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Trigonometry Ch. 8 Practice Test

This Trigonometry Practice Test challenges students to solve problems involving geometric means, trigonometric ratios, and triangle measurements. Students will find the geometric mean between 10 and 50 and utilize the 45-45-90 and 30-60-90 patterns to find missing lengths in reduced radical form. The test also includes real-world applications such as distance calculations from altitudes and incline measurements. Additionally, students will apply the laws of sines and cosines to find missing angles and sides in triangles, rounding to the specified precision.

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Trigonometry Ch. 8 Practice Test

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  1. Trigonometry Ch. 8 Practice Test Click the mouse after you try each question to see the correct answer.

  2. Find the geometric mean. 10 and 50

  3. Find the missing measures in reduced radical form. X = 6 x 5

  4. Use the 45-45-90 pattern to solve for x and y in reduced radical form. x = 9 y = 9 x = y = 19 x y 9 y x

  5. Use the 30-60-90 pattern to solve for x and y in reduced radical form. x = 15 y = 15 x = 5 y = 10 60 y 30 x x 30 y 15

  6. Find the trig ratio from the picture provided in reduced fraction form and as a decimal to four decimal places. Cos A = .7143 Tan B = 1.0667 Sin A = .7619 A 21 15 C B 16

  7. From an airplane, Janara looked down to see a city. If she looked down at an angle of 9 degrees and the airplane was half a mile above the ground, what was the horizontal distance to the city? 3.2 miles

  8. A section of freeway has a steady incline of 10 degrees. If the horizontal from the beginning of the incline to the end is 5 miles, how high does the incline reach? .9 miles

  9. Use law of sine to solve for all the missing pieces of the triangle. Round all measurements to the nearest tenth. a = 12.2 b = 10.9 ∠B = 48 ∠A = 54.9 ∠C = 77.1 c = 14.3

  10. Use law of cosine to solve for all the missing parts of the triangle. Round all measurements to the nearest whole. a = 19 b = 23.2 c = 21 ∠A = 51 ∠B = 72 ∠C = 57

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