A pilot flies a plane north for 300 kilometers then 80 degrees east for 100 kilometers, find the distance from the starting point and direction

Debs,

this is solved by starting with the SECOND leg of the flight considered as a triangle.

Find how far DUE east the plane travels (100 km x Cos10 = 83.9 km) using 10 degrees because that is how much is left of the 90 degree quadrent after subtracting the 80 degrres course direction.

Similarly find out how far DUE north the plane travels (100 km x Cos80 = 11 km).

Now get the total flight NORTH = 300 + 11 = 311

- and total EAST = 83.9

Finally, use Pythagoras theorem.to get the total DISTANCE:

square root of ( 311 squared + 83 squared ) = 321 km

Also the DIRECTION from its Tangent of 83 /311 = 14.9 degrees

Posted on Dec 19, 2008

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Posted on Jan 02, 2017

As given in part three of the question, divide the standard deviation by the average then multiply by 100.

Sep 20, 2014 | Texas Instruments TEXTI36XPRO TEXAS...

Draw the airport. (X marks the spot) Draw the distances from the airport (to scale) to indicate the position of the Plane. Use a protractor to work out the correct angle.

To Calculate:

a=48 b=49 Angle= Tan-1(a/b)

To Calculate:

a=48 b=49 Angle= Tan-1(a/b)

Sep 25, 2013 | Cars & Trucks

To fix this, hold down the A button for 4 seconds. this allows you to recalibrate the home position of the second hand. My secondo hand was posting exactly 90 degrees west in compass mode, and this home position recalibration fixed it 100 percent.

Sep 11, 2013 | Casio Watches

v will represent plane's airspeed.

We can divide pilot's trip in 2 parts:

1.5-t=200/(v-30)

We also know that t=200/v so we substitute that into equation:

1.5-200/v=200/(v-30)

To solve this equation we multiply it with v*(v-30)=v^2-30v first. We get:

1.5(v^2-30v)-200(v-30)=200v

Now we get rid of brackets:

1.5v^2-45v-200v+600-200v=0

or

1.5v^2-445v+600=0

This is quadratic equation, so we get 2 solutions (sqrt= square root):

We can divide pilot's trip in 2 parts:

- first 200km, when he is flying with speed v. The time it takes him to fly this part of trip is t=200/v
- last 200km, when he is flying with speed v-30. The time it takes him to fly this part is 200/(v-30)

1.5-t=200/(v-30)

We also know that t=200/v so we substitute that into equation:

1.5-200/v=200/(v-30)

To solve this equation we multiply it with v*(v-30)=v^2-30v first. We get:

1.5(v^2-30v)-200(v-30)=200v

Now we get rid of brackets:

1.5v^2-45v-200v+600-200v=0

or

1.5v^2-445v+600=0

This is quadratic equation, so we get 2 solutions (sqrt= square root):

- v=(445+sqrt(445^2-4*1.5*600))/(2*1.5)=295.3 km/h
- v=(445-sqrt(445^2-4*1.5*600))/(2*1.5)=1.4 km/h

Sep 08, 2011 | Casio ClassPad 300 Calculator

3.10 km times sine of 25 degrees is about 1.31 km.

3.10 km times cosine of 25 degrees is about 2.81 km.

The person would have to walk 1.31 km north and 2.81 km east.

Since you didn't specify the make and model of your calculator, I'm afraid I can't give you the keystroke sequences to calculate these results.

3.10 km times cosine of 25 degrees is about 2.81 km.

The person would have to walk 1.31 km north and 2.81 km east.

Since you didn't specify the make and model of your calculator, I'm afraid I can't give you the keystroke sequences to calculate these results.

Jul 04, 2011 | Office Equipment & Supplies

Try calibrating the unit by watching this video and performing the same action

http://bushnell.com/media/Bushnell_BackTrack_Compass_Calibration_Demo.flv

http://bushnell.com/media/Bushnell_BackTrack_Compass_Calibration_Demo.flv

Jan 03, 2011 | Bushnell BackTrack Handheld GPS Receiver

WhiteThough I think the riddle requires him to walk 1 km south, west, and then north, and wind up in the same place. The only place you can do that is if you start off at the north pole. Therefore the bear is a polar bear, which is white.

