Answer:
x =19.2
y=29.8
Step-by-step explanation:
We will use the law of sines to solve this problem
sinA sin B
----------- = -------------
a b
sin 55 sin 40
--------- = ---------------
24.5 x
Using cross products
x sin 55 = 24.5 sin 40
Divide by sin 55
x = 24.5 sin 40 / sin 55
x =19.22512011
To one decimal place
x =19.2
To find the angle opposite y, we know the three angles of a triangle add to 180
y = (180-40-55) = 85
sin 55 sin 85
--------- = ---------------
24.5 y
Using cross products
y sin 55 = 24.5 sin 85
Divide by sin 55
y = 24.5 sin 85 / sin 55
y =29.79516474
To one decimal place
y=29.8
