $\cot B$

Using the formula $\cot B=\frac{\text{adjacent to }B}{\text{opposite to }B}$, we get $\cot B = \frac{45}{60}$.

Answer:

$\frac{45}{60}$