Respuesta :
Answer:
Let the height of tower be h.
Given:
The shadow of tower is 7 m long,
the height of stick is 1.2 m and the shadow of stick is 0.6 m.
Use a proportion methods, to solve this problems:
[tex]\frac{Height of tower}{Shadow of tower} = \frac{Height of stick}{Shadow of stick}[/tex]
or
[tex]\frac{h}{7} = \frac{1.2}{0.6}[/tex]
Simplify:
[tex]\frac{h}{7} =2[/tex]
Multiply both sides by 7 we have;
[tex]\frac{h}{7} \times 7 = 2 \times 7[/tex]
Simplify:
h = 14 m
Therefore, the height of tower is, 14 m
The height of the tower that cast a shadow of 7m long is 14 meters.
Proportional relationship
Proportional relationships are relationships between two variables where their ratios are equivalent.
Let's establish a proportional relationship as follows:
tower shadow height = 7m
vertical stick shadow = 0.6m
vertical stick height = 1.2 m
height of the tower = x
Therefore,
7 / 0.6 = x / 1.2
cross multiply
1.2 × 7 = 0.6x
x = 8.4 / 0.6
x = 14 m
Therefore, the height of the tower is 14 meters.
learn more on proportional relationship here: https://brainly.com/question/9761636
