Question

the figure shows the 3.2 meter shadow cast by a 2.4 meter pole and the 6.0 meter shadow cast by a building with an unknown height, h. what is the height of the building? a 2.0 m b 4.5 m c 5.0 m d 6.0 m

Explanation:

Step1: Set up proportion

$\frac{h}{6.0} = \frac{2.4}{3.2}$

Step2: Solve for h

$h = \frac{2.4 \times 6.0}{3.2}$

Step3: Calculate the value

$h = \frac{14.4}{3.2} = 4.5$

Answer:

4.5 m