A stick of height $1.1$1.1 m casts a shadow of length $2.2$2.2 m. At the same time, a tree casts a shadow of $6.2$6.2 m.
If the tree has a height of $h$h metres, solve for $h$h.
A $4.9$4.9 m flagpole casts a shadow of $8.6$8.6 m. Amelia casts a shadow of $2.5$2.5 m.
If Amelia is $h$h metres tall, solve for $h$h correct to one decimal place.
James is $1.7$1.7 m tall and casts a shadow $2$2 m long. At the same time, a tower casts a shadow $13$13 m long. If the tower is $h$h metres high, solve for $h$h correct to one decimal place.
Recognise when shapes are similar and use proportional reasoning to find an unknown length
Apply geometric reasoning in solving problems