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-761337-6758700Academic year 2016-2017Grade 10Third termMath Final RevisionName: _____________section:__________Identify the choice that best completes the statement or answers the question.____1.Find the value of the sine, cosine, and tangent functions for where , , and .a. ; ; b. ; ; c. ; ; d. ; ; ____2.Use a trigonometric function to find the value of x.a.x = 50c.x = 45b.x = 50d.x = 25____3.After takeoff from an airport, an airplane’s angle of ascent is 10. The airplane climbs to an altitude of 10,000 feet. At that point, what is the land distance between the airplane and the airport? Round your answer to the nearest foot.a.1,763 ftc.56,713 ftb.15,424 ftd.57,588 ft____4.A surveyor whose eye level is 5 feet above the ground determines the angle of elevation to the top of an office building to be 41.7°. If the surveyor is standing 40 feet from the base of the building, what is the height of the building to the nearest foot?a.41 ftc.50 ftb.36 ftd.32 ft____5.Find the values of the six trigonometric functions for ??a.sin ? = ; cos ? = ;tan ? = ; csc ? = ;sec ? = ; cot ? = c.sin ? = ; cos ? = ;tan ? = ; csc ? = ;sec ? = ; cot ? = b.sin ? = ; cos ? = ;tan ? = ; csc ? = ;sec ? = ; cot ? = d.sin ? = ; cos ? = ;tan ? = ; csc ? = ;sec ? = ; cot ? = ____6.Draw an angle with in standard position.a.c.b.d.____7.Find the measures of a positive angle and a negative angle that are coterminal with .a. and c. and b. and d. and ____8.Find the measure of the reference angle for .a.128°c.38°b.–38°d.218°____9. is a point on the terminal side of in standard position. Find the exact value of the six trigonometric functions for .a.; ;; ;; c.; ;; ;; b.; ;; ;; d.; ;; ;; ____10.Write an expression that can be used to determine all of the coterminal angles of an angle that measures 170.a., where n is an integerb., where n is an integerc., where n is an integerd., where n is an integer____11.Convert from radians to degrees.a.366°c.279°b.306°d.252°____12.Convert to radians. a.c.b.d.____13.Use the unit circle to find the exact value of the trigonometric function cos 30.a.1c.b.d.____14.Use a reference angle to find the exact value of sin 300°.a.c.b.d.____17.Find all possible values of .a.0.0151c., b., d., ____18.Evaluate the inverse trigonometric function . Give your answer in both radians and degrees.a. or c. or b. or d. or ____19.A 35-foot telephone pole casts a 46-foot shadow on the ground while the sun is shining. To the nearest degree, what is the angle of elevation of the sun from the end of the shadow?a.c.b.d.____20.Solve the equation to the nearest tenth. Use the restrictions .a. c. b. d. ____21.You can use trigonometry to measure the height of a pyramid in Egypt.[1.] An archaeologist positions himself 260 ft from the base of a pyramid so that his eye level is 5 ft above the ground. If the pyramid is 500 feet in height, what would be the angle of elevation from the archaeologist to the top of the pyramid?[2.] The angle of elevation from the eye level of an archaeologist to the top of a pyramid whose base is 400 feet away is 50. To the nearest foot, what is the height of the pyramid?a.[1.] [2.] ftc.[1.] [2.] ftb.[1.] [2.] ftd.[1.] [2.] ft____22.A triangle has a side with length 6 feet and another side with length 8 feet. The angle between the sides measures 73°. Find the area of the triangle. Round your answer to the nearest tenth.a.1752.0 ftc.45.9 ftb.7.0 ftd. ft____23.Solve the triangle. , , and . Round to the nearest tenth.a., , c., , b., , d., , ____26.Use the given measurements to solve ?ABC. Round to the nearest tenth.a. 21.2; 84.9?; 32.1?b.; ; c. 18.8; 97.6?; 19.4?d. 20.1; 90.5?; 26.5?____28.A building has a triangular floor with sides of 150, 200, and 280 feet. To the nearest square foot, what is the area of the floor of the building?a.213,334 ftc.315 ftb.2,898 ftd.14,464 ft____29.Prove the trigonometric identity .a.b.c.d.____30.Rewrite in terms of , and simplify.a.c.b.d.____32.What expression is equivalent to ?a.c.b.d.____33.Find the exact value of cos 255°.a.c.b.d.____34.Prove the identity .a.b.c.d.____35.Find if with 90° < A < 270° and if with 0° < B < 180°.a.c.b.d.____37.Find the exact value of .a.c.b.d.____38.Find all of the solutions of = .a. or , where n is an integerb. = 30c. or , where n is an integerd. = 30 or = 330____39.Solve the equation for the domain .a., , or c.b. or d.____40.Use trigonometric identities to solve the equation for .a.c.b.d., or ____41.When a batter hits a baseball, the ball travels in a parabolic path. For a certain hit, the path of the ball can be modeled by , where y is the height of the ball and t is the time in seconds. At what angle is the ball hit if it has a height of 15 feet after 3 seconds? Round your answer to the nearest tenth of a degree.a.64.3c.25.7b.23.5d.0.4____42.Which value of is NOT a solution to ?a.0c.135b.45d.180Numeric Response1.If , what is ?2.A new kind of computer chip is made in the shape of a triangle. The distance of each side is shown in the diagram. Find the area of the new chip. Round to the nearest hundredth. ................
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