Question

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

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

Answer 1

The correct answer is D. 48

Explanation:

Answer 2

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!!