How far from the base of a house do you need to place a 15 feet ladder so that it reaches the top of a 12 feet tall wall?

At one end of a lever is a 320 kg weight, which is 5 meters from the fulcrum. How much weight should be placed on the other end, 8 meters from the fulcrum, to balance?

. A soccer field is a rectangle 100 meters wide and 130 meters long. The coach asks players to run in a diagonal line across the field. What is that
distance?

A right triangle has a base of 20 inches and a height of 21 inches. What is its hypotenuse?

Clayton needs to change the broken lightbulb in a streetlamp. The streetlamp is 12 feet high. Clayton places the base of his ladder 4 feet from the base of the streetlamp. How long does his ladder need to be to reach the top of the streetlamp?

Jorge is installing a gravel path along the diagonal of a rectangular garden. The garden measures 24 feet by 32 feet long. Find the length of the diagonal. If the path is 2 feet wide and gravel costs $2.50 a square foot, how much will it cost to install the gravel path?