Mar 31, 2010 | DreamCatcher Interactive Riddle Of The...

75 Miles and 105 degrees northeast?

Feb 04, 2009 | Super Tutor Trigonometry (ESDTRIG) for PC

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It’s hard to cover all the details in a forum like this but
I’ll give you a quick primer. I can send
you a powerpoint presentation that explains it in a little more detail. To really learn how to read latitude and
longitude you should pick up a copy of “Chapman’s Piloting and Seamanship.”

The earth is divided into parallels of latitude and meridians of longitude, also known as lines of position.

Latitude is measured north and south of the equator, with the equator represented as 0 degrees, and the poles being represented as 90 degrees North or South. Latitude lines are paralel to the equator. For example, if I was at the equator I would be at 0 degrees. If I traveled exactly 60 nautical miles to the north, I would be at 1 degree North, and if I traveled another 60 miles I would be at 2 degrees north. Your GPS display will preface the Latitude measurement with an “N” for positions North of the equator and an “S” for positions south of the equator.

Longitude measures your position east or west from the Prime Meridian, which is a line represented as 0 degrees that bisects the earth from north to south and passes through Greenwich England. Halfway around the earth at the International Dateline Longitude is 180 degrees. Measuring Longitude is a little more complicated because the lines are not parallel and requires an accurate clock (your GPS) to compare time at your location relative to the time in Greenwich England. Your GPS display will preface the Longitude measurement with a “W” for positions west of Greenwich and an “E” for positions east of Greenwich.

To make more accurate measurements each degree is divided into 60 minutes. Because the lines are parallel, 1 minute of latitude is equal to 1 nautical mile. Each minute can be further divided into 60 seconds. Each second is roughly equivalent to a distance of 100’ Instead of seconds, the default setting on your Garmin breaks the minute down into tenths, hundredths, and thousandths for meven more precise measurements. Because they are not parallel, lines of Longitude are measured the same way, but the distances vary depending on how far north or south of the equator.

To find out where you are with a GPS, you need a map that shows lines of latitude and longitude on it. The lines will be labeled on the map or along the borders of the map. Most nautical charts show the latitude measurements along the right the left border of the map. Longitude measuremnts will be shown along the top and bottom edges.

The earth is divided into parallels of latitude and meridians of longitude, also known as lines of position.

Latitude is measured north and south of the equator, with the equator represented as 0 degrees, and the poles being represented as 90 degrees North or South. Latitude lines are paralel to the equator. For example, if I was at the equator I would be at 0 degrees. If I traveled exactly 60 nautical miles to the north, I would be at 1 degree North, and if I traveled another 60 miles I would be at 2 degrees north. Your GPS display will preface the Latitude measurement with an “N” for positions North of the equator and an “S” for positions south of the equator.

Longitude measures your position east or west from the Prime Meridian, which is a line represented as 0 degrees that bisects the earth from north to south and passes through Greenwich England. Halfway around the earth at the International Dateline Longitude is 180 degrees. Measuring Longitude is a little more complicated because the lines are not parallel and requires an accurate clock (your GPS) to compare time at your location relative to the time in Greenwich England. Your GPS display will preface the Longitude measurement with a “W” for positions west of Greenwich and an “E” for positions east of Greenwich.

To make more accurate measurements each degree is divided into 60 minutes. Because the lines are parallel, 1 minute of latitude is equal to 1 nautical mile. Each minute can be further divided into 60 seconds. Each second is roughly equivalent to a distance of 100’ Instead of seconds, the default setting on your Garmin breaks the minute down into tenths, hundredths, and thousandths for meven more precise measurements. Because they are not parallel, lines of Longitude are measured the same way, but the distances vary depending on how far north or south of the equator.

To find out where you are with a GPS, you need a map that shows lines of latitude and longitude on it. The lines will be labeled on the map or along the borders of the map. Most nautical charts show the latitude measurements along the right the left border of the map. Longitude measuremnts will be shown along the top and bottom edges.

Dec 16, 2008 | Garmin GPS 126 GPS Receiver

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