Bearing Trigonometry Problem

Question

A surveyor starting from a point  moves N. 28°5′ E. a distance of 572′ 9.5″ to point . Next, she moves N. 58°2′ E. a distance of 343′ 7.5″ to point . Next, she walks S. 4°11′ W. a distance of 1314′ 1.5″ to point . Finally, she returns to the starting point.

What distance must she walk to return to the starting point? (Answer accurate to the nearest quarter inch.)

What heading does she walk from the fourth point to return to the starting point? (Answer accurate to the nearest minute.)

What is the acreage of this plot of land? (In acres)

Answer 1

1. Find coordinators of vector AC, vector BC, and vector CD in standard position

2. vector AB + vector BC + vector CD to get coordinator of vector DA

3. |vector DA| is the distance to return.

4. Find the angel measure between DA and y, this is the direction.

5. Use triangle area formula with vertices to find the area.

Be careful for the units in your calculations.

Answer 2

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