The light from the lamp casts a shadow of a man standing 15ft away from the lamppost, the shadow is 5ft long. the angle of elevation from the tip of the shadow to the lamp is 50degrees. to the nearest foot, the lamppost is how tall?

Acoffee shop orders at most $3,500 worth of coffee and tea. the shop needs to make a profit of at least $1,900 on the order. the possible combinations of coffee and tea for this order are given by this system of inequalities, where c = pounds of coffee and t = pounds of tea: 6c + 13t ≤ 3,500 3.50c + 4t ≥ 1,900 which graph's shaded region represents the possible combinations of coffee and tea for this order?