dayannaowens71 dayannaowens71
  • 10-06-2021
  • Mathematics
contestada

Find the value of x in the triangle shown below 3.5 4 3.5 x• 55•

Find the value of x in the triangle shown below 35 4 35 x 55 class=

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Luv2Teach
Luv2Teach Luv2Teach
  • 13-06-2021

Answer:

Step-by-step explanation:

Since this is not a right triangle, we will use the Law of Sines. For us that looks like this:

[tex]\frac{sin55}{3.5} =\frac{sinx}{4}[/tex] and cross multiply to get

4sin55 = 3.5sinx and solve for sinx:

[tex]sinx=\frac{4sin55}{3.5}[/tex] so

sinx = .9361737 Use the 2nd button on your calculator and the sin button to find that the angle

x = 69.4°. Not sure how you need it rounded. It's actually 69.4186°

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good job