Orienteering Compasses
Orienteering Compasses
Physics problem..Help please.? For {$keyword}

A scout troop is practicing its orienteering skills with map and compass. First they walk due east for 1.1 km. Next, they walk 40° west of north for 3.6 km. How far and in what direction must they walk to go directly back to their starting point?

b) direction in degrees east of south?

Start by sketching a picture.

Resolve each vector into an x-y pair, where positive x is due East and positive y is due North.

East is zero degrees. Directions will be measured as angle of rotaion counterslockwise from East. North is 90 degrees (measured from the positive x-axis)
1.1 km East = (1.1, 0)
3.6 kn @ 20 deg. West of North = (3.6 * cos(40 + 90), 3.6 * sin(40 + 90))
= (-2.31, 2.76)

Add:
(1.1, 0) + (-2.31, 2.76) = (-1.21, 2.76)

Distance back to the starting point
sqrt((-1.21)^2 + (2.76)^2)
= sqrt(9.0817)
= 3.01

This is where the picture is very helpful.
Direction
a = arctan(2.76/-1.21)
= arctan(-2.281)
= -66.3
That is measured relative to East, going counterclockwise. Add 90 degrees to get the angle measured East of South. -66.3 + 90 = 23.7 degres East of South.

eBay Logo  

Silver Lightweight Aluminum Alloy Orienteering Hiking Mini Compass Navigation


Silver Lightweight Aluminum Alloy Orienteering Hiking Mini Compass Navigation


$1.00


Multi-function Orienteering Navigation Acrylic Map Ruler Compass Scale


Multi-function Orienteering Navigation Acrylic Map Ruler Compass Scale


$2.77


Be Expert with Map and Compass:The orienteering Handbook by Bjorn Kjellstrom PB


Be Expert with Map and Compass:The orienteering Handbook by Bjorn Kjellstrom PB


$15.99


Be Expert with Map and Compass Orienteering Handbook by Bjorn Kjellstrom (1976)


Be Expert with Map and Compass Orienteering Handbook by Bjorn Kjellstrom (1976)


$2.95


Magnifying Map Reading Compass Hiking Army Camping Scouts Orienteering Essential


Magnifying Map Reading Compass Hiking Army Camping Scouts Orienteering Essential


$4.99

Orienteering Part 1 How to Judge Distance by Pace Count For {$keyword}


Funtalker Multifunction Map Compass Outdoor Navigation Camping


Funtalker Multifunction Map Compass Outdoor Navigation Camping



This Map Compass is the Ultimate Hiking or Trip Planning Compass. The see-through light-weight plastic base with Magnifier makes it perfect for reading directions on a map. Its handy Neck Strap allows you to hang it from a pack or take it with you anywhere. The large bright dial allows for easy compass readings even in low light. It also has a measuring device in both Inches and Millimeters allowi…


Field Compass (Basic for Survival, Orienteering, Navigation, Backpacking) - Magnetic Heading, Liquid Filled, Azimuth Bearing, Baseplate with Map Ruler


Field Compass (Basic for Survival, Orienteering, Navigation, Backpacking) – Magnetic Heading, Liquid Filled, Azimuth Bearing, Baseplate with Map Ruler


$10.99


If you are looking for great basic compass that is accurate, lightweight and small, then this is the right thing for you. A standard compass for outdoor orienting that makes it easy to read the map and plan your trip. You will certainly be on the right track with this tool thanks to the liquid-filled capsule (bubble free) which makes the needle swing fast and freely, and accurately point you north…

Rothco Orienteering Ranger Type Compass


Rothco Orienteering Ranger Type Compass


$5.99


Founded in 1953, Rothco, a family-owned business run by Milton Somberg and Howard Somberg, has provided the military clothing and outdoor retailer with top quality merchandise and the finest service anywhere for over 60 years….

Be Expert with Map and Compass


Be Expert with Map and Compass


$12.34


The classic map and compass navigation guide-revised for the age of GPS GPS devices are great, but they can break, get lost, or easily be hampered by weather conditions, making basic map and compass skills essential for anyone who spends time outdoors. This popular, easy-to-use orienteering handbook has been helping people find their way for more than fifty years. Now updated to include informati…

Wilderness Navigation: Finding Your Way Using Map, Compass, Altimeter & GPS (Mountaineers Outdoor Basics)


Wilderness Navigation: Finding Your Way Using Map, Compass, Altimeter & GPS (Mountaineers Outdoor Basics)


$11.41


CLICK HERE to download a sample• The official navigation textbook used in outdoor education courses by thousands of students • Goodreads.com readers rated the previous edition 4 out of 5 stars (and now it’s even better!) • Map and compass skills remain the foundation for traveling safely in the wilderness This new third edition is a major and complete update of the popular textbook:• Im…

Tagged with:

Filed under: Compasses

Like this post? Subscribe to my RSS feed and get loads more!