Consider the following scenario, applications of trigonometry: Starting from an airport, an airplane flies 225 miles northwest, then 150 miles south-west. Collaborate with your peers to answer the following: Draw a graph or figure to represent this situation.
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Consider the following scenario, applications of trigonometry:
Starting from an airport, an airplane flies 225 miles northwest, then 150 miles south-west.
Collaborate with your peers to answer the following:
- Draw a graph or figure to represent this situation.
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- Use your knowledge of bearing, heading, and true course to sketch a diagram that will help you solve the problem.A plane is flying with an airspeed of 140 miles per hour and heading 150°. The wind currents are running at 30 miles per hour at 175° clockwise from due north. Use vectors to find the true course and ground speed of the plane. (Round your answers to the nearest ten for the speed and to the nearest whole number for the angle.)mi/hr with heading °A fence is built in the shape shown by the figure. The fence encloses a square area of side s plus a semi-circular area. The area of the figure can be expressed as some numerical factor times 32. Type in the numerical factor with 3 digits. Exception: if the first digit of the numerical factor is 1, include 4 digits on your answer.A plane leaves Denver and travels 239 miles bearing N77 degrees W, then makes a course correction and travels N33 degrees W for 95 miles. How many miles north of Denver did they travel (round to two decimal places)?
- You go on a hike with some friends. First, you travel 1.7 miles in a direction due west. Then, you spend some time checking Twitter and not paying attention to where you're walking. Once you look back up from your phone, you are at a ranger station that is 2.1 miles in a direction 27 degrees west of north from your starting point. How far, and in what direction, did you travel while checking Twitter?A surveyor measures the distance across a straight river by the following method: Starting directly across from a tree on the opposite bank, he walks x- 110 m along the riverbank to establish a baseline. Then he sights across to the tree. The angle from his baseline to the tree is 0 = 31.2°. How wide is the river? y =As an architect, you are designing a new house. A window has a height between 130 cm and 140 cm and a width between 64 cm and 60 cm. What is the largest area that the window could be?
- Solve the following problem using analytical techniques: suppose you walk 15.0 m straight west and then 26.5 m straight north. How far are you from your starting point and what is the compass direction of a line connecting your starting point to your final position ? Give the direction in degrees north of west. (Magnitude and direction )Pls help ASAPA spelunker is surveying a cave. She follows a passage 160 m straight west, then 230 m in a direction 45 degree east of south, and then 280 mm at 30 degree east of north. After a fourth unmeasured displacement, she finds herself back where she started. Part a)Use a scale drawing to determine the magnitude of the fourth displacement. Express your answer using two significant figures. Part B)Determine the direction of the fourth displacement. Express your answer using two significant figures
- A team is exploring a tresure. They start at the entrance of a national park and makes the following straight line movements: 68 m, north, 50 m, 25° north of west (155° CCW) 34 m, west 42 m, 17° south of east (343° CCW) Determine their position relative to the entrance of the national park. Can this be explained with a lot of detail in irder to understand.Given the vector techniques you worked on in the lab, answer the follow question: suppose you first walk 12 m in a direction 20° west of north, then 20 m in a direction 40° south of west, then 14 m in a direction 30° east of north, and finally 19 m in a direction 40° east of south. How far are you (as the crow flies) from your starting point, and what is the compass direction (west of south) of a line connecting your starting point to your final position?The vector A has a magnitude of 4.0 meters and points in the -x direction. The vector B has a magnitude of 3.0 meters and points in the +y direction. Vector C is defined so that C - A + B = 0. What is the magnitude and direction of vector C? Give your answers to 2 significant figures.