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Nonamiya [84]
3 years ago
10

A person who is 1.5 meters tall casts a shadow that is 8 meters long. The distance along the ground from the person (N) to the f

lagpole (G) is 32 meters. Find the height of the flagpole (FG) showing all calculations.
Mathematics
1 answer:
Elena-2011 [213]3 years ago
7 0
AA Theorem: To show two triangles are similar, it is sufficient to show that two angles of one triangle are congruent (equal) to two angles of the other triangle. All three triangles have a right angle and they all share the common angle at point S.

Flagpole is 32 meters from point S: so 1.5/8 = x/32 where x is FG
cross-multiply: 32 • 1.5 = 8x
48 = 8x
x = 6 meters

building is a total of 240 meters from point S, so: 1.5/8 = x / 240 where x is BD
cross-multiply: 240 • 1.5 = 8x
360 = 8x
<span>x = 45 meters</span>
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I need help please!!!!
ycow [4]

Answer:

x = 14.48

Step-by-step explanation:

first we have to see that we have the measurements from all sides

and we know that the angle between side 21 and 20 is 90 degrees

well to start we have to know the relationships between angles, legs and the hypotenuse.

a: adjacent

o: opposite

h: hypotenuse

sin α = o/h

cos α= a/h

tan α = o/a

let's take the left angle as α

sin α = 21/29

α = sin^-1 (21/29)

α = sin^-1 (0.7241)  

α = 46.397

Now we do the same with the smaller triangle

tan α = o/a

sin 46.397  = x/20

0.724 = x/20

0.724 * 20 = x

14.48 = x

x = 14.48

if we want to check it we can do the same procedure with the other angle

4 0
3 years ago
Can someone explain to me how to do this and the answer for them too because I do not understand these geometry proofs!!
Neko [114]

Answer:

Statement                        Reasoning

LM=NO                             Given

∠LMO≅∠NOM.                 Given

OM=OM                            Reflexive Property of Equality

ΔLMO=ΔNOM                  SAS Congruence Postulate

6 0
2 years ago
Is y = −x linear n nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn
Aleonysh [2.5K]

Answer:

Yes it is linear

Step-by-step explanation:

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5 0
3 years ago
Read 2 more answers
The graph shows two polygons ABCD and A′B′C′D′.
stellarik [79]

Answer:

Translate ABCD down 1, then reflect it over the y-axis

and

Reflect ABCD over the y-axis, then translate down 1

Step-by-step explanation:

First of all, the two steps are the same, just in a different order

Second, if you look at the instructions you can see what would happen to the quadrilateral. Reflecting over the y-axis would make the shape flip horizontally (left to right), as shown in the image. This means the points on the left move to the right, and the points on the right move to the left. Top and bottom points stay the same. And the "translation" just means to slide. In both the answers, it says "translate 1 unit down", which just means "move 1 unit down", which is exactly what happens in the image

7 0
3 years ago
Read 2 more answers
A store charges a restocking fee for any returned item based upon the item price. An item priced at $200 has a fee of $12. An it
lyudmila [28]

Answer:

Both ratios reduce to the same ratio 3/50, so the restocking fee is proportional.

Step-by-step explanation:

For the $200, the restocking fee is $12, so the ratio of the restocking fee to the price of the item is 12/200.

For the $150, the restocking fee is $9, so the ratio of the restocking fee to the price of the item is 9/150.

Now we find out if the ratios 12/200 and 9/150 are equal.

12/200 = 3/50

9/150 = 3/50

Both ratios reduce to the same ratio 3/50, so the restocking fee is proportional.

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2 years ago
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