Carlos and Clarita have been running their Pet Sitters business for quite some time now. Recently, one of the dogs, Fido, got out and ran to the undeveloped area near their house. Unfortunately, Fido fell down into a ditch. Thankfully, he is okay. Carlos and Clarita need to find a wayto get him out. Carlos and Clarita are both 5' 6" tall. They are on opposite sides of the ditch that is 28 feet wide. When Carlos looks at Fido, his line of sight makes a 460 angle below the horizontal. When Clarita looks at Fido, her line of site makes a 380 angle below the horizontal. How deep is the ditch?

Nthe opening scene of the movie raiders of the lost ark, indiana jones replaces a golden statue with a bag of sand. the platform on which the statue is placed is designed to detect the mass of the statue. if the bag of sand has a different mass than the statue, then a mechanism triggers and destruction ensues. the density of gold is about 20\text{ g/cm}^320 g/cm 3 20, space, g, slash, c, m, start superscript, 3, end superscript. the density of sand can be estimated at 2.5\text{ g/cm}^32.5 g/cm 3 2, point, 5, space, g, slash, c, m, start superscript, 3, end superscript. the gold statue can be modeled as a cylinder with height 25\text{ cm}25 cm25, space, c, m and radius 8\text{ cm}8 cm8, space, c, m. in terms of \piπpi, what is the mass of sand indiana jones needs to avoid triggering the mechanism?