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Solve the right triangle below and round the decimal answers to the nearest tenth.

1. RS≈
2. RT≈
3. m∠T= (Note: This answer is a degree)


What are the answers for the following above?
Please show all the work on how you got your answers.

Solve the right triangle below and round the decimal answers to the nearest tenth 1 RS 2 RT 3 mT Note This answer is a degree What are the answers for the follo class=

Respuesta :

r3t40

We know sum of interior angles in any triangle is 180°. Your specific triangle is a right triangle (one angle must be 90°) and we are also given another angle (57°) that means we can find angle T,

[tex]T=180^{\circ}-90^{\circ}-57^{\circ}=33^{\circ}[/tex]

Use the sine function to find [tex]RT[/tex],

[tex]\sin(57^{\circ})=15/RT\implies RT=15/\sin(57^{\circ})\approx17.9[/tex]

Use the tangent function to find [tex]RS[/tex],

[tex]\tan(57^{\circ})=15/RS\implies RS=15/\tan(57^{\circ})\approx9.7[/tex]

Hope this helps.

Answer:

RS=9.7

RT=17.15

m<T=33

Step-by-step explanation:

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