A) T(m) = -0.16m +331.3
B) T(2015) = 8.9 . . . seconds
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The linear regression function of a graphing calculator can find the equation of the line easily. Or, you can use the 2-point form of the equation of a line.
.. T(m) = (10.5 -14.5)/(2005 -1980)*(m -1980) +14.5
.. T(m) = -0.16(m -1980) +14.5
Cosα=x/L
L=x/cosα, we are told that the ladder base is 48 ft from the base of the wall and α=39° so:
L=48/cos39 ft
L≈61.76 ft (to nearest hundredth of a foot)
Do sqrt(18^2)+26^2)). It should give you the answer.
Well, if the elevation is 45 degrees, the height of the tree and the distance to the truck are the same.
The elevation is more than that, so the distance to the truck is less than the height of the tree.
The only answer that reflects that is D.