Let x = number of common cars y = number of suvs we can write the following system of equations x-y = 12 x = 1.429y Solving the system we have x-y = 12 1.429y-y = 12 and (1,429-1) = 12 y = (12) / (1,429-1) = 27.97202797 then, x = 1429 * (27.97202797) x = 39.97202797 answer The number of suvs in the parking lot is 28
This is the concept of trigonometry, the distance from the foot of the ladder will be given by: tan theta=[opposite]/[adjacent] opposite=17 ft adjacent=x ft theta=37° thus tan 37=17/x x=17/tan 37 x=22.56 ft =22.6 ft (to the nearest 10th of a foot)
