kellypoucher kellypoucher
  • 03-09-2017
  • Mathematics
contestada

Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles. C = 71°, a = 27, c = 26

Respuesta :

chrisqiao18cqiao chrisqiao18cqiao
  • 03-09-2017

We have

SinC/ c  = Sin A / a

Sin 71/ 26 = Sin A / 27

Sin A  = 27 Sin 71 /  26  = about .982

So°

Sin-1(.982)  = A  = 79. 08°

Then angle B = 180 - 71 - 79.08 = 29.92°

And b is given by

b/sin29.92  = 26/sin 71

b = 26sin29.92/sin71 =  about 13.72

But A could also be an obtuse angle = 180 - 79.08 =  100.92°

So we have

B = 180 - 71 - 100.92 = 8.08°

And we have

b / sin 8.08  = 26/sin71

b = 26sin8.08/sin 71 = 3.865

Answer Link

Otras preguntas

What times what equals 325
Alicia's garden is 6.3 square feet in length and 12.6 square feet in width.Tomato plants require 2 square feet of space. How many Tomato plants can Alicia fit
In ∆ABC, which ratio equals cos C?
What times 3 equals 62
on field day, 1/10 of the students in Mrs. Brown's class competes in jumping events, 3/5 of the student competes in running events, and 1/10 competed in throwin
Why do businesses try to sell more products or try to sell products at higher prices?
A gene is to a chromosome as a. a pea to a pod b. a front is to a back c. a bike is to a car d. a building is to a window
a pipe is leaking and 1.5 cups per day about how many gallons per week is the pipe leaking
Which of the following is an advantage of sexual reproduction? a. There is no need to find a mate. b. It does not require meiosis. c. It leads to decreased gene
Change the subject of the formulae to b::: 8a + 3b = 12. And 3b^2=27