Answered

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In ΔRST, the measure of ∠T=90°, RT = 13, TS = 84, and SR = 85. What ratio represents the sine of ∠S?

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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