Find the length of ab round to the nearest hundredth with 8 meters and 140 degrees

19.5 meters

Step-by-step explanation:

19.55 meters

Step-by-step explanation:

To find the length of arc AB, we will need to set up some ratios.

Before this, however, we must calculate the circumference of the circle which can be done by:

C= 2r

C= 16≈50.27.

Now, we can set up the ratio to solve for arc AB.

Cross multiplying will get us:

7037.8= 360x

x≈19.55m.

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

lol.

it's ok we all do this sometimes.

-aparri