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length of a shadow cast...

1. Convert 2π/3 radians into degrees. 2. Determine the length of a shadow cast by a flagpole that is 15 feet high when the sun has an angle of elevation of 28˚ Round your answer to the nearest foot. 3. Find two exact values of (cos^-1√5 / 6) 4. A counterclockwise

rotation of 220˚ starting at 0˚ terminates in which quadrant? 5. Express 315˚ in radians 6. Determine the period of the function f(x)= 3sin 1/2x +2 7. Write an equation for a cosine function with an amplitude of 2/3 a period of π and a vertical shift of 2

units up. 8. Find the exact value of cosθ if sinθ = -2/3 and θ is in standard position with its terminal side in Quadrant IV. 9. Which of the following is coterminal with 237˚ ? Answer -237˚ 33˚ -33˚ 597˚ 11. Find the area of the triangle ABC with a = 7.2,

c = 4.1, and B= 28˚ Round your answer to the nearest tenth. 12.Determine sin x tan x - sin x =0 for 0 ≤ x < 360˚ 13.If sin θ =1/5 and θ is in Quadrant I, find the exact value of sin 20. 15. The period of the sine function is equal to pi. True or false? 16.

Find the area of a sector, given a central angle of 240˚ and a radius of 15 cm. Round your answer to the nearest tenth. 17. Solve ∆ABC given a = 4.4, b = 9.1, and c = 5.7. Round your answer to the nearest tenth. 18. Find the length of the intercepted arc,

given a central angle of 3π/5 and a radius of 4.5 cm. Round your answer to the nearest tenth. 19. Given A= 56˚, C= 61˚ and b = 10.5, solve triangle ABC. If no triangle exists, explain why. If two solutions exist, write both. Round your answer to the nearest

tenth. 20. Given f(x)= -2sin(2x-π/2)+5 find the amplitude. 21. Given f(x)= -2sin(2x-π/2)+5 find the period. 22. Given f(x)= -2sin(2x-π/2)+5 find the vertical shift. 23. The average temperature, in °F, of City B is given by the equation y= 19.5sin(π/6t -2.06)

+62 where t is the time in months and t = 1 corresponds to January. What is the average temperature in April? Round your answer to the nearest hundredth. 24. Given sinθ find θ in degrees to the nearest tenth.

rotation of 220˚ starting at 0˚ terminates in which quadrant? 5. Express 315˚ in radians 6. Determine the period of the function f(x)= 3sin 1/2x +2 7. Write an equation for a cosine function with an amplitude of 2/3 a period of π and a vertical shift of 2

units up. 8. Find the exact value of cosθ if sinθ = -2/3 and θ is in standard position with its terminal side in Quadrant IV. 9. Which of the following is coterminal with 237˚ ? Answer -237˚ 33˚ -33˚ 597˚ 11. Find the area of the triangle ABC with a = 7.2,

c = 4.1, and B= 28˚ Round your answer to the nearest tenth. 12.Determine sin x tan x - sin x =0 for 0 ≤ x < 360˚ 13.If sin θ =1/5 and θ is in Quadrant I, find the exact value of sin 20. 15. The period of the sine function is equal to pi. True or false? 16.

Find the area of a sector, given a central angle of 240˚ and a radius of 15 cm. Round your answer to the nearest tenth. 17. Solve ∆ABC given a = 4.4, b = 9.1, and c = 5.7. Round your answer to the nearest tenth. 18. Find the length of the intercepted arc,

given a central angle of 3π/5 and a radius of 4.5 cm. Round your answer to the nearest tenth. 19. Given A= 56˚, C= 61˚ and b = 10.5, solve triangle ABC. If no triangle exists, explain why. If two solutions exist, write both. Round your answer to the nearest

tenth. 20. Given f(x)= -2sin(2x-π/2)+5 find the amplitude. 21. Given f(x)= -2sin(2x-π/2)+5 find the period. 22. Given f(x)= -2sin(2x-π/2)+5 find the vertical shift. 23. The average temperature, in °F, of City B is given by the equation y= 19.5sin(π/6t -2.06)

+62 where t is the time in months and t = 1 corresponds to January. What is the average temperature in April? Round your answer to the nearest hundredth. 24. Given sinθ find θ in degrees to the nearest tenth.

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