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Geometry 2 – Trigonometry Test Review 4) For J in the figure shown below, which statement is true for the cosine of J? G.SRT.6 Learning Target: I can use trig ratios to solve problems. L 1) If the cos A 113 15 5 , what is the value of x? 14 K J 112 A) cos J 15 113 B) cos J 15 112 C) cos J 112 113 Answer: ______________ D) cos J 112 15 2) What is the tan A? Answer: ______________ B 13 5 C 5) Which expression can be used to find the value of x in the triangle? 12 A A) x 15 cos 48 B) x 15cos 42 Answer: ______________ 3) Given the following trig ratios, what is the length of AC? A 21 C B 28 35 21 cos A 35 28 tan A 21 sin A C) x sin 48 15 D) x 15 sin 48 15 48 x Answer: ______________ 6) Which expression can be used to find mT? U 1 A) sin (0.35) B) cos1 (0.35) 18.5 1 C) cos (2.85) D) tan 1 (0.35) Answer: ______________ T 6.5 Answer: ______________ V Geometry 2 – Trigonometry Test Review 10) What is the value of x in the triangle shown? 7) Which expression CANNOT be used to find AC? B 3.0 67° 7.7 x 23° C A Answer: ______________ A) 7.7(cos 23°) 11) What is the length of the leg? B) 7.7 (sin 67°) C) 3.0(tan 67°) D) 3.0(cos 67°) 4 Answer: ______________ G.SRT.6 Learning Target: I can use rules of special right triangles to solve problems. 45° Answer: ______________ 8) The hypotenuse of a 30-60-90 triangle measures 5 3 inches. What is the measure of the longer leg? G.SRT.7 Learning Target: I can explain the relationship between sine and cosine. 12) Write cos 35° in terms of sine. Then explain how cosine and sine are related in a given triangle. Answer: ______________ Answer: ______________ 9) Find the length of the hypotenuse? 9 cm 60° ______________________________________ ______________________________________ ______________________________________ ______________________________________ Answer: ______________ ____________________________________ Geometry 2 – Trigonometry Test Review 13) In the right triangle ABC, A and B are complementary angles. Which statement is TRUE? C 15) If a skateboard ramp has a slope of 2 , 7 what is the measure of the angle that the ramp makes with the ground? 20 48 A 52 B Answer: ______________ A) The cos A and the sin B are both equal 12 . to 13 5 B) The cos A= 12 and the sin B = . 13 13 C) The cos A and the sin B are both equal to 5 13 D) The cos A= 5 and the sin B = 12 . 13 13 16) A slide 5.2m long makes an angle of 35°with the ground. How high is the top of the slide above the ground? Answer: ______________ Answer: ______________ G.SRT.8 Learning Target: I can solve realworld problems with Pythagorean Theorem and trig ratios. 14) In the figure below, the distance from point R on the ground to a point P at the base of a cliff is 28 meters. If the measure of P = 74, what would be the approximate height of the cliff? 17) ABC DFH . If the sin A = 0.6 and DH = 4, what is the length of FH? A Q F h P 74 D B H C R 28 m Answer: ______________ Answer: ______________ Geometry 2 – Trigonometry Test Review 18) A baseball diamond is a square with a side length of 80ft. How far is the throw from home plate to second base? (Round to the nearest foot.) Answer: ______________