# Cameron is located 2 miles due East of an intersection between two country roads. He decides to walk in a straight line (cross-country) toward a position 3 miles due North of the intersection; it takes Cameron one hour to reach that location

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### Math

Cameron is located 2 miles due East of an intersection between two country roads. He decides to walk in a straight line (cross-country) toward a position 3 miles due North of the intersection; it takes Cameron one hour to reach that location. (a) Find parametric equations for ...

### AP CALC

Two roads intersect at right angles. At a certain moment, one bicyclist is 8 miles due NORTH of the intersection traveling TOWARDS the intersection at a rate of 16 miles/hour. A second bicyclist is 10 miles due WEST of the intersection traveling AWAY from the intersection at ...

### math

joe walked 4 miles north, 9 miles east then 8 miles north and 7 miles east if Al decides to walk straight back to where he started how far must he walk?

### Math

A man walks 3 miles due east, then 4 miles due north, then five miles due east. How far is he from his starting point?

### math

on a drive through allegheny county,natalie drove due west for 9 miles,then turned left and proceeded to drive due south.after traveling 12 miles south,what was the straight 12 miles line distance between where natalie startd and where she ended her drive? 1] 13 miles 2] 14 ...

### Math

Two cyclists leave from an intersection at the same time. One travels due north at a speed of 18mph, and the other travels due east at 24mph. how long until the distance between them is 150 miles?

### Calculuss--Optimization

At t=0, ship A is 12 miles due north of ship B. Ship A travels 12 miles/hour due south, while ship B travels 8 miles/hour due east. a. Write a function for the distance between the two ships. b. At what time are the two ships closest?

### Optimization--PLEASE HELP!!!

At t=0, ship A is 12 miles due north of ship B. Ship A travels 12 miles/hour due south, while ship B travels 8 miles/hour due east. a. Write a function for the distance between the two ships. b. At what time are the two ships closest?

### Physics

Sarah walks 5 miles 35 degrees north of east, and then decides to walk 6 miles due west. What is her final displacement? I drew it out, used the Pythagorean theorem and ended up with square root -11 which is obviously wrong. I'm really confused as to what to do with the angle ...

### algebra

Please help me anybody Abby Garland is parked at a mile marker on an east -west country road.She decides to toss a fair coin 10 times ,each time driving 1 mile east if it lands heads up and 1 mile west if it lands up tails up. The term random walk applies to this process even ...

### math

a bird flies due north 2 miles then east 3 miles then north 4 miles then east 5 miles how far is the nest from the ocean

### Math

A boat travels 74 miles on a course with direction 34 degrees and then changes its course to travel 58 miles at 53 degrees. How far north and how far east has the boat traveled on its 132-mile trip? A 87.7 miles east and 44.3 miles north B 35.7 miles east and 96.3 miles north ...

### Geography--Need this ASAP Please

What countries could these be? I reallyy need help with this; it has to be done by tonight! 1. Country A= 'Shaped like an S, tropical rain forest, very populous, facing the South China Sea.' 2. Country B= 'A wet land bordered by mountains on west, north, and east; located ...

### Math

Hello, I'm not sure how to go about this question. To get to work on the first day, Jose has the following directions. Travel 15 miles due East. Turn right and travel 12 miles due south. Turn right again and travel 10 miles due West. If Jose could travel in a straight line ...

### calculas maths

.Two hikers begin at the same location and walk in perpendicular directions. Hiker A travels due north at a rate of 3 miles per hour; Hiker B travels due east at a rate of 5 miles per hour. At what rate is the distance between the two hikers changing 4 hours into the hike?

### Precalc

Water is flowing from a major broken water main at the intersection of two streets. The resulting puddle of water is circular and the radius r of the puddle is given by the equation r = 5t feet, where t represents time in seconds elapsed since the the main broke. (a) When the ...

### Math

A surfer drives his dune buggy out into the sand dunes.He follows his compass 10 miles due north and then turns due west. If he ends up approximately 35 miles from where he started how far west did he travel? a- 10 miles b- 25 miles c- 33.5 miles d- 35 miles My answer is c 33....

### math

Isaiah walks 3 miles due north, turns and then 5 miles due east. How far is he from his starting point?

### twh

Isaiah walks 3 miles due north, turns and then 5 miles due east. How far is he from his starting point?

