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Angle of Elevation Word Problems (AOEWP) Draw a Diagram, Write an Equation, Solve, and Put Your Answer in a Complete Sentence

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Angle of Elevation Word Problems (AOEWP) Draw a Diagram, Write an Equation, Solve, and Put Your Answer in a Complete Sentence Geometry Homework ©d \2g0b1n5a KK`uutxaL _SeoVf`tFwuabrGec eLMLlCH.r z GAYlRlU crfisgIhxtfsR VrNeNsGeKrvvZe`d]. Angle of Elevation Word Problems (AOEWP) Draw a diagram, write an equation, solve, and put your answer in a complete sentence. Round all answers to the nearest tenth or nearest degree. 1) A boat is 600 metres from the base of a cliff. Erika, who is sitting in the boat, notices that the angle of elevation to the top of the cliff is 32°. How high is the cliff? 2) Dash sees a rocket at an angle of elevation of 11 degrees. If Dash is located 5 miles from the rocket's launchpad, how high is the rocket? 3) A ramp is to be placed from a loading platform onto the back of a truck. The truck can get no closer 1 than 3 feet to the platform. The truck bed is 1 feet higher than the loading platform. Find the 2 angle of elevation from the platform to the truck bed. 4) A jet is flying at an altitude of 30,000 feet. An air traffic controller measures the angle of elevation to the plane to be 17°. Find the horizontal distance of the plane from the airport. 5) You are driving along a flat road approaching some mountains. As you pass a sign that informs ou that the mountain is 4 miles away, the angle of elevation to the highest peak you can see is 2°. What is the height of the peak? 6) Ashleigh went to Cape Canaveral to watch the space shuttle take off. The solid rocket boosters are ejected after the shuttle passses through the threshold of space. This is scheduled to accur when the shuttle reaches a height of 354,200 feet. If Ashleigh is 10 miles from the launchpad, at what angle will she have to look up to see the boosters ejected? 7) The height of a building is 250 feet. What is the angle of elevation from a point on the level ground 200 feet away from the building? 8) A 10 metre ladder is leaning against the side of a building. If the bottom of the ladder is 3 metres from the bottom of the building, find the angle of elevation the ladder makes with the building. 9) A kite string is 200 metres long. Find the height of the kite if the string makes an angle of 38° with the ground. 10) Cyndie is in a boat. The angle of elevation to the top of the cliff is 26°. If the cliff is 300 metres high, how far away from the base of the cliff is the boat? 11) A plane is flying at 6,000 metres. Erika sees the plane. If the angle of elevation from Erika's feet to the plane is 16°, how far is Erika from the plane? Worksheet by Kuta Software LLC ©l v2K0f1W5E SKhuptIau MSvoKfwtzwBakrreC SLfLiCa.x T VAJlWll BryiKgbhJtPsl IraexsDeOrUvSead-a1.b -m OMjaTdCek uwJistthf RI`nFfMiynmi]tPeJ NGoeCofmfeJt\rVye. 12) The angle of elevation from the bottom of the lift to the top of Snow Bowl is 33°. If a skier rides 1,000 feet on this lift to the top, what is the vertical distance between the bottom of the lift and the top? 13) How far from the vertical wall of a building is the base of a 30 foot ladder which makes a 75° angle with the ground? 14) The angle of elevation from an aircraft carrier to an approaching plane is 52°. If the plane is 700 feet above the level of the deck of the carrier, how far away is the carrier? 15) Kimi's kite has a string 40 feet long and is flying 27 feet above the ground. Find the angle of elevation of the kite. 16) An airplane passes directly over Crownpoint High School. A student at Crownpoin High School, which is 4.3 miles away, find the angle of elevation to be 19°. Find the altitude of the plane. 