Kramirez99 Kramirez99
  • 13-06-2017
  • Mathematics
contestada

Calculate the length b to two decimal places

Calculate the length b to two decimal places class=

Respuesta :

memephiliac memephiliac
  • 13-06-2017
The answer's A. 29.84
Answer Link
agaue agaue
  • 12-09-2018

In figure given two sides and the included angle (SAS) so we can apply cosine rule.

[tex]b^{2}=a^{2}+c^{2}-2accosB.[/tex]

In the figure a=22,c=14,<B=110°

Substituting these values in cosine formula :

[tex]b^{2}=22^{2}+14^{2}-2(22)(14)cos 110 .[/tex]

[tex]b^{2}=484+196-616(-0.34)[/tex]

[tex]b^{2}=680+209.44[/tex]

[tex]b^{2}=889.44[/tex]

b=29.84.

Option A is the right answer.

Answer Link

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