### Algebra 1--Please, help me! (Steve)

Mulitiply. Simplify your answer. 1. 3r^2t/6st^3 x 2r^2s^3t^2/8r^4s^2 Add or subtract. Simplify your answer. 2. x^2 + x/x^2 + 3x + 2 + 3/x + 2 3. The Escobar family went on a car trip. They drove 100 miles on country roads and 240 miles on the highway. They drove 50% faster on ...

### Geography

Where on Earth: Country A is described as "shaped like an S, tropical rain forest, very populous, facing the South China Sea." -First I said Indonesia, and it was wrong.I'm pretty sure it's Vietnam Country B earns this note: "a wet land bordered by mountains on west, north, ...

### Calculus

Suppose that two boats leave a dock at different times. One heads due north, the other due east. Find the rate at which the distance between the boats is changing when the first boat is 56 miles from the dock traveling at a speed of 35 miles per hour and the second boat is 20 ...

### Math

Can someone please go over the steps to solve this problem? I know I need to find where the tugboat intersects the radar but I'm not sure exactly how to do this. A radar buoy detects any boats within a radius of 12 miles. A tugboat starts at a location 18 miles SOUTH and 10 ...

### 8th grade Algebra

Sharon and her camping group hiked 6 miles due north, stopped for lunch, and then hiked 8 miles due west, stopping at ther campsite for the night. What is the straight line distance from their original starting place to the campsite?

### math

one day a sailor was sailing 32 miles from the shore. he then went 22 miles east then 67 miles north. How far did he travel straight? a) 92 miles b)29 miles c) 362 miles** d) none of these

### FREE BODY DIAGRAM calculus

A car is traveling north towards an intersection at 60mph at the same time a truck is headed east toward the same intersection at 45mph. Find the rate of change of the distance between the car and truck when the car is 3 miles south of the intersection and the truck is 4 miles...

### Math

Pam is taking train from the town of Rome to the town of Florence. Rome is located 30 miles due West of the town of Paris. Florence is 25 miles East, and 45 mies North of Rome. On her trip, how close does Pam get to Paris? My work so far... She's in Rome due West, so would ...

### math

Anita hikes 7 miles due east and then 3 miles due north. Rounded to the nearest mile, what is the shortest distance from the starting point to the ending point? A.4 B.6 C.8 D.10 Is the answer D?

### physics

You are walking along Main street one afternoon. At 1 PM you are 50 meters east of the intersection of Main and Elm streets. You walk due east for 30 seconds, ending up 80 meters east of the intersection of Main and Elm. You then make a left turn and walk due north for 30 ...

### math

Helicopter A is flying due north toward a landing point 10 miles away. Helicopter B is 11 miles due east of helicopter A. About how far is helicopter B from the landing point?

### physics

Two separate seismograph stations receive indication of an earthquake in the form of a wave traveling to them in a straight line from the epicenter and shaking the ground at their locations. Station B is 60 due east of station A. The epicenter is located due north of station A...

### 8th grade Math help

PLEASE HELP!!! Anita hikes 7 miles due east and then 3 miles due north. Rounded to the nearest mile, what is the shortest distance from the starting point to the ending point? A. 4 B. 6 C. 8 D. 10 I think it's B. am i right?

### applied physics

an airplane is heading due west at a velocity of 500 miles/hr. There is a cross wind due North at a velocity of 50 miles/hr. find the airplanes velocity relative to the ground (magnitude and direction)

### Physics

an automobile travels 3 miles due north then 5 miles north of east. what is your resultant displacement?

### Math 9

2 planes leave the airport at the same time. Minutes later plane A is 70 miles due north of the airport. Plane B is 168 miles due East of the airport. How far apart are the 2 airplanes. ? I think 98 miles apart. Is that right?

### math

Two planes depart from the same airport at the same time. One hour later one of the planes is 480 miles due north of the airport and the other plane is 550 miles due east of the airport. At that time, what is the distance between the two planes?

### calculus

One bicycle is east of an intersection , and it is travelling towards the intersection of 9 miles per hour. at the same time a second bicycle is south of the intersection , and it is travelling away from the intersection at the rate of 10 miles per hour. Is the distance ...

### physics

you walk north for 2.5 miles. Then you walk east a distance of 3 miles. How many miles from the starting point are you?

