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marysya [2.9K]
3 years ago
11

If a 40​-foot tree casts a 12​-foot ​shadow, find the length of the shadow cast by a 26 dash foot tree?

Mathematics
1 answer:
Sveta_85 [38]3 years ago
6 0

Answer:

7.8 feet

Step-by-step explanation:

The  shadow, the ground and the  distance between the top of the tree and end of the shadow form 2 right-angled triangles which are similar.

So corresponding sides are in the same ratio. Therefore:-

40 / 12 = 26/x   where x is the length of shadow cast by the smaller tree.

40x = 12*26

x = (12*26) / 40

= 7.8 feet



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