Question

Question on the picture:

Answer 1

Answer:

$36\ feet$

Step-by-step 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,

$(height):(shadow)$

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

$6:1.7$

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).

$6:1.7=x:10.2$

Cross products,

$(1.7)(x)=(6)(10.2)$

Simplify,

$1.7x=61.2$

Inverse operations,

$1.7x=61.2$

$/1.7$

$x=36$