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Vikki [24]
3 years ago
14

The perimeters of similar triangles are in the same ratio as the corresponding sides.

Mathematics
1 answer:
Stella [2.4K]3 years ago
5 0
Truth

ewidence
k - <span>scale similarities
a,b,c = </span>sides of the triangle
p - <span>perimeter of a triangle</span>
<span>
k*a + k*b + k*c = k(a+b+c) = k*p

</span>triangles
a = 3
b = 15
c = 14

triangles 1:2
2a = 2*3 = 6
2b = 2*15 = 30
2c = 2*14 = 28

<span>


</span>
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NGC is a hot air balloon in the sky from her spot on the ground. The angle of elevation from Angie to the balloon is 40°. If she
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Answer:

The distance from hot air balloon to the ground  AC=50.1457 ft.

Step-by-step explanation:

Labelled diagram of given scenario is shown below.

Given that,

An angle of elevation of Hot air balloon by Angie is 40°.

When she  stepped back 200 ft then angle of elevation was 10°.

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Height of Angie (BC) = 5.5ft

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         ⇒                      AB = tan (40) \times BD          ....................(1)

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         ⇒                 AB = tan(10)\times (200+BD)

Here, substituting the value AB from Equation (1) we get,

                        tan(10)\times (200+BD)= tan(40)\times BD

                      tan(10)\times 200+tan(10)\times BD= tan(40)\times BD

        ⇒         BD\times (tan(40)-tan(10))=tan(10)\times 20        

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        ⇒                       BD = \frac{35.2654}{0.6628} =53.2067 ft        

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                                 AB= tan(40)\times 53.2067=0.8391\times 53.2067

                                 AB=44.6457 ft              

Therefore Length of AC= AB+BC = (44.6457 + 5.5) ft

                                  AC=50.1457 ft.

Hence,

The distance from hot air balloon to the ground  AC=50.1457 ft.                

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