Angelique Draws Triangle Ghk. If Mc016-1.jpg What Is The Approximate Length Of H?
Angelique draws triangle GHK. If mzG=thirty? 9-3, and yard=iv,what is the guess length of h? 1.ii or 5.7 22or 4.7 47 5.7
Answer
Angelique draws triangle GHK. If mzG=30? 9-iii, and k=iv,what is the approximate length of h? 1.2 or 5.7 22or iv.seven 47 5.7
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Video Transcript
to answer this question. Nosotros volition use the law of sines. The first matter nosotros have to practise is to find the measure out of angle K. Sine of K over the length of its reverse side is equal to sine of thirty over the length of its contrary side. Multiply both sides by four and accept the inverse sine. Make sure your calculator is in degree mode and you lot will become 41 0.viii degrees. This is an ambiguous case. Then that's actually triangle 1 angle K. In triangle too is the supplementary angle. And so decrease 41.8 from 1 eighty And we get one 38.2. With that information nosotros tin find angle H. In each triangle. Subtract from 1 80 bending 1000. An angle M. Mhm. Yep. Do the aforementioned thing for triangle likewise. Yeah. Yeah. And finally nosotros can answer the question. Using the law of sines. Aye. Aye. Oh yes yep. Sorry about all that noise. If you heard it, I alive virtually a fire station and the burn trucks drive right by my window sometimes but we can continue solving, we volition prepare up an equation for each of the triangles. Yeah. So I will multiply both sides of the equation to solve for H. Three times sine of 10. Divided past Sine of 30. Okay Is a length of 5.7. And in my other triangle iii Times sine of 11.8 divided by sine of xxx Is 1.2. Yeah. It looks similar the showtime reply pick Is the correct ane
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