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Triangle Skills to Solve Problems For each develop problem below, you must draw a picture and show your go away towards a solution. Solutions atomic number 18 given for each problem. Since these are real-life type problems, results should be decimal approximations as opposed to being in simplest radical form. You are allowed to use anything you know ab place trilateral similarity, right triangles and right triangle trigonometry. This assignment is a scholarship target and is required to pass this semester.P = Do these problems if you want a Proficient score for this learning target HP = Do Hess problems if you want a Highly Proficient score for this learning target A = All students are required to do these problems P 1) A soccer ball Is placed 10 feet away from the goal, which Is 8 feet high. You recoil the ball and it hits the crossbar along the make it of the goal. What is the angle of fosterage of your kick? (38. 70) P 2) If a soulfulness 5 Ft 10 inches noble casts a 7 Ft. 4 inch shadow, how long is a person who casts a shadow 6 Ft. 8 inches long? Put answer in feet and 4 inches) P 3) Michelle delivers books to drill libraries. Her truck has a sneak out ramp for unloading the books. The outperform of the ramp Is 3 feet to a higher place the ground. The ramp itself Is 5. 2 feet long. What is the swimming distance the ramp get aheades? Also, what Is the angle of tip of the ramp? (4. 25 Ft. 35. 20) A 4) An airplane is at an elevation of 35,000 Ft. When it begins its appeal to an aerodrome. Its angle of telephone line is 60. What is the horizontal distance between the plane and the airport? Also, what is the approximate air distance from the plane to the airport? 63 miles 63. 4 miles) P 5) Pete has a 15- blame ladder. The safety instructions recomm final stage he should restrain he groundwork of the ladder 6 feet from the home plate of the wall he will lean the ladder against. How high will the ladder reach on the wall? (13. 75 feet) A 6 ) A lighthouse shop steward observes that there Is a 30 angle of impression between the horizontal and the line of green goddess to a ship. If the keeper Is 19 cadences above the water, how distant Is the ship from shore? (362. 5 meters) opposite bank. (90 meters) HP 8) Mart is stand up 4 Ft. Behind a fence 6 Ft. 6 inches tall.When she looks oer the fence, she can Just see the top edge off edifice. She knows that the expression is 32 Ft. Inches behind the fence. Her eyes are 5 Ft. From the ground. How tall is the building? Give your answer to the nearest half-foot. (See diagram below) (18. 7 feet) A 9) A 25-foot ladder is placed against a building. The bottom of the ladder is 7 feet from the building. If the top of the ladder slips down 4 feet, how many a(prenominal) feet will the bottom sailing out? (slipped 8 feet) A 10) Driving through the mountains, Dale has to go up and over a high mountain pass.The road has a uniform incline for 7 miles to the top of the pass. Dale notices from a road sign that in the first mile he climbs 840 feet. What is the height of the mountain pass? (5280 feet = 1 mile). Also, how steep is the incline in degrees? (Answer in feet) (6510 Ft. 9. 20) HP 11) You want to course banner that is 29 Ft. Tall. You are thinking of hanging it outside from the ternion floor of your school, but pick up to measure to see if it will stop there. The trouble with measuring the direct distance is that there is a enormous 6 Ft. Tall crotch hair in the way at the base of the school building.You throw a 38 Ft. Long rope out the window to a friend on the ground. She walks away from the building until the take up is taught. Upon measuring, she finds the angle of elevation of the rope to be 700. Will the banner pop off on the wall and be completely above the bush? How such(prenominal) space will there be between the top of the bush and the bottom of the banner? (Banner will fit with . 7 off foot to spare) HP 12) Chris is mailing his fri end a poster that has been rolling up in a long tube. He has a box that measures 20 inches by 8 inches by 4 inches. What is the maximum length the rolled poster can be? Where you label the dimensions on your drawing on the box wont affect your answer) (21. 7 inches) HP 13) Elena is standing on a plateau that is 800 Ft. higher up a basin where she can see two hikers. The angle of depression from her line of sight to the first hiker is 250 and to the gage hiker is 150. How far apart are the two hikers? (1270 feet) HP 14) The look and back walls of an A-frame cabin are isosceles triangles, each with a base 10 m and sides of 13 m. The entire front wall is make of glass that toll $120/mm. What did the glass for the front wall cost? $7200) angle of elevation of the sun was 550, the length of the shadow cast by this flag back as 210 Ft. Find the height of the flagpole to the nearest foot. Also, what was the length of the shadow when the angle of elevation of the sun was 340? (300 fee t 444. 8 feet) A 16) international rules of basketball state the rim should be 3. 05 meters above the ground. If your line of sight to the rim is 340 and you are 1. 7 meters tall, what is the horizontal distance from you to the rim? (2 meters) P 17) Eagleburger is 17 miles south of Linebacker, and Linebacker is 5 miles west of Pueblo.Carson lives nine miles marriage of Linebacker. How many miles will Carson eave to drive altogether from his home to Eagleburger if he loot in Pueblo on the way? (Make sure he goes the shortest distances possible) (28 miles) P 18) A student looks out of a second-story school window and sees the top of the school flagpole at an angle of elevation of 220. The student is 18 Ft. Above the ground and 50 Ft. From the flagpole. Find the height of the flagpole. (38. 2 Ft. ) HP 19) You need to add 5 supports under the ramp, in addition to the 3. 6 meter one so that they are all equally spaced. You should have half a dozen supports in all.How long should each support be? Also, what is the angle of descent of the ramp? (220) A 20) A 17-foot wire connects the top of a 28-foot pole to the top of a pole. What is the shortest length of wire that you could use to attach the top of the short pole to the bottom of the tall pole? (25 feet) A 21) Juanita, who is 1. 82 meters tall, wants to find the height off tree in her backyard. From the trees base, she walks 12. 20 meters along the trees shadow to a position where the end of her shadow exactly overlaps the end of the trees shadow. She is now 6. 1 meters from the end of the shadows.How tall is the tree? 5. 46 meters) HP 22) A giant California redwood tree 36 meters tall cracked in a violent storm and fell as if hinged. The tip of the tree hit the ground 24 meters from the base. Researchers wished to investigate the crack. How many meters up from the base of the tree would they have to climb? (10 feet) HP 23) George is tone out from a window 30 feet above the street. The angle of elevation is 5 00 to the top off building across the street. The angle of depression to the base of the same building is 200. Find the height of the building across the street. (128. 2 Ft)