Find c if a 3 b 5 and A 30 degree 5644 degree 12456 degre

Find c if a = 3, b = 5, and A = 30 degree 56.44 degree 124.56 degree 56.44 or 124.56 degree No answer text provided. Find c if a = 2, b = 3, and C = No answer text provided. No answer text provided. No answer text provided. 2, 3 4, 3 17 8, 9 72 17

Solution

16) a = 3, b = 5 ,A = 30

from sine formula :

sin A / a = sin B / b = sin C / c

from sin A / a = sin B / b

sin 30 / 3 = sin B / 5

sinB = ( sin 30 / 3)*5 = 0.8333

B = sin^-1( 0.8333)

B = 56.44 degree

angle C = 180 - A - B = 180 - 30 - 56.44 = 93.56 degree

from :   sin B / b = sin C / c

sin( 56.44) / 5 = sin (93.56) / c

c = sin(93.56) *5 / sin(56.44)

c = 6.117

ans- D ( no ans text provided)

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17) a = 2, b = 3, C = ?

to calculate c we need more data.

ans- no ans text provided

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18) < 2,3> . < 4,3>

in vector form ( 2i + 3j).( 4i+3j)

= (2*4) + (3*3) ( i.i= 1, i.j = 0, j.j=1)

= 17