20. A small fire is sighted from ranger stations A and B. Station B is 1 .6 miles due east of station A. The bearing of the fire from station A is N40°E, and the bearing of the fire from station B is N5OW. How far, to the nearest tenth of a mile, is the fire from station A?

21. The magnitude and direction of two forces acting on an object are 250 pounds. N60°E, and 150 pounds, S45cE. Find the magnitude, to the nearest pound, and the direction angle. to the nearest tenth of a degree, of the resultant force.

22. A chfld is pulling a wagon with a force of 40 pounds. How much work is done in moving the wagon 60 feet if the handle makes an angle of 350 with the ground? Round to the nearest foot-pound.

Please find the solution in the word file 'work3_Soluition.doc'. The explanation to this ...

Solution Summary

Trigonometry and Vector Components Word Problems are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

... of a tail-to-head arrangement of the vectors how could ... the magnitude of each component of the vector has doubled ...Problems (Trigonometry) You are driving into St ...

... (1.5) Where we used the standard trigonometric identity We ... The forces are: When we write the vectors in Cartesian notations we get: Vector Magnitude. ...

... determine the resultant (total) force vector from the combination of the three individual force vectors. ... to express arguments of trigonometric functions in ...

... horizontal component of the forces will cancel each other while the vertical components will be ... But we can see that from trigonometry: ... And in vector notations: ...

... Student should have basic understanding of trigonometry and algebra ... horizontal (x) and vertical (y) components to form ... is the angle between the r and f vectors. ...

... A trigonometry wword problem is solved. ... Where r is the length of the vector and θ is the ... green arrow) is simply the difference between the two boats vectors: ...

... From trigonometric relations we can say that ... Where A is the length (absolute value) of the vector A, and ... Ax2 + Ay 2 When we want to add two vectors together, we ...

... to have more flowing in than out (larger vectors pointing towards ... 2n) The goal being to reduce all trig forms to ... He works out the unit normal vector N = (2x i ...