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

Amy began running program. She ran less than 5/6 of mile. What part of a mile could Amy have run?
Who gave juliet the potion, so she could fake her death?
What is the significance of the 49th parallel?
Which is the correct form of the verb in the future-perfect tense? Al final del semestre yo ______ aprendido mucho. a. habrá b. habréis c. habré
-(1+7x)-6 (-7-x) =36
find the product of (4x - 3)(2x^2 - 7x + 1)A. 8x^3 - 22x^2 + 17x - 3B. 8x^3 + 8x^2 + 4x - 3C. 8x^3 - 34x^2 + 25x - 3D. 8x^3 - 42x^2 + 25x - 3
A toy manufacturer wants to minimize her cost for producing two lines of toy airplanes. Because of the supply of materials, no more than 40 Flying Bats can b
The perimeter of a scalene triangle is 14.5 cm. The longest side is twice that of the shortest sidd.which equation can be used to find the side lengths if the l
HELP URGENT BRAINLY + 5 STAR RATING
The source of energy that keeps the sun shining today is