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find: cos a the figure is not drawn to scale. answer \\frac{75}{85} \\f…

Question

find: cos a
the figure is not drawn to scale.
answer
\frac{75}{85}
\frac{40}{85}
\frac{75}{40}
\frac{40}{75}

Explanation:

Step1: Recall cosine definition

In a right triangle, $\cos\theta = \frac{\text{adjacent}}{\text{hypotenuse}}$ for an angle $\theta$.

Step2: Identify sides for $\angle A$

For $\angle A$, adjacent side is 75, hypotenuse is 85.

Step3: Calculate $\cos A$

$\cos A = \frac{75}{85}$

Answer:

$\frac{75}{85}$ (corresponding to the first option: $\frac{75}{85}$)