# Bill's City Views

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• Bill wants to go up the roof but doesn't know how high the house is.He wants to be able to see the whole town at night. If the angle of the hypotenuse,where the ladder meets the ground is 76 degrees and he is 20 ft. away from his house. Bill knows he will need to use trigonometry to find the height of the house. Bill figures out that tan(76)*20=80. Bill's house is 80 ft. tall.
• The next day Bill had the curiosity of going up to the roof of a building at night to see the all the city lights. The height of the building is 126 feet and Bill has a ladder that is 128 feet long.. Bill needs to know how much the angle needs to be to be able to ﻿find the angle of elevation. Bill decides to use trig, so he takes cos x=cos﻿-1(118/126). He finds out that the angle needs to be 21 degrees.
• Bill has decided to go to move to ﻿a new town. Bill wasn't fully satisfied to see the lights in his town so he drove 60 miles to see a better view.
• Before he went to another building to see the nightly view ,Bill decided to have a slide from the hotel he was staying to the ground. He knows the height of the hotel is 70 feet and he will need an angle of elevation of 45 degrees.Bill knows he should use trig,so he does x=70/sin(45). Bill needs to find a slide that is 99 feet long.
• ﻿Bill continued to go up the buildings to see the city views in all kinds of different cities and towns.
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• ﻿THE END
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