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Sagot :
Answer:
[tex]$ \frac{\text{13}}{\text{85}} $[/tex]
Step-by-step explanation:
Given :
ΔRST is a right angled triangle with right angle at ∠RTS.
RT = 13, SR = 85 and TS = 84
We are required to find the ratio that represents the sine of angle RST.
Therefore, using trigonometric ratios, we know that :
[tex]$\sin \angle RST = \frac{\text{perpendicular}}{\text{hypothenuse}} $[/tex]
[tex]$\sin \angle RST = \frac{\text{RT}}{\text{RS}} $[/tex]
[tex]$\sin \angle RST = \frac{\text{13}}{\text{85}} $[/tex]
Therefore, the ratio that represents the sine of of ∠S is [tex]$ \frac{\text{13}}{\text{85}} $[/tex] .

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