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True [87]
3 years ago
10

A RECTANGULAR PRISM HAS A VOLUME OF 729 FEET . THE LENGTH,WIDTH AND HEIGHT ARE ALL THE SAME. WHAT IS THE LENGTH OF EACH SIDE OF

THE PRISM?
Mathematics
1 answer:
Nat2105 [25]3 years ago
3 0
V=L·W·H
L=W=H
L·W·H=729 ft³
L³=729
L=∛729
L=9 ft

<em>Answer:9 ft</em>
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Answer:

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Step-by-step explanation:

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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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Now, In triangle ΔABE

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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

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        ⇒                   BD\times 0.6628 = 35.2654

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Now, finding the value of AB from equation (1)

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Hence,

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