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A Man Standing near a Radio Station Antenna Observes That

Question 146

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A man standing near a radio station antenna observes that the angle of elevation to the top of the antenna is b ​ = 67°. He then walks 100 feet further away and observes that the angle of elevation to the top of the antenna is ​a ​ = 45° . Find the height of the antenna to the nearest foot. ( Hint : Find x first.) ​ A man standing near a radio station antenna observes that the angle of elevation to the top of the antenna is b ​ = 67°. He then walks 100 feet further away and observes that the angle of elevation to the top of the antenna is ​a ​ = 45° . Find the height of the antenna to the nearest foot. ( Hint : Find x first.) ​   ​ A)     ft B)     ft C)     ft D)     ft E)     ft


A) A man standing near a radio station antenna observes that the angle of elevation to the top of the antenna is b ​ = 67°. He then walks 100 feet further away and observes that the angle of elevation to the top of the antenna is ​a ​ = 45° . Find the height of the antenna to the nearest foot. ( Hint : Find x first.) ​   ​ A)     ft B)     ft C)     ft D)     ft E)     ft  ft
B) A man standing near a radio station antenna observes that the angle of elevation to the top of the antenna is b ​ = 67°. He then walks 100 feet further away and observes that the angle of elevation to the top of the antenna is ​a ​ = 45° . Find the height of the antenna to the nearest foot. ( Hint : Find x first.) ​   ​ A)     ft B)     ft C)     ft D)     ft E)     ft  ft
C) A man standing near a radio station antenna observes that the angle of elevation to the top of the antenna is b ​ = 67°. He then walks 100 feet further away and observes that the angle of elevation to the top of the antenna is ​a ​ = 45° . Find the height of the antenna to the nearest foot. ( Hint : Find x first.) ​   ​ A)     ft B)     ft C)     ft D)     ft E)     ft  ft
D) A man standing near a radio station antenna observes that the angle of elevation to the top of the antenna is b ​ = 67°. He then walks 100 feet further away and observes that the angle of elevation to the top of the antenna is ​a ​ = 45° . Find the height of the antenna to the nearest foot. ( Hint : Find x first.) ​   ​ A)     ft B)     ft C)     ft D)     ft E)     ft  ft
E) A man standing near a radio station antenna observes that the angle of elevation to the top of the antenna is b ​ = 67°. He then walks 100 feet further away and observes that the angle of elevation to the top of the antenna is ​a ​ = 45° . Find the height of the antenna to the nearest foot. ( Hint : Find x first.) ​   ​ A)     ft B)     ft C)     ft D)     ft E)     ft  ft

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