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timed problem score: 0/10 current time: 2.0 find: \\(\\cos a\\) *the fi…

Question

timed problem
score: 0/10 current time: 2.0
find: \\(\cos a\\)
the figure is not drawn to scale
answer
\\(\frac{4}{5}\\) \\(\frac{3}{4}\\) \\(\frac{3}{5}\\) \\(\frac{4}{3}\\)

Explanation:

Step1: Recall cosine definition

For acute angle $A$ in a right triangle, $\cos A = \frac{\text{adjacent side to } A}{\text{hypotenuse}}$

Step2: Identify sides for angle $A$

Adjacent side to $A$ is $4$, hypotenuse is $5$.

Step3: Calculate $\cos A$

$\cos A = \frac{4}{5}$

Answer:

$\frac{4}{5}$