Question

question 6 of 6
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an architect created a layout for an office building. the roof of the building is at an elevation of 48.2 feet, and the floor of the basement is at an elevation of —10.6 feet.
a company logo is being installed on the outer wall of the building at an elevation equal to (\frac{3}{5}) the total height of the office building, including the basement.
what is the elevation at which the logo is being installed?
(square) feet

Explanation:

Step1: Find total height of building

The total height of the building is the difference between the roof elevation and the basement elevation. So, \( 48.2 - (-10.6) = 48.2 + 10.6 = 58.8 \) feet.

Step2: Calculate 3/5 of total height

We need to find \( \frac{3}{5} \) of 58.8. So, \( \frac{3}{5} \times 58.8 = 3 \times 11.76 = 35.28 \).

Step3: Find elevation of logo

The logo's elevation is the basement elevation plus \( \frac{3}{5} \) of the total height. So, \( -10.6 + 35.28 = 24.68 \).

Answer:

24.68