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

If a circle is cut from a square piece of plywood, how much plywood would be left over? Use 3.14 for pi
A midwestern music competition awarded 35 ribbons. The number of blue ribbons awarded was 3 less than the number of white ribbons. the number of red ribbons was
The sales tax rate is 8%. Estimate the tax on a jacket that costs $69.95.
How can i solve this f:d->R f(x)=x at power2/x-1
When y = x^2, which of the following expressions is equivalent to –y ?
Meg pounded a stake into the ground. When she attached a leash to both the stake and her dog’s collar, the dog could reach 9 feet from the stake in any directio
What caused the rise of military government in Japan?
If 4x+5y=10 and x+3y = 8 then (5x+8y)/3=
What caused the rise of military government in Japan?
Which of the following are examples of trisomy? Turner Syndrome, Down's syndrome, or Klinefelter's Syndrome