439 views
0 votes
If a person is standing 100 m from the bottom of a tower with the ground at 30 m, what is the height of the tower in meters?

a) 70 m
b) 130 m
c) 100 m
d) 30 m

User ThePaye
by
7.8k points

1 Answer

5 votes

Final answer:

The actual height of the tower is determined by using the scale provided for the model. After converting the model's height from meters to centimeters, a proportion can be established and solved to find that the actual height of the tower is 1250 meters.

Step-by-step explanation:

Calculating the Height of a Tower

The height of the tower is not given in the original question as posted by the student. However, based on the additional contextual information provided, we can solve a related problem:

A scale model of a tower is 1.25 meters tall. The scale of the model is 0.5 cm corresponds to 5 meters of actual height. To find the actual height of the tower, we need to set up a proportion. For every 0.5 cm in the model, the real tower is 5 meters tall. Therefore, we can calculate the actual height (H) in meters as follows:

H = (1.25 meters / 0.5 cm) * 5 meters

First, we convert 1.25 meters to centimeters by multiplying by 100 (since 1 meter = 100 cm), which gives us 125 cm.

  • H = (125 cm / 0.5 cm) * 5 meters
  • H = (250) * 5 meters
  • H = 1250 meters

The actual height of the tower is 1250 meters.

User Jacefarm
by
8.3k points