### Science

On June 21, where will the Sun appear to rise for an observer located in New York State? a. due west b. due east c. north of die east d. south of due east I just know it can't be a..

### trig

a ship has maintained a bearing of 47 degrees. ( a bearing is the angle measured clockwise from due north) a) how far has the ship sailed if it is 200 miles north of its original position? b) how far east of its original position is the ship? c) if the ship's average speed is ...

### physics

On a safari, a team of naturalists sets out toward a research station located 5.54 km away in a direction 47.9 ° north of east. After traveling in a straight line for 1.29 km, they stop and discover that they have been traveling 24.6 ° north of east, because their guide ...

### Physics

Two bicyclists, starting at the same place, are riding toward the same campground by two different routes. One cyclist rides 1490 m due east and then turns due north and travels another 1430 m before reaching the campground. The second cyclist starts out by heading due north ...

### math

A man cycles 5 miles due north and 12 miles due east. a. what is the distance traveled by the man? b. what is displacement of the man?

### Physics

I need major help with this please!!! On a safari, a team of naturalists sets out toward a research station located 6.9 km away in a direction 42° north of east. After traveling in a straight line for 2.1 km, they stop and discover that they have been traveling 22° north of ...

### Math Pythagorean

A hiker goes 3 miles north, 2 miles east, one mile south, 4 miles east and then 2 miles north. After an injury, he sends his coordinates to a helicopter rescue team. If the helicopter starts at the same place as the hiker did, and it flew in a straight path to the hikers ...

### Physics

On a safari, a team of naturalists sets out toward a research station located 4.0 km away in a direction 42° north of east. After traveling in a straight line for 2.3 km, they stop and discover that they have been traveling 30° north of east, because their guide misread his ...

### Algabra 2

An airplane cruises northeast at a steady rate. Its speed can be broken down into two components:320 miles per hour due north and 40 milers per hour due north be the direction of the positive y-axis and let due east be the direction of the positive x-axis. Write parametric ...

### Calc

Two commercial airplanes are flying at an altitude of 40,000 ft along straight-line courses that intersect at right angles. Plane A is approaching the intersection point at a speed of 427 knots (nautical miles per hour; a nautical mile is 2000 yd or 6000 ft.) Plane B is ...

### Calc

Two commercial airplanes are flying at an altitude of 40,000 ft along straight-line courses that intersect at right angles. Plane A is approaching the intersection point at a speed of 427 knots (nautical miles per hour; a nautical mile is 2000 yd or 6000 ft.) Plane B is ...

### precalculus

Gloria is planning to ride her bicycle near the transmitter of a radio station. She will be riding from a point 10 miles due east of the transmitter on a straight road to a point 40 miles west and 10 miles north of the transmitter. She has a radio on her bicycle which can pick...

### math

A ship sails due north from a position 5 degrees, 28' South Latitude to position 6 degrees, 43' North Latitude. Given that one minute of latitude is equivalent to 1 nautical mile, the ship has sailed a distance of A. 75 nautical miles B. 371 nautical miles C. 731 nautical ...

### math

A lawyer drives from her home, located 6 miles east and 10 miles north of the town courthouse, to her office, located 4 miles west and 14 miles south of the courthouse. Find the distance between the lawyer's home and her office. I know the answer is 26 miles but I cannot ...

### Physics.. please help!!!!!

A person walks 28.2◦ north of east for 3.33 km. Another person walks due north, then due east to arrive at the same location. How far due north would this person walk? How far would this person walk due east?

### Math

If Jack's house is 7.1 miles due north of the Senior Citizen Center and Belinda's house is 6.3 miles due west of it, then to the nearest tenth,what is the shortest distance between their houses?

### math help

on a drive through allegheny county, natalie drove due west for 9 miles, then turned left and proceeded to drive due south. after traveling 12 miles south, what was the straight line distance between where natalie started and where she ended her drive?

### calculus

Two commercial airplanes are flying at an altitude of 40,000 ft along straight-line courses that intersect at right angles. Plane A is approaching the intersection point at a speed of 429 knots (nautical miles per hour; a nautical mile is 2000 yd or 6000 ft.) Plane B is ...

