In sunlight, a vertical stick 6 ft tall casts a shadow 2 ft long. At the same time a nearby tree casts a shadow 14 ft long. How tall is the tree? Round to the nearest tenth.

18.0 ft
85.7 ft
52.5 ft
42.0 ft

Question

In sunlight, a vertical stick 6 ft tall casts a shadow 2 ft long. At the same time a nearby tree casts a shadow 14 ft long. How tall is the tree? Round to the nearest tenth.
 	
	18.0 ft
	85.7 ft
	52.5 ft
	42.0 ft

jango_in_dtown · Answer

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see tan theta=6/2=x/14 where x is the length of the tree then we have x=6*14/2=42 i.e. the tree is 42.0ft tall