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A homeowner is putting in a fireplace that has a 5 inch radius vent pipe. He needs to cut an elliptical hole in his roof to accommodate the pipe. If the pitch of his roof is 2/5 what are the dimensions of the hole

Respuesta :

The dimensions of the hole when the homeowner is putting in a fireplace will be 10 inches and 10.77 inches.

How to calculate the dimensions?

The width of the pipe will be:

= 5 × 2

= 10 inches.

The length of the pipe will be:

= (✓2² + ✓5²)/5 × 10

= ✓29/5 × 10

= ✓29 × 2

= 10.77 inches

In conclusion, the dimensions are 10 inches and 10.77 inches.

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