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Mathematics, 05.04.2021 19:40 mobslayer88
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Noah and Emma are standing on opposite sides of a 43.3 ft tree looking up at Noah’s cat, which is perched at the very top. They are separated by a horizontal distance of 100 ft. The distance from Emma to the cat is 50 ft and her angle of elevation to see the cat is 60°. The distance from Noah to the cat is 86.6 ft and his angle of elevation to see the cat is 30°.
(a) Identify three different trigonometric ratios that could have been used to find the distance x between Emma and the base of the tree. For each trigonometric ratio, determine the distance. Round to the nearest whole number.
(b) Use the Pythagorean theorem to find the distance x between Emma and the base of the tree. Round to the nearest whole number.
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