# Calc 3

Suppose you leave home and hike 10 miles due north, then 8 miles in the direction 40° east of north,
and then 6 miles due east.

(a) How far are you from home?

(b) What direction should you hike in
order to return home?

1. 👍 0
2. 👎 0
3. 👁 197
1. same vector stuff like pulling the car

east = 0 + 8 sin 40 + 6
north = 10 +8 cos 40 + 0

dist = sqrt(east^2 + north^2)
tan angle east of N = east/north
(note this is true compass rose angle, not math angle from x axis)

add or subtract 180 depending on if angle was less or more than 180

1. 👍 0
2. 👎 0
posted by Damon

## Similar Questions

1. ### Physics

This is a vector problem. A man starts at home and runs 5 miles north and then 5 miles in a direction 23 degrees south of west. Now he wants to go back home in a straight line. How far does he need to go and in what direction? so

asked by Sandy on September 23, 2014
2. ### 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

asked by Steve on March 28, 2015
3. ### 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

asked by Ana on May 5, 2014
4. ### 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

asked by Hailey on October 7, 2014
5. ### 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?

asked by Marco on February 19, 2013
6. ### math

Two helicopters leave Springfield, IL at the same time. One travles north at 27 miles per hour and the other travels west at 120 miles per hour. How far apart are they after 3 hrs? (Hint: Use d=rt to find the distance traveled by

asked by Rmz on January 27, 2010
7. ### Math

A group of friends went on a hiking trip. They planned to hike a total of 38 miles. They want to complete 25% of the hike by the end of the first day. About how many miles should they hike the first day?

asked by Anonymous on November 16, 2015
8. ### math

13. If two planes leave the same airport at 1:00 PM, how many miles apart will they be at 3:00 PM if one travels directly north at 150 mph and the other travels directly west at 200 mph? A. 50 miles B. 100 miles C. 500 miles D.

asked by tammy on January 8, 2009
9. ### Algebra 2

Find an equation for the linear model of the situation below and use it to make a prediction. A train is traveling north at a constant rate. At 3:00 P.M. it is 55 miles north of a city. At 4:15 P.M. it is 80 miles north of the

asked by Mary on October 11, 2011
10. ### Math

A person leaves her home and walks 6 miles due east and then 4 miles southeast?How far away from home is she?What is her net displacement(determine the magnitude and direction of the displacement vector)?

asked by George Carl on May 3, 2018

More Similar Questions