Unit 7 Trigonometry Test #1 Review

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Secondary Math 3 Name x 2^0Y1T9l NKYu]tga\ gsgovfztywdamr]e _LYLrg.n j HDlRls TrgiUgMhntvsZ TryedsUearbverdz. Unit 7 Trigonometry Test #1 Review Find the value of the trig function indicated. Date Period 1) cos 15 2) sin 3 23 9 16 3) tan 12 20 4) sec 14 7 13 Find the value of each. Round your answers to the nearest ten-thousandth. 5) tan 80 6) cos 25 7) csc 46 8) sec 27 9) cot 10 Find the measure of each angle indicated. Using right triangle trigonometry. Round to the nearest tenth. 10) 8 4 E Q2y0`1Y9G VKNuXtZak asdoufztowgaer[er LLcLHF.f T ZQlFlz _rviogshtttsr DrkelsxeTrXvseNd.b d emiadueu wviptjhy I`nsfQipnzibtEeu zplsgxerbgrao i2d. -1- Worksheet by Kuta Software LL

Find the measure of each side indicated. Using right triangle trigonometry. Round to the nearest tenth. 11) 12) x 4 22 31 3.3 x Solve each triangle (use right triangle trigonometry). Round answers to the nearest tenth. 13) 14) 5 48 42 4.9 15) 59 12 t W2_0i1X9N WKauZtjaL osofhtpwnaqrxe_ LLzLbJ.a J NlNlp IrfimgShPtOsS QrHeDslerwvLeQdp._ K kmsaxdhee ywliutehn IcnyfDijniytieF HUlgDeTbsrma D2l. -2- Worksheet by Kuta Software LL

Find the area of each triangle to the nearest tenth. 16) P 17) In RST, s = 14 km, m R = 73, t = 11 km 13 m H 78 12.9 m K Find each measurement indicated. Round your answers to the nearest tenth. Use the Law of Sines. 18) Find m 19) Find 21 cm 41 13 cm 30 35 cm 61 20) Find 63 75 9 in M s2f0v1s9s YKQu_tZad `Soouftxwaarve` ulmli.s P Vvltlk iroirgghmt^s_ YrkeLsneOrRvHedT.H n cmwagdwem wwzictahb viznmfki^nvift_ej ljligielbkrwa] v2i. -3- Worksheet by Kuta Software LL

Find each measurement indicated. Round your answers to the nearest tenth. Use the Law of osines. 21) Find 22) Find 25 mi 126 11 mi 25 m 87 30 m 23) Find m 24) Find m 30 cm 25 cm 28 cm 29 m 21 m 13 m z2f0u1p9y akouthah USboTfOtdwraGrreI wltlcv. f VhlTls Gr]igkhNtesK srgenstecr]vekdh.s k RMQaQdHeH SwciRtwhw Ibn[fnisn]ijtken PHlVgGeHbPrSap 2O. -4- Worksheet by Kuta Software LL

Solve each triangle. Round your answers to the nearest tenth. 25) 26) 25 yd 129 15 yd 7 in 9 in 55 27) 14 m 9 m 6 m b 2L0[1v9G WKFuTtTan VSKoNfdtmwKa\rke` \LELs.E l nolwls VrDiWgDh]tHsG VrEedsQe]rkv_eFd.v J pmkafdzee Xwhitah _IInTf]ignuiGtMeD OElggheRberiaW r2c. -5- Worksheet by Kuta Software LL

Solve each of the following stories. e sure to define your variable, draw a picture, and show your work. 28) Mikey is looking up at John who is on the top of the cliff. The angle of elevation from Mikey to John is 28. The cliff is 25 feet tall. How far away from the bottom of the cliff is Mikey to the nearest tenth? 29) To find the distance between two small towns, Moroni and Wales, an electronic distance measuring instrument is placed on a hill from which both towns are visible. The instrument measured the distance to Moroni as 4.1 miles and the distance to Wales at 4.5 miles. The angle between the two lines of sight is 37. What is the distance between the two towns to the nearest tenth? 30) When you plant a tree, you need to support it against the wind. You do this by tying rope to the tree and staking it to the ground. You then tie another rope to the tree at the same spot, but stake it to the ground on the opposite side of the first stake. The stakes are 11 feet apart. If the angle of elevation from the ground to the where the rope is tied to the tree is 32 and 56, how far up the tree are the ropes? z2p0y1o9d bkxuctaaj QSPoEftXwaMrSeW mlmljm. P \elflx rkiqgphatds vrue\sebrgvlebdf.o T VMbahd\eD KwXiDtHhG SIFnEf^iJnii[tjeM Vullg[eNb_rWaZ 2O. -6- Worksheet by Kuta Software LL