Dora is exploring a cave. She starts at the entrance and makes the following straight line movements: 68 m, south 112m, 25° north of west (155° CCW) 34 m, south 182 m, 17° south of east (343° CCW) Determine Dora's position relative to the entrance of the cave. That is, how far and in what direction is Dora from the cave entrance

Q: Two racing boats set out from the same dock and speed away at the same constant speed of 85.5 km/h…

A: Given Constant speed of the two boats is given as v=85.5 km/h Time of travels is t=0.500 h Angles…

Q: If you walk 24 m in a direction exactly 35° west of north and then you walk 11.5 m in a direction…

A:

Q: Starting in Albany, you travel a distance 427 miles in a direction 38.0 degrees north of west. Then,…

A: From Albany,displacement = 427 miles in 38 degrees north of westHorizontal component = 427 cos( 38)…

Q: Transcribed image text: 1. A small plane takes off from the island of Pango and flies for 90.0…

A: Given,1. Flight from Pango to Tango:- Time: 90.0 minutes = 1.5 hours- Speed: 250 MPH- Direction: 15…

Q: John is walking around cam alks 1.45 km west. Finally, Jc - What is the magnitude and

A: The John walks 2.4 km north  I'm then making a left turn and walking 1.45 km west. John makes a…

Q: Suppose you walk 15 m in a direction exactly 23° south of west then you walk 19.5 m in a direction…

A:

Q: While exploring a cave, a speleologist starts at the entrance and moves the following distances in a…

A: A speleologist start at the entrance and moves 75.0 m north, 290.0 m east, 125.0 m at the an angle…

Q: A plane flies 139.8 miles 53.00 degrees north of east. Then it flies 358.5 miles 12.00 degrees west…

A:

Q: You are driving into St. Louis, Missouri, and in the distance you see the famous Gateway-to-the-West…

A:

Q: A car starts from the origin and is driven 1.25 km south, then 8.75 km in a direction 57° north of…

A: Given value--- firstly driven 1.25 km south, then 8.75 km in a direction 57° north of east. We…

Q: Two geological field teams are working in a remote area. A global positioning system (GPS) tracker…

A:

Q: A high-tech drone flies over Miami, FL in a direction 57.3° west of north with a speed of 34.6 km/h.…

A:

Q: A person walks 15.0° north of east for 3.60 km. How far due north and how far due east would she…

A:

Q: A duck swims 4 m northeast, 3 m 60 degrees, and 5 m at 20 degrees north of west. How far is the…

A: Displacement vector = 4(cos45°i + Sin45°j) + 3(-cos60°i + Sin60°j) + 5(-Cos20°i + Sin20°j)  = (-…

Q: A surveyor measures the distance across a straight river by the following method. Starting directly…

A: Consider a right angled triangle. Here, tan theta is the ratio of opposite side to the adjacent side…

Q: A person walks 35° south of west for 4.56 km. How far due west and how far due south does the person…

A:

Q: Instructions for finding buried treasure include the following: Go 71.0 paces at 256 degrees, turn…

A:

Q: wonderful hospital nurse on her first day of the job is checking on a variety of patients. Consider…

A: first leg of displacement = 100 m in a direction 37 degree north of east second leg of displacement…

Q: You are driving into St. Louis, Missouri, and in the distance you see the famous Gateway-to-the-West…

A:

Q: A map suggests that Atlanta is d, = 729 mi in a direction of 0, = 4.95° north of east from Dallas.…

A: Determine the x- and y-components of the displacement d as follows.

Q: An airplane flies 200 km due west from city A to city B and then 340 km in the direction of 31.0°…

A: Given: An airplane flies 200 km due west from A to B. Again it flies 340 km in the direction of 31°…

Q: Starting at a tree in a flat pasture you walk 20.0 m due south and then 40.0 m in a direction of…

A:

Q: Isabel walks 32 meters due south,then 48 meters due west and finally 52 meters due north. How far is…

A:

Q: A person walks 29.0° north of east for 2.40 km. How far due north and how far due east would she…

A: Displacement of person = 2.40 km in a direction 29o north of east

Q: spelunker is surveying a cave. She follows a pas- sage 180 m straight west, then 210 m in a…

A:

Q: Acos = x Asin = y why is it in this problem there is the presence of sin in x and cos in y?…

A: Given, A spelunker is surveying a cave. She follows a passage 180 m straight west, then 210 m in a…

Q: A plane takes off from an airport and flies to town A, located d₁ = 260 km from the airport in the…

A:

Q: Which of the following equations would give the y-component of vector W with magnitude of 981N,…

A: Y component of a vector = A sinθ

Q: A plane leaves Denver and travels 239 miles bearing N77 degrees W, then makes a course correction…

A:

Q: You go on a hike with some friends. First, you travel 1.7 miles in a direction due west. Then, you…

A:

Q: -Problem 6: _Suppose you walk 14.5 m in a direction exactly 16° south of west then you walk 22.5 m…

A:

Q: A person walks 15.0° north of east for 3.60 km. How far due north and how far due east would she…

A: Given that,Magnitude of displacement : d = 3.6 (km)Direction of displacement : θ = 15° (North of…

Q: To get out of the harbor, a container ship sails at a bearing of 240° for 6 km before changing…

A: In this problem we will treat the two displacements as vectors.  resolve them into their respective…

Q: Suppose you walk 25.5m in a direction exactly 36° west of north and then walk 15 m in a direction…

A:

Q: Solve the following problem using analytical techniques: suppose you walk 15.0 m straight west and…

A:

Q: A hiker begins from base camp by walking 2.5 km at an angle 41.8 degrees north of east. At this…

A: given, A=2.5 km @41.80 north of eastB=3.5 km @ 45.60 west of north

Q: A spelunker is surveying a cave. She follows a passage 180 m straight west, and then 210 m in a…

A:

Q: You walk 200 feet west and 100 feet north to bury your treasure chest. But when you return to dig it…

A: The angle with respect to north is, ϕ=tan-1xy=tan-1200 ft100 ft=63.4o