MA 105 Lecture Notes - Lecture 16: Chairlift, Binoculars, Hot Air Balloon

1) a surveyor has determined that side BC of the right triangleshown has a length of 245.78ft and that the interior angle atcorner A is 23degrees 17'. Determine the length of the other sidesof the triangle.

2) a sloping earth dam rises 4.5 ft (vertical distance) forevery10ft of horizontal distance. what angle does the dam make withthe horizontal?

3) it is desired to determine the height of a flagpole. assumingthat the ground is level, an instrument is set up 50,000 ft fromthe flagpole with its telescope centered 5,000ft above the ground.the telescopes is sighted horizontally to a point 5,000ft from thebottom of the flagpole and then the angle to the top pole ismeasured.that angle is 8degrees 15'. how tall is the flagpole?