Answer:
Let x = the charge in 1st city before taxes
Let y = the charge in 2nd city before taxes
Set up equation before taxes.
y = x - 1500 eq1
Set up equation for total tax paid.
0.065x + 0.06y = 378.75 eq2
Substitute eq1 into eq2.
0.065x + 0.06(x - 1500) = 378.75
0.065x + 0.06x - 90 = 378.75
0.125x - 90 = 378.75
0.125x = 468.75
x = 3750
Substitute this value of x into eq1.
y = 3750 - 1500
y = 2250
The hotel charge in city one is $3750 and the hotel charge in city two is $2250
For the first one:
The angle is tan^-1 (-9/2)
From this, you can find the base of the triangle with height 54 in. Then, you can find the base of the triangle with base 74 in. Then you subtract the base of the triangle with height 54 in from the base of the triangle with height 74 in to get x.
The foot of the ladder is
10
feet away from the base of the wall. [Ans]
