Question

A billboard is 27 feet high and casts a 36-foot shadow at noon. At the same time, a fir tree next to the billboard casts a 48-foot shadow. What proportion can be used to find the height, H, of the fir tree

Answer 1

Proportion can be used to find the height = 0.75

Step-by-step explanation:

A billboard is 27 feet high and casts a 36-foot shadow at noon.

Height of billboard = 27 feet

Height of shadow of billboard = 36 feet

$\frac{\texttt{Height of billboard}}{\texttt{Height of shadow of billboard}}=\frac{27}{36}\\\\\frac{\texttt{Height of billboard}}{\texttt{Height of shadow of billboard}}=\frac{3}{4}=0.75$

A fir tree next to the billboard casts a 48-foot shadow.

Height of shadow of fir tree  = 48 foot

$\texttt{Height of shadow of fir tree, H = }\frac{\texttt{Height of billboard}}{\texttt{Height of shadow of billboard}}\times 48$

Proportion can be used to find the height = 0.75