Answer:
5.88 meters
Step-by-step explanation:
This is a problem of scale factor which uses the concept of ratio.
scale factor is the ratio of length of actual figure to length of its model.
Example: if an architect is drawing design for a building
if height of building is 100 meter but he is drawing this on paper of 1 meter then scale factor will 100/ 1= 100: 1.
It means that for every 100 meter of length of building, it can be represented by 1 meter of its model.
Thus if a building has length 200 meter then its model will be of 200/100 = 2 meter length.
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We will solve the given problem based on use of this concept.
Height of man = 1.78 meter
since in picture unit of measure is in cm, lets convert 1.78 meter to centimetre.
1 meter = 100 cm
1.78 meter = 100* 1.78 cm = 178 cm
height of man in picture = 2.3 cm
Scale factor = actual Height of man/Height of man in picture
= 178/2.3 = 77391
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ratio of actual height of flagpole / height of flagpole = actual Height of man/Height of man in picture
Substituting the value given in problem we have
actual height of flagpole/7.6 = 178/2.3
=>actual height of flagpole = (178/2.3)* 7.6 = 588.172 cm.
Thus height of pole is 588.172 cm.
In meter, height of pole is 588.172*100 cm
height of pole is 5.88 meters
