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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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nalin [4]

Answer:

Option C is correct

Step-by-step explanation:

Given: A plane is descending onto the runway with an angle of depression of 55°. Also, it has 2.8 miles to go before landing.

To find: current altitude of the plane

Solution:

Consider the attached image.

In ΔABC,

\angle ACB=55^{\circ} (Alternate interior angles)

For any angle \theta,

tan \theta = side opposite to angle/side adjacent to angle

\tan C=\frac{AB}{BC}

Put \angle C=55^{\circ}\,,\,BC=2.8\,\,miles

AB=2.8\,\tan 55^{\circ}=3.999\approx 4\,\,miles

So, the current altitude of the plane is 4 miles.

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3 years ago
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Solnce55 [7]

Answer:

Step-by-step explanation:

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3 years ago
A single card is drawn from a standard 52 card deck. Work out the probability of choosing "an ace". Give your answer in its simp
Furkat [3]

Answer:

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mafiozo [28]
(x, y)

The domain are all the x-values, the range are all the y-values.

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3 years ago
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Bond [772]
D. The elevator takes 37.5 seconds to move down to the lobby.


8x+y=300

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