math16B_review_exer2

math16B_review_exer2 - Math 16B Section 1 Sarason REVIEW...

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Math 16B, Section 1 Spring 2006 Sarason REVIEW EXERCISES 2 1. A surveyor measures the angle of elevation of the top of a building as seen from a spot on the ground 100 feet from the building and finds it to be 1 . 25 radians. Estimate the height of the building. 2. In the Angst Amusement Park, the Ferris wheel has a radius of 20 feet and makes one com- plete revolution every half minute. What is the greatest vertical speed, in miles per hour, experienced by a passenger? 3. Dweeb Lake on the planet Nerdopia has a straight coastline. A boat on the lake travels parallel to the coast, at a distance of 1 nerdometer from the shore, at a constant speed of s nerdometers per nerdochrone. An observer on the shore measures the angle θ ( t ) between the shoreline and the line of sight from the observer to the ship. The measurements show that, at a certain time t 0 , θ ( t 0 ) = π/ 4 radians and θ ( t 0 ) = - 15 radians per nerdochrone. What is the value of s ?
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