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Magazine Problem 348
For the following exercises, use side lengths to evaluate. $$ \cos \frac{\pi}{4} $$
Problem 359
For the following exercises, solve for the unknown sides of the given triangle. A 15 -ft ladder leans against a building so that the angle between the ground and the ladder is \(70^{\circ} .\) How high does the ladder reach up the side of the building?
Problem 362
Convert \(-620^{\circ}\) to radians.
Problem 365
Find the angle between \(0^{\circ}\) and \(360^{\circ}\) that is coterminal with \(375^{\circ} .\)
Problem 367
Draw the angle \(315^{\circ}\) in standard position on the Cartesian plane.
Problem 369
A carnival has a Ferris wheel with a diameter of 80 feet. The time for the Ferris wheel to make one revolution is 75 seconds. What is the linear speed in feet per second of a point on the Ferris wheel? What is the angular speed in radians per second?
Problem 384
The angle of elevation to the top of a building in Chicago is found to be 9 degrees from the ground at a distance of 2000 feet from the base of the building. Using this information, find the height of the building.
