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select the angle that correctly completes the law of cosines for this triangle 24^2+25^2-2(24)(25)cos ____=7^2

a) 180 degrees
b) 90 degrees
c) 74 degrees
d) 16 degrees

Respuesta :

d 16 degrees.
[tex] cos = \frac{ {7}^{2} }{ {24}^{2} + {25}^{2} - 2 \times 24 \times 25 } [/tex]
and you can use calculator to calculate. but I think, it's multiple choice question so you can use directly the choices, if the answer is right, just choose it.

The value of angle θ will be 16 degrees. Then the correct option is D.

What is the solution of the equation?

The solution of the equation means the value of the unknown or variable.

The equation is given below.

24² + 25² – 2(24)(25) cos θ = 7²

Then the value of angle θ will be

24² + 25² – 2(24)(25) cos θ = 7²

    576 + 625 – 1200 cos θ = 49

                          1200 cos θ = 1152

                                   cos θ = 1152 / 1200

                                          θ = cos⁻¹ (1152 / 1200)

                                           θ = 16°

Then the correct option is D.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

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