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In ΔRST, the measure of ∠T=90°, TS = 56, SR = 65, and RT = 33. What is the value of the cosine of ∠S to the nearest hundredth?

Respuesta :

Answer:

0.86 (approx )

Step-by-step explanation:

Given,

RST is a right angled triangle,

Such that ∠T=90°, TS = 56, SR = 65, and RT = 33,

By the trigonometric ratio,

[tex]\cos S = \frac{\text{Adjacent leg}}{\text{Hypotenuse}}[/tex]

[tex]=\frac{TS}{SR}[/tex]

[tex]=\frac{56}{65}[/tex]

[tex]=0.86154[/tex]

[tex]=0.86[/tex]

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