Question

ff.5 similar figures and indirect measurement 8vj
a shadow 32 meters long is cast by a redwood tree that is 60 meters tall. what is the height of a nearby windmill that casts a shadow 24 meters long?
write your answer as a whole number or a decimal. do not round.
meters

Explanation:

Step1: Set up proportion

$\frac{\text{Tree height}}{\text{Tree shadow}} = \frac{\text{Windmill height}}{\text{Windmill shadow}}$
$\frac{60}{32} = \frac{h}{24}$

Step2: Solve for $h$

Multiply both sides by 24:
$h = \frac{60 \times 24}{32}$

Step3: Calculate the value

$h = \frac{1440}{32} = 45$

Answer:

45 meters