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shutvik [7]
3 years ago
12

A lighthouse has a shadow that is 36 feet long. Zara is 4 feet tall, and she is standing next to the lighthouse. Zara has a shad

ow that is 3 feet long. Use this information to complete the statement about the lighthouse. Math item stem image
The height of the lighthouse is ______feet.
Mathematics
2 answers:
xxTIMURxx [149]3 years ago
8 0

At a particular time, objects and their shadows are proportionate.

Therefore, in figure,

\frac{AB}{FD}= \frac{BC}{DE} --- (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

\frac{AB}{4}= \frac{36}{3}

\frac{AB}{4}= 12

AB = 48

Hence, the height of the lighthouse is 48 feet.


Ksenya-84 [330]3 years ago
8 0

Answer:

Its 48 feet get to the answer fast its ttm ;D

Step-by-step explanation:


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