find theta without the use of the law of cosines

see image attached

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- April 25th 2010, 06:16 AMcalc123find theta
find theta without the use of the law of cosines

see image attached - April 25th 2010, 06:18 AMProve It
- April 25th 2010, 06:29 AMcalc123
well my prof told me i didnt need to know that for the test. so im trying to solve it a diff way

- April 25th 2010, 07:27 AMSoroban
Hello, calc123!

Quote:

Find without the use of the Law of Cosines.Code:`| x A`

D + - - - - - o

| **

| 5 * *

y | * *

| θ * *

| * *

B o * 7

| *

| *

3 | *

| *

|*

C o

We have: .

Let: .

Subtract [2] - [1]: .

Hence: .

Therefore: .