17) Jenn wants to measure the height of a tree. She walks exactly 125 feet from the base of the tree and looks up. The angle from the ground to the top of the tree is 33°. How tall is the tree? 18) A building is 50 feet high. At a distance away from the building, Erika notices that the angle of elevation to the top of the building is 41°. How far is Erika from the base of the building? 19) An airplane is flying at a height of 2 miles above the ground. The distance along the ground from the airplane to the airport is 5 miles. What is the angle of elevation from the airport to the airplane? 20) A bird sites on top of a telephone pole. Kimi is 40 feet from the base of the pole. If the angle of elevation from Kimi's feet to the top of the telephone pole is 28°, what is the height of the telephone pole? 21) A tree casts a shadow 21 metres long. The angle of elevation of the sun is 51°. What is the height of the tree? 22) You are flying a kite and have let out 80 m of string. The kite’s angle of elevation with the ground is 40°. If the string is stretched straight, how high is the kite above the ground? 23) A helicopter is hovering over a landing pad 100 metres from where you are standing. The helicopter’s angle of elevation with the ground is 12°. What is the altitude of the helicopter? 24) A 15 metre pole is leaning against a wall. The foot of the pole is 10 metres from the wall. Find the angle the pole makes with the ground. Worksheet by Kuta Software LLC ©\ t2t0e1M5\ CK^uFtjaK bSco^fKtTwNavrqeA RLcLyCB.z o aAMldlF arkiMgyhJtZsM qr^eusAeervvaeAd-f.2p -Z JMBaDdreg nwQiMthhx QIEngf[isndiYt[ee ]GJehoSmxeEtfrGyz. 25) A wire reaches from the top of a 120 metre television transmitter tower to the ground. The wire makes a 63° angle with the ground. Find the length of the wire. 26) An airplane climbs at an angle of 18° with the ground. Find the ground distance the plane travels as it moves 2500 metres through the air. 27) A wooden beam 24 feet long leans against a wall and makes an angle of 71° with the ground. How high up the wall does the beam reach? 28) A wire attached to the top of a pole reaches a stake in the ground 20 feet from the foot of the pole and makes an angle of 58° with the ground. Find the length of the wire. 29) A surveyor is 100 metres from a bridge. The angle of elevation to the top of the bridge is 35°. Find the height of the bridge. 30) A ladder with its foot on a horizontal flat surface rests against a wall. It makes an angle of 30° with the horizontal. The foot of the ladder is 41 feet from the base of the wall. Find the height of the point where the ladder touches the wall. Worksheet by Kuta Software LLC ©R E2e0b1v5c wKfuMttaJ [SFoZfWtvwgaErHeX ]L[LLCU.T ` BAFlZl] lrSifgch_t[sk ProeosPeOrvvyemdB-.3i Q- TMAaVdJe\ HwbiEtFh` kIYnqfxihnHiRt`ek aG\eiopmoeStjrSyn. Answers to Angle of Elevation Word Problems (AOEWP) 1) The cliff is approximately 374.9 metres high. 3) The angle of elevation is approximately 27 degrees. 5) The peak is approximately .1 miles high. 7) The angle of elevation is approximately 20 degrees. 9) The kite is flying at an approximate height of 123.1 metres. 11) Erika is approximately 21,770.7 metres from the plane. 13) The base of the ladder is approximately 7.8 feet from the base of the building. 15) The angle of elevation of Kimi's kite is approximately 42 egrees. 17) The height of the tree is approximately 68.1 feet. 19) The angle of elevation from the airport to the plane is approximately 22 degrees. 21) The height of the tree is approximately 59.6 metres. 23) The altitude of the helicopter is approximately 470.4 metres. 25) The length of the wire is approximately 134.7 metres. 27) The beam reaches approximately 22.7 feet up the wall. 29) The height of the bridge is approximately 70.0 metres. Worksheet by Kuta Software LLC ©m `2H0y1b5t IKouztja[ oSAoPfptswsaurgeW nLnLvCE.e f JAblxlf _rkiygqhRtCsW nrOeus]eVr[vGeldq.K -I4 bM- KaXdOej kwKiEtUhn qIRnyfwiDnWiqtjev pGBeXoAmxestYrAyl..
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