A60-foot tree casts a shadow 85 feet long. the sine of the angle between the ground and the line that connects the tip of the shadow to the top of the tree is approximately

so leg A would be 60

leg B would be 85

using this we are able to determine the HYP to be 104.04

so sine = opp/HYP

leg A is the opp in this case

sin(theta) = 60/104.04

sin(theta) = 0.57670126874

when we round to the hundredths place we get 0.58

:dab:

the aswere is the one with all 8's and the second one is with the 10,8 and 6

step-by-step explanation:

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