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Mathematics, 07.04.2020 20:54 erykaa

Gerard is a window washer who charges his clients based on the area to be washed. He knows the width of an office tower, but he also needs the height. Although he dressed up as Spiderman at Halloween, he can’t crawl up the outside of buildings. This means that he can’t just use a tape measure to determine the building’s height. He could, however, stand on the roof of an adjacent building and determine the height indirectly using trigonometry. So, from the top of the adjacent building 42 m away, Gerard uses a clinometer and determines that the angle of depression to the base of the office tower is 38° and the angle of elevation to the top of the office tower is 52°. How tall, to the nearest meter, is the building whose windows he may wash?

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