Respuesta :

Answer:

22 degrees.

Step-by-step explanation:

Rounded to nearest degree means we have to round the final answer in the nearest degree. Let us suppose if the answer is 42.7 degrees then the final answer after rounded to nearest degree is 43 degrees.

Let us understand this concept by solving this problem.

Apply the cosine law which is given by

[tex]c^2=a^2+b^2-2ab\cos C[/tex]

In case of finding the angle T, we have

[tex]3^2=7^2+5^2-2(7)(5)\cos T\\9=49+25-70\cos T\\\\\cos T=\frac{65}{70}\\\\\cos T=\frac{13}{14}\\\\T=\cos^{-1}(\frac{13}{14})\\\\T=21.79^{\circ}[/tex]

When we round it to the nearest degree it should be 22 degrees.

First option is correct.

Rounded [tex]\rm \angle T[/tex] to the nearest degree means round the final output to the nearest degree that is, [tex]\rm \angle T = 22^\circ[/tex] and angle T can be evaluate by using the law of cosine.

Given :

  • SR = 3 cm
  • RT = 7 cm
  • TS = 5cm

To measure the [tex]\rm \angle T[/tex], law of cosine can be use, that is:

[tex]\rm cos(T) = \dfrac{7^2+5^2-3^2}{2\times 7 \times 5}[/tex]

[tex]\rm cos(T)=\dfrac{49+25-9}{70}[/tex]

[tex]\rm cos(T) = \dfrac{65}{70}=\dfrac{13}{14}[/tex]

[tex]\rm \angle T = cos^{-1}\dfrac{13}{14}[/tex]

[tex]\rm \angle T = 21.7867^\circ[/tex]

Rounded [tex]\rm \angle T[/tex] to the nearest degree means round the final output to the nearest degree that is, [tex]\rm \angle T = 22^\circ[/tex].

For more information, refer the link given below:

https://brainly.com/question/14762414