Question

Question #e38b9

Answer 1

Always sketch and label the angles and distances on paper so that it will be easier to see the problem.

Explanation:

Here is a sketch of the problem:

Using the properties of parallel lines and transversals, it is true that angle ABC is a right angle .

Since we know the lengths of the sides of the right triangle, it now easy to use the Pythagorean Theorem to to find the distance from A to C:

`81^2 + 74^2 = (bar(AC))^2`
`bar(AC) = 109.71` miles

`/_C` can be found using the inverse tangent:

`Tan C` = `81/74`

`C=47.6^o`

Again, using parallel lines and transversals, you can determine from point C that the angle between South and point A is 47.6+25 = 72.6 degrees.

The bearing from C to A will be `S(47.6^0+25^0)`W = `S72.6^0W`

Hope that helped