Sunday

November 23, 2014

November 23, 2014

Posted by **Jessica** on Sunday, October 4, 2009 at 12:11am.

- Physics -
**MathMate**, Sunday, October 4, 2009 at 9:46amThis question assumes knowledge of vectors and how to solve for a triangle using the sine rule. If these subjects are vague, a revision is in order.

Let the plane start at O (origin) in the x-y plane, x=East, and y=North. Use a piece of graphics paper to help you draw the sketch according to the following directions. Draw it roughly to scale, but it does not have to be accurate, as we will solve the unknowns by trigonometry.

We will consider a time period of 1 hour, hence the plane travels 320 km and the wind, 85 km. We take the vectorial sum of the effect of wind and the plane, the direction of wihci is yet unknown.

Draw a line from O in the direction of the destination, namely N30Em, length about 400 units (km).

Draw the wind vector OA, in the direction E20S and a magnitude of 85 km/h.

From A, draw a vector AB, of magnitude 320 and intersecting the line in the N30E direction at B.

If we isolate the triangle OAB, we have:

Angle BOA = (90-30)+20 = 80°

OA = 85 km

Using sine rule,

sin(B)/85 = sin(80)/320

solve to get B=15.1644°

Since angles O + A + B =180,

we solve for A=180-O-B = 84.8356°.

Using sine rule again,

OB/sin(A) = 320/sin(80)

we solve for OB=324 km/hr approx.

Heading: NθE where θ=30-∠B=15° approx.

- Physics-corr. -
**MathMate**, Sunday, October 4, 2009 at 9:51amFrom A, draw a vector AB, of magnitude 320 and intersecting the line

**between O and destination**.

If we isolate the triangle OAB, we have:

Angle BOA = (90-30)+20 = 80°

OA = 85 km**OB = 320 km**

**Answer this Question**

**Related Questions**

physics - An airplane has to fly eastward to a destination 856 km away. If wind ...

Physics - A pilot must fly his plane to a town which is 200km from his starting ...

Science - An airplane has to fly eastward to a destination 856 km away. If wind ...

physics - An airplane pilot wishes to fly due west. A wind of 82.0m/s is blowing...

Gr. 12 Physics - A pilot must fly his plane to a town which is 200km from his ...

Physics - A pilot must fly his plane to a town which is 200 km from his starting...

Physics - Can someone explain to me how I'd draw this problem and what the ...

physics - 18)An airplane has to fly eastward to a destination 856 km away. If ...

Physics - A pilot flies a plane at a speed of 600 km/h with respect to the ...

math - A pilot can fly an MD-11 2160 miles with the wind in the same time she ...