kimmykoretnickoqqqh7 kimmykoretnickoqqqh7
  • 17-07-2020
  • Mathematics
contestada

Given a triangle with: a =
150, A = 75°, and C = 30°
Using the law of sines gives: c = 0

Respuesta :

mathstudent55
mathstudent55 mathstudent55
  • 17-07-2020

Answer:

[tex] c = 77.6 [/tex]

Step-by-step explanation:

You may have entered the measure of a side as the measure of an angle.

[tex] \dfrac{\sin A}{a} = \dfrac{\sin C}{c} [/tex]

[tex] \dfrac{\sin 75^\circ}{150} = \dfrac{\sin 30^\circ}{c} [/tex]

[tex] c\sin 75^\circ = 150 \sin 30^\circ [/tex]

[tex] c = \dfrac{150 \sin 30^\circ}{\sin 75^\circ} [/tex]

[tex] c = 77.6 [/tex]

You are correct. Good job!

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