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 2 years ago
Given quadrilateral ABCD with AB = 47, BC = 31, CD = 61, angle B = 117 deg and angle C = 76 deg. FIND:
1. AD
2. angle A
3. angle D
4. AC
5. BD
NEED YOUR HELP PLEASE! GONNA PASS THIS TOMORROW! THANKYOU!
 2 years ago
Given quadrilateral ABCD with AB = 47, BC = 31, CD = 61, angle B = 117 deg and angle C = 76 deg. FIND: 1. AD 2. angle A 3. angle D 4. AC 5. BD NEED YOUR HELP PLEASE! GONNA PASS THIS TOMORROW! THANKYOU!

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ajprincess
 2 years ago
Best ResponseYou've already chosen the best response.0Have u got a diagram for this @ienarancillo?

ienarancillo
 2 years ago
Best ResponseYou've already chosen the best response.0no @ajprincess . :( sorry. it's my homework and i really can't understand. PLEASE HELP

ienarancillo
 2 years ago
Best ResponseYou've already chosen the best response.0last one please. @ajprincess In the figure, DB =16, angle BAD = 13 deg and angle ABD = 22 deg. Solve for CD. THANKYOU!

ienarancillo
 2 years ago
Best ResponseYou've already chosen the best response.0@Callisto please help. :'(

Callisto
 2 years ago
Best ResponseYou've already chosen the best response.2Are you posting two questions here?

Callisto
 2 years ago
Best ResponseYou've already chosen the best response.2Not sir :S I'm not a guy. Please do not post two questions in a single post! For the first question, since the diagram is not given, we need to draw one ourselves. dw:1350743930628:dw Step 1: find BD, can you?

ienarancillo
 2 years ago
Best ResponseYou've already chosen the best response.0OMG! sorry! i didn't mean to! :'(

Callisto
 2 years ago
Best ResponseYou've already chosen the best response.2It's okay :) Can you find BD?

Callisto
 2 years ago
Best ResponseYou've already chosen the best response.2By considering triangle BCD.

ienarancillo
 2 years ago
Best ResponseYou've already chosen the best response.0i'm going to try solving it now. :)

Callisto
 2 years ago
Best ResponseYou've already chosen the best response.2Tell me if you need some hints or so.

ienarancillo
 2 years ago
Best ResponseYou've already chosen the best response.0can i have a hint please. i am very confused in finding the angles which are along the transversal lines. :(

Callisto
 2 years ago
Best ResponseYou've already chosen the best response.2Use cosine law. a^2 = b^2 + c^2  2bc cosA

ienarancillo
 2 years ago
Best ResponseYou've already chosen the best response.0so.. i drew a separate triangle for this.

ienarancillo
 2 years ago
Best ResponseYou've already chosen the best response.0\[\sqrt{76^{2}+31^{2}2(76)(31)\cos(76)}\] = 69.7 BD = 69.7

ienarancillo
 2 years ago
Best ResponseYou've already chosen the best response.0sorry it took so long. :"(

ienarancillo
 2 years ago
Best ResponseYou've already chosen the best response.0@Callisto Is this correct? please help.

Callisto
 2 years ago
Best ResponseYou've already chosen the best response.2You typed CD = 6 :S Anyway. No, it's not correct though :

ienarancillo
 2 years ago
Best ResponseYou've already chosen the best response.0OMG! so sorry again! :(

ienarancillo
 2 years ago
Best ResponseYou've already chosen the best response.0then what should i do next? :)

ienarancillo
 2 years ago
Best ResponseYou've already chosen the best response.0how should i find the angles? :)

Callisto
 2 years ago
Best ResponseYou've already chosen the best response.2You have to find BD first, and the BD you found is not right. Plug in 61 instead of 76

ienarancillo
 2 years ago
Best ResponseYou've already chosen the best response.0oh. sorry. is it 61.4? @Callisto

Callisto
 2 years ago
Best ResponseYou've already chosen the best response.2Yup. Next step: Find angle CBD

ienarancillo
 2 years ago
Best ResponseYou've already chosen the best response.0i used sine law for this. \[\frac{ \sin 76 }{ 61.4 } \frac{ \sin \angle CBD }{ 61 } = 74.6 degrees\]

ienarancillo
 2 years ago
Best ResponseYou've already chosen the best response.0@Callisto is this it? :)

Callisto
 2 years ago
Best ResponseYou've already chosen the best response.2Yup. So, now, find angle ABD.

ienarancillo
 2 years ago
Best ResponseYou've already chosen the best response.011 61.4 = 42.4 :)

ienarancillo
 2 years ago
Best ResponseYou've already chosen the best response.0i menat 117  61.4 = 42.4

ienarancillo
 2 years ago
Best ResponseYou've already chosen the best response.0@Callisto what should i do next? thanks so much for ur help.

Callisto
 2 years ago
Best ResponseYou've already chosen the best response.2Next?! Find AD :D By considering triangle ABD.

ienarancillo
 2 years ago
Best ResponseYou've already chosen the best response.0sorry. honestly, i ought to do the same thing. :D

ienarancillo
 2 years ago
Best ResponseYou've already chosen the best response.0uhmm, i was solving it before you replied. i asked you just to be sure. :D is this correct? :) @Callisto

Callisto
 2 years ago
Best ResponseYou've already chosen the best response.2Wait. It should be 117  74.6 = 42.4 And the answer you've got is wrong..

ienarancillo
 2 years ago
Best ResponseYou've already chosen the best response.0OMG. so sorry again, i just typed it wrong. but i guess, 42.4 is right? :)

ienarancillo
 2 years ago
Best ResponseYou've already chosen the best response.0and is my AD correct? :)

ienarancillo
 2 years ago
Best ResponseYou've already chosen the best response.0sorry. i'll sum up all the remaining 3 answers. im sorry to bother you. but im in the process of understanding it now. :)

Callisto
 2 years ago
Best ResponseYou've already chosen the best response.2It's okay :) Glad that you're understanding it now :)

ienarancillo
 2 years ago
Best ResponseYou've already chosen the best response.0are my answers correct? :)

Callisto
 2 years ago
Best ResponseYou've already chosen the best response.2It's close to 41.8, but not 41.8

ienarancillo
 2 years ago
Best ResponseYou've already chosen the best response.0carelessness of mine. it's 41.4? :O

ienarancillo
 2 years ago
Best ResponseYou've already chosen the best response.0but it's math error when i'm solving for angle a.

Callisto
 2 years ago
Best ResponseYou've already chosen the best response.2It should be sin A/ BD = sin angleABD / AD

ienarancillo
 2 years ago
Best ResponseYou've already chosen the best response.0yes. i did that. \[\frac{ \sin \angle A }{ 61.4 }\frac{ \sin 42.4 }{ 41.4 } = MATH ERROR\]

Callisto
 2 years ago
Best ResponseYou've already chosen the best response.2Hmm.. can you round your answer above to 4 d.p.? That way, you can get the answer!

ienarancillo
 2 years ago
Best ResponseYou've already chosen the best response.0uhmm, our instruction says 'all answers must be rounded off to the tenths place'. :'(
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