Dina is shipping a wall map to a collector. When the map is rolled up, it measures
1 answer:
The shortest height of the box that will hold the map is 6 ft option (C) is correct.
<h3>What is the Pythagoras theorem?</h3>The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.
We have:
Dina is shipping a wall map to a collector. When the map is rolled up, it measures.
From the figure we can apply the Pythagoras theorem to find the length BA:
BA² = 3² + 3²
BA = √18
Again applying Pythagoras theorem:
The height
AD² = 7² - (√18)²
AD² = 31
AD = √31 ft = 5.56 ft ≈ 6 ft
Thus, the shortest height of the box that will hold the map is 6 ft option (C) is correct.
Learn more about Pythagoras theorem here:
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