Answer:
19.2 degrees using sine rule
Step-by-step explanation:
right angle = 90 degrees
to find the missing angle, we use the sine rule
[tex] \frac{sin(A)}{a} = \frac{sin(C)}{c} [/tex]
insert the values that you have:
[tex] \frac{sin(A)}{4.6} = \frac{sin(90)}{14} [/tex]
cross multiply
[tex]{sin(A)} = \frac{sin(90)}{14} \times 4.6 = 0.3285....[/tex]
use inverse sine to get the angle
[tex] \sin {}^{ - 1} (0.3285...) = 19.2(1dp)[/tex]
answer:19.2 degrees
