Mac and Keith are remodeling an old mansion, surrounded by a tall stone wall. They need to purchase a ladder that can reach the top of the wall, but are unsure what length is required. Mac knows the height of the wall is 15 feet. Keith estimates the angle of inclination between the ladder and the ground, θ, must be between 30° and 36°. The situation is shown in the image below. Use the number line below to plot the range of possible values for the length of the ladder that meets the top of the wall. Round each length to the nearest integer.