Saturday

December 20, 2014

December 20, 2014

Posted by **sandra** on Tuesday, January 10, 2012 at 11:52am.

- math -
**Steve**, Tuesday, January 10, 2012 at 12:29pmAs usual, draw a diagram.

the distance is easy, since we have a right triangle

d^2 = 15^2 + 12^2 = 369

d = 19.2

The bearing is N (33+x) W where

tan x = 12/15

x = 37°

bearing is N 70° W

Alternatively, and with much more work,

(0,0) + (15 cos 123°,15 sin 123°) = (-8.17,12.58)

(-8.17,12.58) + (12 cos 213°, 12 sin213°) = (-8.17,12.58) + (-10.06,-6.54) = (-18.23,6.04)

d^2 = 369

tan x = -18.23/6.04 = -3.02

x = 180-20 = 160° = N 70° W

- math - oops -
**Steve**, Tuesday, January 10, 2012 at 12:29pmoops

tan x = 6.04/-18.23

**Answer this Question**

**Related Questions**

physics - A hiker makes four straight-line walks A 31 km at 299 degrees B 32 km ...

PHYSICS - 1. Vecor A is 3 units in length and points along the positive x-axis. ...

physics (science) - John walks 1.0 km north, turns and walks 1.2 km at 50 ...

Physics - A car travels 2.06 km in the x-direction, then turns left 70.3 degrees...

math - A ship sails from a port,P, on a course of 060 degrees for 15km to a buoy...

Physics - A hiker follows a route that consists of three displacement vectors A...

Need help with pre cal hw - 1. A party of hikers walks 8 km from camp on 30 ...

Math - A nuclear submarine leaves its base and travels at 23.5 mph. For 2.00 ...

6th grade math - Which expression could you use to find the measure of an angle ...

math - find the angle that is coterminal to 525 degrees and lies between 0 ...