Question

a building alpha casts a shadow 75m at the same time when the building gamma casts a shadow 60m long on the field. if the height of the gamma building is 40m what will be the height of the building alpha?

Answer 1

The solution is attached

Answer 2

The property of similar triangle:

$\dfrac{\text{shadow 1}}{\text{shadow 2}} = \dfrac{\text{height 1}}{\text{height 2}}$

Define x:

Let the height of Building Alpha be x

Plug in the known value:

$\dfrac{\text{75}}{\text{60}} = \dfrac{\text{x}}{\text{40}}$

$60x =75 \times 40$

$60x =3000$

$x = 3000 \div 60$

$x = 50$

Answer: The height of the building Alpha is 50 m