Question
Building Dimensions The base and height of the trusses for the roof of a house are 32 feet and 5 feet, respectively (see figure).(a) Find the distance from the eaves to the peak of the roof.(b) The length of the house is 40 feet. Use the result of part (a) to find the number of square feet of roofing.
Step 1
This is the hypotenuse of a right triangle with base 16 feet (half of 32 feet) and height 5 feet. We can use the Pythagorean theorem to find this distance, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides. Show more…
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