Dexter got a job as a surveyor. Using his transit he can find out angles. He is sent to find the height of a lighthouse sitting on the edge of a sheer cliff. He sets up the
transit 200 metres from the cliff bottom. The transit sits 1.5 metres above the
ground. When he sights (aims the transit) at the top of the lighthouse, he records an
angle of elevation of 52 degrees. When he sights the bottom of the lighthouse, he
records an angle of elevation of 45 degrees. How tall is the lighthouse to the nearest
metre?
5
52°
45°
1.5 m
455
mi
200 m

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?