joshuawynette15
joshuawynette15 joshuawynette15
  • 02-07-2020
  • Mathematics
contestada

In triangle ABC, the right angle is at vertex C, a = 714 cm and the measure of angle A is 78° . To the nearest cm, what is the length of side c?

Respuesta :

walber000 walber000
  • 08-07-2020

Answer:

c = 730 cm

Step-by-step explanation:

To solve this question we just need to use the law of sines:

The ratio between a side in the triangle and its opposite angle is always the same.

So we have that:

[tex]a / sin(A) = c / sin(C)[/tex]

[tex]714 / sin(78) = c / sin(90)[/tex]

sin(78) is equal 0.9781 and sin(90) is equal 1, so we have:

[tex]714 / 0.9781 = c / 1[/tex]

[tex]c = 714 / 0.9781 = 730\ cm[/tex]

Answer Link

Otras preguntas

8. Write an equation for the line that is parallel to the given line and that passes through the given point. y = 3x - 8; (-6, -17)
Prior to reforms in Great Britain, what percent of males were able to vote and elect members of the British Parliament?
Which of the following statements is true of marijuana? A. Marijuana’s active ingredient blocks the part of the brain that produces adrenaline. B. Marijuana is
what’s 2+2x 234+47382939593939
How have humans affected their environment over time?
When did World war 2 end?
What was the result of the Kennedy administration’s interaction in Vietnam?
1 3.3.4 Quiz: Origins and Alliances of the Cold War Question 4 of 10 2 Points By supporting pro-democratic governments against aggression, we can limit the spre
which of the following statements about the number line is true? A. numbers get larger as you move to the left on the number line B. number lines end with the
Converges and diverged part 4​