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State whether the offered measurements recognize zero, one, or two triangles. C = 30°, a = 32, c = 16 0 votestrigaskedJul 31, 2014in TRIGONOMETRYby Tdog79Pupil
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angle C = 30o and sides a = 32, c = 16.

You are watching: State whether the given measurements determine zero, one, or two triangles. c = 30°, a = 32, c = 16

Lets uncover remaining angles room B and A.

Law the sines : c/sinC = a/sinA ⇒ sinA = (a * sinC) / c

sinA = (32 * sin30o)/16 = (32 * 1/2) / 16 = 16/16 = 1

A = sin^-1(1) = 90

Since sum of angles in a triangle = 180.

A+ B +C = 180.

Angle B = 180 - (A + B) = 180 - 30 - 90 = 60.

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Since this is a best angle triangle, only one triangle deserve to be formed.


answeredJul 31, 2014by casacopExperteditedJul 31, 2014by moderatorthanks againcommentedJul 31, 2014by Tdog79Pupil please examine the answer again, it is updated.commentedJul 31, 2014by moderatorRookie you re welcome log in or register to add a comment. associated questionsState even if it is the given measurements identify zero, one, or two triangles. C = 37°, a = 16, c = 14askedAug 8, 2014in CALCULUSby Tdog79Pupilcalculus identify whether the offered measurements recognize zero, one, or two possible triangles.askedMay 1, 2018in TRIGONOMETRYby anonymoustriglaw-of-cosinessolve-trianglelaw-of-sines state even if it is the offered measurments recognize zero, one, or two triangles. Ring to 2 decimal placesaskedJan 5, 2017in PRECALCULUSby anonymoustriglaw-of-cosines determine whether the offered information results in one triangle, 2 triangles, or no triangle at all.askedNov 27, 2017in PRECALCULUSby anonymoussolve-triangle identify whether the provided information outcomes in one triangle, two triangles, or no triangle at all.askedJan 29, 2015in PRECALCULUSby anonymoussolve-trianglelaw-of-sines find the angle between the offered vectors come the nearest tenth of a degree. U = , v = askedJul 30, 2014in TRIGONOMETRYby Tdog79Pupiltrig determine whether each relation represents a function. Because that the provided function, state the domain and range.askedJan 8, 2015in PRECALCULUSby anonymousrange-of-a-functiondomain-of-a-function recognize whether every relation represents a function. Because that the offered function, state the domain and range.askedJan 8, 2015in PRECALCULUSby anonymousrange-of-a-functiondomain-of-a-function State whether the result is a vector or a scalar. (3w · v)uaskedJan 26, 2015in TRIGONOMETRYby anonymousdot-product-of-vectors advice the expression: v ⋅ w offered the vectors: r = ; v = ; w = askedAug 25, 2014in TRIGONOMETRYby anonymoustrigpre-calc advice the expression: v ⋅ w offered the vectors: r = ; v = ; w = askedJul 30, 2014in TRIGONOMETRYby Tdog79Pupiltrig identify whether the vectors u and v are parallel, orthogonal, or neither. U = , v = askedAug 8, 2014in CALCULUSby Tdog79Pupilcalculus usage the graph to determine whether each system has no solution, one solution, or infinitely numerous solutions.askedFeb 13, 2014in ALGEBRA 1by homeworkhelpMentorsystem-of-equations Graph the system of equations to determine whether it has actually no solution, infinitely countless solutions, or one solution:askedJun 18, 2013in ALGEBRA 2by angel12Scholarsystem-of-equations find a worth for b such the the triangle has actually a)one solution b)two solutions c)no equipment A=60 a=10askedOct 21, 2015in TRIGONOMETRYby anonymouslaw-of-sinessolve-triangle uncover values for b such that the triangle has (a) one solution, (b) two solutions, and (c) no solution.askedJan 23, 2015in TRIGONOMETRYby anonymouslaw-of-sinessolve-triangle find the area of the triangle through the provided measurements. A = 46°, b = 27 ft, c = 14 ftaskedApr 16, 2016in PRECALCULUSby anonymousarea-of-trianglehomework-help uncover x in triangle provided one side and also 2 angle measurements?askedJun 17, 2014in TRIGONOMETRYby anonymousright-angle-triangle determine whether each x-value is a solution (or an approximate solution) of the equation.askedJan 29, 2015in TRIGONOMETRYby anonymouslogarithmic-equations recognize whether each -value is a solution (or an almost right solution) the the equation.askedMar 5, 2014in TRIGONOMETRYby dkinzApprenticesolving-equationsexponential