Question about Super Tutor Trigonometry (ESDTRIG) for PC

# Trig and distance

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

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• gnagner Apr 08, 2009

How do you solve for θ in (1/3)= cos² (θ/2)?

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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

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We can divide pilot's trip in 2 parts:
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2. last 200km, when he is flying with speed v-30. The time it takes him to fly this part is 200/(v-30)
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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.

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v\:* {behavior:url(#default#VML);} o\:* {behavior:url(#default#VML);} w\:* {behavior:url(#default#VML);} .shape {behavior:url(#default#VML);} Normal 0 false false false MicrosoftInternetExplorer4 st1\:*{behavior:url(#ieooui) } /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Table Normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-parent:""; mso-padding-alt:0in 5.4pt 0in 5.4pt; mso-para-margin:0in; mso-para-margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:10.0pt; font-family:"Times New Roman"; mso-ansi-language:#0400; mso-fareast-language:#0400; mso-bidi-language:#0400;} 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.

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