A Surveyor wants to know the length of a tunnel built three mountain according to equip machines located 212 m from one entrance of the tunnel at an angle of 57° to the perpendicular also equation equipment she is 180 m from the other entrance of the tonight an angle of 40° to the perpendicular based on these measurements find the length of the entire tunnel

idk

step-by-step explanation:

answer by yourhope:

hi! : )

a farmer that lived in ancient egypt would most likely be barried in the sand, in the desert!

: )

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