The angular depressions of the top and the foot of a tower, as seen from the top of a second tower which is 150 meters high and standing on the same level as the first, are t a n - 1 4 3 and t a n - 1 5 2 respectively. If the distance betwe

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The angular depressions of the top and the foot of a tower, as seen from the top of a second tower which is 150 meters high and standing on the same level as the first, are t a n - 1 4 3 and t a n - 1 5 2 respectively. If the distance between their tops is d , then d 20 is

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Correct answer: 5

tan ⁡ α = 150 x = 5 2 ⇒ x = 6 0 tan ⁡ β = 150 - h x = 150 - h 60 = 4 3 ⇒ 150 - h = 80 ⇒ h = 7 0 ⇒ A E = 80 units , C E = 60 units ⇒ A C = 100 units (Pythagoras theorem)

The angular depressions of the top and the foot of a tower, as seen from the top of a second tower which is 150 meters high and standing on the same level as the first, are t a n - 1 4 3 and t a n - 1 5 2 respectively. If the distance between their tops is d , then d 20 is

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