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

Resistance of a conductor is directly proportional to length. True or False
Which statement is true? Minerals are made from rock particles. Most rocks don't contain any minerals. Rocks are made from minerals. There is no relationshi
School teachers, counselors, and job placement centers can help you _____.
7/10 of your body is made of water. Is more than 1/2 body water? Explain.
3/4 divided by 2/3 equals
13. If a triangle has a height of 14 inches and a base of 9 inches, what is its area?
Which of the following groups led violent protests against British taxation in the colonies? a. Sons of Liberty b. Virginia House of Burgesses c. Parliament
what is 9.045 rounded to the nearest hundredths
what rights do people accused of a crime have
how do you write .006 in word form