Answer: The cosine of angle C is -0.0168.
Step-by-step explanation: To find the cosine of the angle opposite the side of length 2.92 meters, you can use the cosine law which states that:
c^2 = a^2 + b^2 - 2ab * cos(C)
where c is the length of the hypotenuse (the longest side), a and b are the lengths of the other two sides, and C is the angle opposite side c.
So in this case,
c = 8.82 m
a = 2.92 m
b = 7.67 m
then we can substitute the values into the equation and solve for cos(C):
(8.82)^2 = (2.92)^2 + (7.67)^2 - 2(2.92)(7.67) * cos(C)
cos(C) = (a^2 + b^2 - c^2) / (-2ab)
cos(C) = (2.92^2 + 7.67^2 - 8.82^2) / (-22.927.67)
cos(C) = -0.0168