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find choose 1 answer. a (\frac{35}{12}) b (\frac{12}{35}) c (\frac{12}{…

Question

find
choose 1 answer.
a (\frac{35}{12})
b (\frac{12}{35})
c (\frac{12}{37})
d (\frac{35}{37})

Explanation:

Step1: Recall tangent definition

For angle $\alpha$ in right triangle $ABC$, $\tan\alpha = \frac{\text{opposite side}}{\text{adjacent side}}$.

Step2: Identify opposite/adjacent sides

Opposite to $\alpha$: $BC=35$, Adjacent to $\alpha$: $AC=12$.

Step3: Calculate $\tan\alpha$

$\tan\alpha = \frac{35}{12}$

Answer:

A. $\frac{35}{12}$