hi to all:

can you please help me to find the angle BAC:

Attachment 22026

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- Aug 11th 2011, 07:49 AMrazemsoft21Find the ANGLE
hi to all:

can you please help me to find the angle BAC:

Attachment 22026 - Aug 11th 2011, 11:52 AMwaqarhaiderRe: Find the ANGLE
Follow the steps below:

1. from triangle ABD find AB & AD using cosine rule.

2. find AC from given equation

3.find CD from right triangle ACD

4.find BC from triangle BCD

Now you has all three sides of triangle ABC, and can find m<BAC. - Aug 12th 2011, 04:15 AMrazemsoft21Re: Find the ANGLE
- Aug 12th 2011, 08:58 AMbjhopperRe: Find the ANGLE
Hello razemsoft,

My answer is 45.2 degrees obtained using the sign law for AD. AC from given equation.DC from cosine law(angle 50). Angle DAC from cosine law. BAC = 100 - DAC - Aug 12th 2011, 09:27 AMbjhopperRe: Find the ANGLE
Hello again eazemsoft,

My calcs do not need any info about angle ACD. In this case it is acute. - Aug 12th 2011, 12:23 PMbjhopperRe: Find the ANGLE
Dear Razemsoft,

I noted an error in my calcs and when I corrected this I found that DC can have two solutions. The shorter one gives the obtuse ACD angle.I did not go further - Aug 13th 2011, 01:58 AMrazemsoft21Re: Find the ANGLE
- Aug 13th 2011, 05:46 AMbjhopperRe: Find the ANGLE
Hi razemsoft,

I followed thru from post5 to get a corrected solution.Here are my answers. I increased the figure 10 times to avoid fractions less than 1

AD = 9.54 AC= 7.78 DC= 3.48 Angle DAC = 20 degrees Angle BAC =80 degrees Angle ACD = 110 degrees - Aug 13th 2011, 08:36 AMmido22Re: Find the ANGLE
my solution in attachment --> good problem (Cool)

- Aug 13th 2011, 05:15 PMrazemsoft21Re: Find the ANGLE
hi mido22,

Thank you for helping.

by drawing the shape using math program on my PC

it shows that the angle CAD > 1

and angle BAC < 99

something wrong. - Aug 13th 2011, 05:18 PMmido22Re: Find the ANGLE
- Aug 13th 2011, 05:22 PMrazemsoft21Re: Find the ANGLE
- Aug 13th 2011, 05:34 PMrazemsoft21Re: Find the ANGLE
- Aug 13th 2011, 05:37 PMmido22Re: Find the ANGLE
- Aug 13th 2011, 05:50 PMrazemsoft21Re: Find the ANGLE