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What is the measure of angle J in the triangle below?

A. 99
B. 42
C. 9
D. 48

What is the measure of angle J in the triangle below? A. 99 B. 42 C. 9 D. 48-example-1
User Hzqelf
by
8.1k points

2 Answers

2 votes

Answer:

The correct answer is D. 48

Explanation:

User Kecer
by
8.2k points
5 votes
For this use the law of sines:

\sin( \alpha ) / a = \sin( \beta ) / b \\ \sin( \alpha ) / 11 = \sin(103) / 16

( \sin( \alpha ) )/(11) = (0.97)/(16)
cross-multiply:
16×sin (J) = 11×0.97
sin(J) = 10.72/16
sin(J) = 0.67
hit the "arcsin" button on your calculator:

{ \sin}^( - 1) (0.67) = 42.06 = 42.1 \: deg
therefore answer B. 42 is the correct answer!!
User Scofield
by
7.9k points

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