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QUESTION IMAGE

what is the tan (s) t 90 r 56 106 s 28/45 45/28 28/53 45/53

Question

what is the tan (s)
t
90
r
56
106
s
28/45
45/28
28/53
45/53

Explanation:

Step1: Recall the tangent formula

In a right - triangle, $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. For angle $s$, the opposite side is $TR = 90$ and the adjacent side is $ST=56$.

Step2: Simplify the fraction

$\tan(s)=\frac{90}{56}=\frac{45}{28}$ (divide numerator and denominator by 2).

Answer:

$45/28$