Question

HELP!!!!!!!

What is the length of in the figure below?



Select one:


20.8 units


8 units


12 units


14.4 units

Answer 1

Third option

Explanation:

Given the following question:

Side c = 24 units

Angle B = 30 degrees
Angle C = 60 degrees
30 + 60 = 90
90 + 90 = 180
(all angles add up to 180 degrees)
Angle A = 90 degrees

Apply the law of sines:


`a=c* sin(a)`

`a=24* sin(60)=20.7846097`

`20.7846097`

`8 > 5`

`20.8`

Now we have all the angles and two of the sides:

A = 20.8
C = 24


`b=c* sin(b)`

`b=24* sin(30)=12`
B = 12 units

Angle A - 90 degrees
Angle B - 30 degrees
Angle C - 60 degrees

Side AC - 12 units
Side BC - 24 units
Side BA - 20.8 units

Hope this helps.