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

Answer 1

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