### Story Problem

Ann drove 8 miles east, 4 miles south, 3 miles east, 6 miles north, 7 miles west, and 5 miles south. How many miles, in each of the compass directions, is she now from her starting point?

### Math

Two vans leave a parking lot at the exact same time. A few minutes later, car 1 is 8 miles due east of the parking lot and car 2 is 15 miles due south of the lot. How far a part are the two cars in miles?

### math

a small plane sitting on a runway 5 miles west and 2 miles north of town is scheduled to fly to a second runway 17 miles east and 25 miles north of the same town. to the nearest mile, what is the distance between the two runways

### physics

Two bicyclists, starting at the same place, are riding toward the same campground by two different routes. One cyclist rides 1500 m due east and then turns due north and travels another 1430 m before reaching the campground. The second cyclist starts out by heading due north ...

### PHYSICS-HELP!!

Two bicyclists, starting at the same place, are riding toward the same campground by two different routes. One cyclist rides 1500 m due east and then turns due north and travels another 1430 m before reaching the campground. The second cyclist starts out by heading due north ...

### physics

A person walks 28.8 degrees north of east for 2.06 km. Another person walks due north, then due east to arrive at the same location. How far due north would this person walk? Answer in units of km work: 2.06sin28.8??? Don't know where to go

### Physics

Jerry bicycles from his dorm to the local fitness center: 3.06 miles east and 2.07 miles north. Cindy's apartment is located 1.5 miles west of Jerry's dorm. If Cindy is able to meet Jerry at the fitness center by bicycling in a straight line, what is the length and direction ...

### Physics

On a safari, a team of naturalists sets out toward a research station located 6.3 km away in a direction 42° north of east. After traveling in a straight line for 2.2 km, they stop and discover that they have been traveling 23° north of east, because their guide misread his ...

### Math

If Betsy leaves Town A traveling due east for 6 miles to Town B, then turns due north and travels 9 miles to Town C, how far will her trip home be to Town A as she travels directly southwest?

### Math

If Betsy leaves Town A traveling due east for 6 miles to Town B, then turns due north and travels 9 miles to Town C, how far will her trip home be to Town A as she travels directly southwest?

### Physics

A person walks 13.9◦ north of east for 2.51 km. Another person walks due north, then due east to arrive at the same location. How far due north would this person walk? How far due east would this person walk?

### Physics

A person walks 13.9◦ north of east for 2.51 km. Another person walks due north, then due east to arrive at the same location. How far due north would this person walk? How far due east would this person walk?

### Physics

A person walks 10.4 degrees north of east for 4.19km. Another person walks due north, then due east to arrive at the same location. How far due north would this person walk? Answer in units of km.

### PHYSICS

A person walks 10.4 degrees north of east for 4.19km. Another person walks due north, then due east to arrive at the same location. How far due north would this person walk? Answer in units of km.

### maths

a boat travel 5 miles due south and then 11 miles due east. how far is it from the starting point?

### Physics

A person walks 10.4 degrees north of east for 4.19 km. Another person walks due north, then due east to arrive at the same location. How far would this person walk due east? Answer in units of km

### PHYSICS

A person walks 10.4 degrees north of east for 4.19 km. Another person walks due north, then due east to arrive at the same location. How far would this person walk due east? Answer in units of km

### Calculus

A train is heading due west from St. Louis. At noon, a plane flying horizontally due north at a fixed altitude of 4 miles passes directly over the train. When the train has traveled another 5 miles and is going 500 mph. At that moment, how fast is the distance between the ...

### PHYSICS

A person walks 11.2 ◦ north of east for 4.06 km. Another person walks due north, then due east to arrive at the same location. How far due north would this person walk? Answer in units of km

### Physics

a cross country runner runs 3km due east, 5km due south and 8km south west. what is the runners final displacement?

### college geometry

The distance between Sue and a dude ranch was 30 miles straight accross a rattlesnake-infested canyon. Instead of crossing the canyon, she hiked due north for a long time and then hiked due east for a ahorter leg of the journey to the ranch. If she averaged 4 mph and it took ...

### Spanish

This is on Costa Rica 1.Where is this country located ? South America or Central America The country is located in Central American. 2.In between which two countries is this country located? 3.What is the capital of this country?

### calcus

A car travels 6 miles north and then turns right and travels 8 miles east to reach the garage. What is the straight line distance between the starting point and the garage?

