7.04 Applications of similarity
Interactive practice questions
A man wants to measure his height. He stands in the sun and takes note of where his shadow ends and places a stick vertically in the ground at this point. He then measures the height and length of the stick and its shadow. The figure shows the results.
Find $h$h, the height of the man.
A $4.9$4.9 m high flagpole casts a shadow of $4.5$4.5 m. At the same time, the shadow of a nearby building falls at the same point (S). The shadow cast by the building measures $13.5$13.5 m. Find $h$h, the height of the building, using a proportion statement.
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.
A school building reaching $h$h meters high casts a shadow of $30$30 m while a $3$3 m high tree casts a shadow of $6$6 m. Solve for $h$h.