62. A roof in the e
1 answer:
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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Answer:
The height of the flag pole will be = 18.96 ft.
Step-by-step explanation:
See the attached diagram.
AB is the flag pole and the length of the shadow is AC.
Now, Δ ABC is a right triangle and has AB = 3x ft., BC = 20 ft. and AC = x ft.
So, applying Pythagoras theorem ,
AB² + AC² = BC²
⇒ (3x)² + x² = 20²
⇒ 10x² = 400
⇒ x² = 40
⇒ x = 6.32 ft. (Approx.)
So, the height of the flag pole will be = 3x = 3 × 6.32 = 18.96 ft. (Answer)
