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3 years ago

62. A roof in the e

Mathematics

1 answer:

Fudgin [204]3 years ago

3 0

Answer:

9.4m

Step-by-step explanation:

Let the diagram of the rectangular pyramid be as shown in the attached

If a point C' is selected midway between C and B and F' is selected midway between D and C as shown in pyramid 2

FC can then be computed using pythagoras theorem such that

FC^2 = FC'^2 + CC'^2

FC^2 = (14.6/2)^2 + (9.8/2)^2

FC^2 =53.29 + 24.01

FC^2 = 77.3

FC = sqrt(77.3) = 8.8

To determine the height of the attic, we estimate EF, Pythagoras theorem can be used for triangle EFC

such that EC^2 = EF^2 + FC^2

therefore EF^2 = EC^2 - FC^2

EF^2 = 12.9^2 - 8.8^2

EF^2 = 166.41 - 77.44

EF^2 = 88.97

EF = sqrt(88.97)

EF = 9.4

The height of the attic is therefore 9.4m

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