Answer:
x = 12.68
y = 9.43
Step-by-step explanation:
(refer to attached)
recall that all the internal angles within a triangle sum up to 180°, hence the missing internal angle
= 180° - 62° - 41 °
= 77°
using the law of sines (i.e sine rule)
x / sin 62° = y / sin 41° = 14 / sin 77°
we can thus solve for x and y:
Considering X,
x / sin 62° = 14 / sin 77°
x = (14 sin 62°) / (sin 77)
x = 12.68
Considering y,
y / sin 41° = 14 / sin 77°
y = (14 sin 41°) / (sin 77°)
y = 9.43
Hope this helps!
