Question

find: cot a
the figure is not drawn to scale
answer
$\frac{45}{53}$ $\frac{28}{45}$ $\frac{45}{28}$ $\frac{53}{45}$

Explanation:

Step1: Recall cotangent definition

The cotangent of an angle in a right - triangle is defined as the ratio of the adjacent side to the opposite side with respect to that angle. For angle $A$ in a right - triangle, $\cot A=\frac{\text{adjacent}}{\text{opposite}}$.

Step2: Identify sides for angle $A$

For angle $A$, the adjacent side is the side next to angle $A$ (excluding the hypotenuse), which has length 28, and the opposite side is the side across from angle $A$, which has length 45.

Step3: Calculate $\cot A$

So, $\cot A=\frac{28}{45}$.

Answer:

$\frac{28}{45}$