1) a telephone pole is 60 feet tall. it casts a shadow that is 24 feet long. a tree that is next to the telephone pole is 15 feet tall. how long is the shadow of the tree?
4 feet
6 feet
15 feet
20 feet
2) a building with a height of 40 m casts a shadow that is 30 m long. a statue next to the building casts a shadow that is 6 m long. how tall is the statue?
8 m
5 m
2 m
1.5 m

the line of

answer: 1 + 1 = 11

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