301,442 views
41 votes
41 votes
Question on the picture:

Question on the picture:-example-1
User Jimmy Huang
by
3.3k points

1 Answer

19 votes
19 votes

Answer:


image

Explanation:

Assume that the shadow of an object in this problem is proportional to the height of the object. One can form the following ratio to describe the objects in this problem,


image

As per the given problem, a (6) foot person casts a (1.7) foot shadow. Therefore, one can form the following ratio,


image

It is given that there is a lighthouse that has a shadow of (10.2) feet, one is asked to find its height. Use the parameter (x) to represent the unknown; since the ratios are related, one can form a proportion to solve for(x).


image

Cross products,


image

Simplify,


image

Inverse operations,


image


image


image

User Hobblin
by
3.1k points