### Math

Solve the problem. Round to the nearest tenth, if necessary. A long-distance runner runs 5 miles directly south and then faces due east and runs another 7 miles. How far is the runner, in a straight line, from his starting point?

### math

You and a friend go biking. You bike 12 miles north and 2 miles east. What is the straight-line distance from your starting point? Round answer to the nearest hundredths

### physics

Two bicyclists, starting at the same place, are riding toward the same campground by two different routes. One cyclist rides 1500 m due east and then turns due north and travels another 1430 m before reaching the campground. The second cyclist starts out by heading due north ...

### Physics

A person walks 28.2◦ north of east for 3.33 km. Another person walks due north, then due east to arrive at the same location. How far due north would this person walk?

### calculus

Optimization At 1:00 PM ship A is 30 miles due south of ship B and is sailing north at a rate of 15mph. If ship B is sailing due west at a rate of 10mph, at what time will the distance between the two ships be minimal? will the come within 18 miles of each other? The answer is...

### Physics

PLEASE ANSWER ASAP!!!!!!!!!!!!!!!!!!!!!!! a cross country runner runs 3km due east, 5km due south and 8km south west. what is the runners final displacement?

### physics

Two bicyclists, starting at the same place, are riding toward the same campground by different routes. One cyclist rides 1040 m due east and then turns due north and travels another 1540 m before reaching the campground. The second cyclist starts out by heading due north for ...

### physics

Two bicyclists, starting at the same place, are riding toward the same campground by different routes. One cyclist rides 1120 m due east and then turns due north and travels another 1550 m before reaching the campground. The second cyclist starts out by heading due north for ...

### Math

In order to get to school carly must first take take a bus 12 miles due east. she then gets off that bus and take another bus 9 miles due north in order to reach the school building. if there were a single bus traveling northeast that could take directly to the school from ...

### Phys 2

I am having trouble figuring out this question: Part 1: A long staight wire carries a current due East. This wire creates, at point #1, a magnetic field that is derected at 40 deg below due South. From point #1, the wire is located: 50 deg below due North 50 deg below due ...

### Physics

I am having trouble figuring out this question: Part 1: A long staight wire carries a current due East. This wire creates, at point #1, a magnetic field that is derected at 40 deg below due South. From point #1, the wire is located: 50 deg below due North 50 deg below due ...

### Math

Evan is going for a walk in Central Park. He starts at the Southern end of the park and walk 3 miles North. He then turns to the right and walks 2 miles east. What is that shortest distance he can walk to get back where he started?

### Physics

PLEASE ANSWER ASAP!!!!!!!!!!!!!!!!!!!!!!! a cross country runner runs 3km due east, 5km due south and 8km south west. what is the runners final displacement and what direction?

### math

Fran works due north of home. Her husband Alan works due east. By the time Fran is 7 miles from home, the distance between them is one mile more than Alan's distance from home. How far from home is Alan? Miles Please and thank you in Advanced!!!

### calculus

At 9am, ship B was 65 miles due east of another ship, A. Ship B was then sailing due west at 10 miles per hour, and A was sailing due south at 15 miles per hour. If they continue their respective courses, when will they be nearest one another?

### CALCULUS!!!!!

At 9am, ship B was 65 miles due east of another ship, A. Ship B was then sailing due west at 10 miles per hour, and A was sailing due south at 15 miles per hour. If they continue their respective courses, when will they be nearest one another?

### Physics

To reach city A, you travel north for 2.00 hours covering 80.0 miles. You then turn due east and travel 45.0 minutes for another 20.0 miles to reach your destination. On the first leg of your trip (traveling north), what is your speed?

### Calc 1

Related Rates: Two cars approach the intersection of two highways. The one coming from the west is traveling at 60mph and the one traveling from north is traveling at 50 mph. At what rate is the distance between the cars changing when the car from the west is 3 miles from the ...

### math

a boat starts at point a p travels 15 miles due north to point r then turns due east and travels 8 more miles to the dock at point t find the distance the boat would have traveled if it had gone directly from point p to point t

### Physics

Two bicyclists, starting at the same place, are riding toward the same campground by different routes. One cyclist rides 1030 m due east and then turns due north and travels another 1480 m before reaching the campground. The second cyclist starts out by heading due north for ...