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find: cot a *the figure is not drawn to scale* answer $\frac{11}{60}$ $…

Question

find: cot a
the figure is not drawn to scale
answer
$\frac{11}{60}$ $\frac{60}{11}$ $\frac{61}{11}$ $\frac{11}{61}$

Explanation:

Step1: Recall cotangent definition

In a right - triangle, $\cot\theta=\frac{\text{adjacent}}{\text{opposite}}$ with respect to the angle $\theta$.

Step2: Identify sides for angle A

For angle $A$ in the given right - triangle, the adjacent side to angle $A$ is $11$ and the opposite side is $60$.

Step3: Calculate cot A

$\cot A=\frac{\text{adjacent to }A}{\text{opposite to }A}=\frac{11}{60}$

Answer:

$\frac{11}{60}$