A patio 20 feet wide has a slanted roof, as shown in the figure. Find the length of the roof if there is an 8-inch overhang. Show all work and round the answer to the nearest foot. Be sure to label your answer appropriately. Then write a sentence explaining your answer in the context of the problem.

Step-by-step explanation:

The question has missing attachment (See attachment 1 for complete figure)

Given

Width, W = 20ft

Let the taller height be represented with H and the shorter height with h

H = 10ft

h = 8ft

Overhang = 8 inch

Required

Determine the length of the slanted roof

FIrst, we have to determine the distance between the tip of the roof and the shorter height;

Represent this with

This is calculated by

Substitute 10 for H and 8 for h

Next, is to calculate the length of the slant height before the overhang;

See Attachment 2

Distance L can be calculated using Pythagoras theorem

Take Square root of both sides

-------Approximated

The full length of the slanted roof is the sum of L (calculated above) and the overhang

Substitute 20.10 ft for L

Convert inch to feet to get the slanted roof in feet

Hence, the total length of the slanted roof in feet is approximately 20.77 feet

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step-by-step explanation:

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