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Distance problem? The pilot of a small plane finds that the airport where he intended to land is fogged in. He flies 55 miles west to another airport to find that conditions there are too icy for him to land. He flies 20 miles at 15° east of south and is finally able to land at the third airport. How far and in what direction must he fly the next day to go directly to his original destination?

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75 Miles and 105 degrees northeast?

Posted on Feb 04, 2009

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How to write this problem in code


const feet_per_mile = 5280
distance = 8.5
print "the distance is "+distance "+miles or+" distance*feet_per_mile+" feet."

Jul 14, 2014 | Educational & Reference Software

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City cabs charges a $1.25 pickup fee and $1.50 per mile traveled diegos fare for a crosstown cab ride is $11.75 how far did he travel in the cab? rounded to the nearest whole number


Let x be the distance travelled in miles, and y the fare. The equation that models the situation is
y=1.25+ 1.5x
The fare for the crosstown ride is y=$11.75. To find the number of miles, substitute 11.75 for y in the equation and solve for x
1.5x+1.25=11.75
1.5x= 11.75-1.25=10.5
x=10.5/1.5=7
The ride was 7 mile long.

Jul 06, 2012 | MathRescue Word Problems Of Algebra Lite

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The average distance from the sun to the earth is 93000000 miles. how long does it take the light from the sun to reach the earth if light travels at a rate about 186000 miles per second? with solution


Taking 93000000 Miles as Distance between earth and sun, you want to know how much time it takes for the light to touch Earth's atmosphere

93000000 / 186000 = 500sec

500 secs is 8 min 30sec Approx

so it takes 8 mins and approx 30 secs for light to reach from sun to earth

Jun 26, 2010 | Dk Multimedia I Love Math - 2nd (2071074)...

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The stopping distance d of a car after the brakes are applied varies directly as the square of the speed r. If a car traveling 40 mph car stop in 90ft, how many feet will it take the same car to stop when...


The stopping distance is proportional to square of speed.

that is 90ft proportional to 40^2 mph.

We can write as 90 = X * 40^2. ( X is a constant of proportionality) .

Which implies X = 90 / 1600 = .05625.

Assume S be the distance at which car stops when the speed is 90 mph.

S = X * 90^2. ( since X does not vary as same car is used)

=> S =.05625 * 8100 = 455.625 ft.

Thank you.

Jun 12, 2010 | Bagatrix College Algebra Solved Full...

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A boat is 8km and 15km west of its starting point.how far is the boat from its starting point


HI JH,

You may have omitted a direction from the initial distance.

In it's current wording, the boat is 23km west of its starting point.

Nov 11, 2009 | The Learning Company Achieve! Math &...

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An airplane is flying at a height of 2 miles above the ground. The distance along the ground from the airplane to the airport is 5 miles. What is the angle of depression from the airplane to the airport?


a2+b2=c2
a being your height, b is your distance from the airport and c is the distance from the airport to the plane........ so the answer is 5.385164807134504 miles

Pls Rate this post

Oct 08, 2009 | SoftMath Algebrator - Algebra Homework...

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Trig and distance


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



Dec 19, 2008 | Super Tutor Trigonometry (ESDTRIG) for PC

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