jacobnoble16
jacobnoble16 jacobnoble16
  • 13-10-2016
  • Mathematics
contestada

Calculate cos theta to two decimal places

Calculate cos theta to two decimal places class=

Respuesta :

dsavellanedaj
dsavellanedaj dsavellanedaj
  • 31-07-2019

Answer:

B. 0.72

Step-by-step explanation:

In order to find the answer we need to use the following formula:

[tex]a^2=b^2+c^2-2bc*cos(\theta)[/tex] where:

a, b, c are the length of the sides and [tex]\theta[/tex] the angle, so:

[tex]7^2=10^2+8^2-(2*10*8)*cos(\theta)[/tex]

[tex]49=164-(160)*cos(\theta)[/tex]

[tex]cos(\theta)=0.71875[/tex]

In conclusion, [tex]cos(\theta)=0.72[/tex], so the answer is B.

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