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  • 16-12-2020
  • Mathematics
contestada

In ARST, r = 1.7 inches, s = 7.3 inches and ZT=15°. Find the length of t, to the nearest
10th of an inch.

Respuesta :

codiepienagoya codiepienagoya
  • 24-12-2020

Answer:

The answer is "5.7"

Step-by-step explanation:

Using the cosine rule.

[tex]\cos T = \frac{r^2+s^2-t^2}{2rs} \\\\t^2= r^2+s^2-2rs \cos T ........(i)\\\\r=1.7\\s=7.3\\T=15\\\\t^2= (1.7)^2+(7.3)^2-2(1.7)(7.3) \cos 15^{\circ} \\\\[/tex]

   [tex]=2.89+53.29-24.82(0.9659)\\\\=32.2064[/tex]

[tex]t= 5.6751 =5.7[/tex]

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