An aerial photograph is taken of a building. The photograph is made when the angle of elevation of the sun is 20°. The shadow is determined to be 50 feet long. How tall is the building?

The magnitude, m, of an earthquake is defined to be m=log l/s, where i is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and s is the intensity of a “standard” earthquake, which is barely detectable. what is the magnitude of an earthquake that is 1,000 times more intense than a standard earthquake? use a calculator. round your answer to the nearest tenth.

Awater holding tank measures 105 m long, 50 m wide, and 8 m deep. traces of mercury have been found in the tank, with a concen- tration of 60 mg/l. what is the total mass of mercury in the tank? answer in units of kg.

Write 5(6x+4)-2(5x-2) in the form a(bx+c) where a, b and c integers and a> 1