Maxine W.

asked • 01/26/18

Trigonometry

Which of the following values best approximates of the length of c in triangle ABC where c = 90(degrees), b = 12, and B = 15(degrees)?

c = 3.1058
c = 12.4233
c = 44.7846
c = 46.3644

In triangle ABC, find b, to the nearest degree, given a = 7, b = 10, and C is a right angle.

35(degrees)
44(degrees)
46(degrees)
55(degrees)

Solve the right triangle ABC with right angle C if B = 30(degrees) and c = 10.

a = 5, b = 5, A = 60(degrees)
a = 5, b = 8.6602, A = 60(degrees)
a = 5.7735, b = 11.5470, A = 60(degrees)
a = 8.6602, b = 5, A = 60(degrees)

Kenneth S.

standard practice in mathematics is that vertices (points) are given CAPITAL LETTER names.  The sides opposite the angles of a triangle are given lower case letters.  You have not followed this convention, and it is very inconvenient.
 
If you draw each of the right triangles, you will see that you can find missing sides using triangle trigonometry, because you have one given side. Advice: always draw and label the figures described--then you can focus on the situation and proceed easily to a solution. 
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01/26/18

Donna B.

I agree with Kenneth. You need to use capital letters for the angles and small letters for the sides. Also I cannot tell if you are solving 4 problems with one problem or if this is multiple choice. I'd like to help if you can answer my concerns.
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01/27/18

1 Expert Answer

By:

Raymond B. answered • 2d

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C=90 B=15 b=12


c/sin90 = b/sin15 = 12/sin15 = c/1= c


c = 12/sin15 = about 46.36


4th (last) option is best



a, b = 7, 10

C=90, c= sqr(149)

what's B??

sinB =10(sin90)/sqr149 = 10/sqr149 = 10sqr149/149 = .819

B = arcsin.819 = about 55 degrees


4th (last) option is best, again



B=30 c=10, C=90

find the other 2 sides and other angle

A = 60 degrees

10 = b/sin30 = b/.5

b = 5 10<a<5


4th option is best again


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