Question

Help with trig homework

Answer 1

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