At a particular time, objects and their shadows are proportionate.
Therefore, in figure,
--- (1)
where AB is the height of the lighthouse, BC, its shadow and FD is the height of Zara and DE is her shadow.
From the given information,
BC = 36 feet
FD = 4 feet and DE = 3 feet
(1) becomes
AB = 48
Hence, the height of the lighthouse is 48 feet.
Equation of the circle:
Step-by-step explanation:
The equation of a circle is given by
where
are the coordinates of the center of the circle
r is the radius of the circle
For the circle in this problem, we know that:
(5,4) are the coordinates of the center
We also know that the circle passes through the point (-3,2), therefore we can calculate the radius as the distance between the point on the circle and the center of the circle:
Therefore, the equation of the circle is:
Learn more about circles:
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