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

It is a right angled triangle. The answer is the hypoteneuse. What is more this triangle is the classic of its type, a 3-4-5 triangle, so the answer is 500 miles.

Apr 25, 2014 | Mathsoft Computers & Internet

About 307 degrees.

If this is homework, be sure to show your work.

If this is homework, be sure to show your work.

Sep 24, 2013 | Computers & Internet

The following are examples of expressions:

2

*x*

3 + 7

2 ×*y* + 5

2 + 6 × (4 - 2)

*z* + 3 × (8 - *z*)

Example:

Roland weighs 70 kilograms, and Mark weighs*k* kilograms. Write an expression
for their combined weight. The combined weight in kilograms of these two people
is the sum of their weights, which is 70 + *k*.

Example:

A car travels down the freeway at 55 kilometers per hour. Write an expression for the distance the car will have traveled after*h* hours. Distance equals rate
times time, so the distance traveled is equal to 55 × *h*..

Example:

There are 2000 liters of water in a swimming pool. Water is filling the pool at the rate of 100 liters per minute. Write an expression for the amount of water, in liters, in the swimming pool after*m* minutes. The amount of water added
to the pool after *m* minutes will be 100 liters per minute times *m*,
or 100 × *m*. Since we started with 2000 liters of water in the pool,
we add this to the amount of water added to the pool to get the expression 100 ×
*m *+ 2000.

To evaluate an expression at some number means we replace a variable in an expression with the number, and simplify the expression.

Example:

Evaluate the expression 4 ×*z* + 12 when *z* = 15.

We replace each occurrence of*z* with the number 15, and simplify using the
usual rules: parentheses first, then exponents, multiplication and division, then
addition and subtraction.

4 ×*z* + 12 becomes

4 × 15 + 12 =

60 + 12 =

72

Example:

Evaluate the expression (1 +*z*) × 2 + 12 ÷ 3 - *z* when
*z* = 4.

We replace each occurrence of z with the number 4, and simplify using the usual rules: parentheses first, then exponents, multiplication and division, then addition and subtraction.

(1 +*z*) × 2 + 12 ÷ 3 - *z* becomes

(1 + 4) × 2 + 12 ÷ 3 - 4 =

5 × 2 + 12 ÷ 3 - 4 =

10 + 4 - 4 =

10.

**hope that help you**

2

3 + 7

2 ×

2 + 6 × (4 - 2)

Example:

Roland weighs 70 kilograms, and Mark weighs

Example:

A car travels down the freeway at 55 kilometers per hour. Write an expression for the distance the car will have traveled after

Example:

There are 2000 liters of water in a swimming pool. Water is filling the pool at the rate of 100 liters per minute. Write an expression for the amount of water, in liters, in the swimming pool after

To evaluate an expression at some number means we replace a variable in an expression with the number, and simplify the expression.

Example:

Evaluate the expression 4 ×

We replace each occurrence of

4 ×

4 × 15 + 12 =

60 + 12 =

72

Example:

Evaluate the expression (1 +

We replace each occurrence of z with the number 4, and simplify using the usual rules: parentheses first, then exponents, multiplication and division, then addition and subtraction.

(1 +

(1 + 4) × 2 + 12 ÷ 3 - 4 =

5 × 2 + 12 ÷ 3 - 4 =

10 + 4 - 4 =

10.

Jun 22, 2011 | LeapFrog Turbo Twist Math Cartridge 5th...

velocity = distance divided by time

for more clarification, check this link

http://ceres.hsc.edu/homepages/classes/astronomy/fall97/Mathematics/sec5.html

for more clarification, check this link

http://ceres.hsc.edu/homepages/classes/astronomy/fall97/Mathematics/sec5.html

Jun 23, 2010 | SoftMath Algebrator - Algebra Homework...

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

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...

75 Miles and 105 degrees northeast?

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

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