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Tan12

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Surname 1 Student’s Name Professor Course Due date Angle of Elevation; (a) The tangent of the angle of elevation is equal to the ratio of opposite side (6 mi) to hypotenuse (x mi) Therefore, 𝑇𝑎𝑛 𝜃 = 𝑜𝑝𝑝𝑜𝑠𝑖𝑡𝑒 (6 𝑚𝑖) ℎ𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 (𝑥 𝑚𝑖) 6 𝑡𝑎𝑛 𝜃 = 𝑥 ………………………………….. (1) From equation 1 above, 𝜃 will be given by 6 𝜃 = tan−1 (𝑥) (a) The value 𝜽 when 𝑥 is 10 miles 6 𝜃 = tan−1 (10) 𝜃 = tan−1 (0.6) 2 𝜃 = 30.9638° 𝑜𝑟 0.5404 𝑟𝑎𝑑 The value 𝜽 when 𝑥 is 3 miles 6 𝜃 = tan−1 (3) 𝜃 = tan−1 (2) 𝜃 = 63.4349° 𝑜𝑟 1.1071 𝑟𝑎𝑑 3 Works Cited Barry, Patrick D. Geometry with Trigonometry. 2016. Name: Tan12 Description: The tangent of the angle of elevation is equal to the ratio of opposite side (6 mi) ...
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