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An aerial camera is suspended from a blimp and positioned at D. The camera needs to cover 125 meters of ground distance. If the camera hangs 10 meters below the blimp and the blimp
attachment is 20 meters in length, at what altitude from D to B should the camera be flown?

An aerial camera is suspended from a blimp and positioned at D The camera needs to cover 125 meters of ground distance If the camera hangs 10 meters below the b class=

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The picture isn't quite clear, so i have include a clearer one in the attachment below.

We need to determine the altitude of segment BD. From taking a look at the picture I can conclude that these triangle( s ) formed through the camera's positioning are proportional to one another, but here is the evidence -

( By Vertical Angle's Theorem, [tex]m<FDE = m<ADC[/tex]

( By Alternate Interior Angle's Theorem, [tex]m< EFD = m<ACD[/tex]

( Respectively by Alternate Interior Angle's Theorem, [tex]m< FED = m<CAD[/tex]

Therefore we can conclude that these triangle are similar to one another, and hence we can create a proportionality as such ( with the lengths ) -

[tex]20m / 125m = 10m / x[/tex]

And this " x " is the length of segment BD, which we want to determine -

[tex]20 / 125 = 10 / x - ( Cross Multiply ),\\20x = 125( 10 ),\\20x = 1250,\\\\x = 1250 / 20,\\x = 62.5 m[/tex]

The altitude with which the camera should be flown is 62.5 meters.

Hope that helps!

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ashishdwivedilVT

The altitude with which the camera should be flown is 62.5 meters.

To find the altitude from D to B should the camera be flown?

What is triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

To determine the altitude of segment BD. From taking a look at the picture it conclude that these triangle( s ) formed through the camera's positioning are proportional to one another, but here is the evidence -

By Vertical Angle's Theorem,

m<FDE=m<ADC

By Alternate Interior Angle's Theorem,

m<EFD=m<ACD

Respectively by Alternate Interior Angle's Theorem,

m<FED=m<CAD

Therefore we can conclude that these triangle are similar to one another, and hence we can create a proportionality as such ( with the lengths ) -

20/125=10/X

And this X is the length of segment BD, which we want to determine -

20/125=10/X  

20X=1250

X=1250/20=62.5

X=62.5 m

This, the altitude with which the camera should be flown is 62.5 meters.

Learn more about triangle here:

https://brainly.com/question/17009778

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