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jekas [21]
3 years ago
7

A cactus casts a shadow 33 feet long. At the same time of day, Liam who is 6 feet tall, casts a shadow 9 feet long, as shown.

Mathematics
1 answer:
castortr0y [4]3 years ago
6 0

Answer:

here's the solution :-

1.) =》the base of the larger triangle is the length of shadow formed by cactus .

so, length of cactus is : 33 feet.

2.) now, jn the smaller triangle formed by liam and it's shadow : -

=》

since both triangle form 90° the bases of both the larger and smaller triangles are parallel , so the base angles of larger triangle = corresponding base angles of the smaller triangle

hence, the both triangles are similar

( by A.A postulate )

now since the both triangles are similar, the the sides will be proportional ,

=》

\frac{9}{33}  =  \frac{6}{x}

=》

x =  \frac{6}{9}  \times 33

=》

x = 2 \times 11

=》

x = 22

so, length of the cactus = x = 22 feet

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