nicoleamor
11.04.2020 •
Mathematics
D) Use your knowledge of scale drawings and image sizes to fill in the missing information in the table. (3 points)
Empire State Building
Original Image Actual Height (in feet) 1,450 1,450 1,450
Reduced Image Model Height (in blocks) 145
Scale Factor "1" /"25" "1" /"50"
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Ответ:
The Building B is taller than Building A and by 16.354 feet ≈16 feet.
Step-by-step explanation:
Kayson is looking at building A at an angle of elevation of 73° and building A is 30 feet away from him.
So, if the height of the building A is x feet, then we can write,
tan 73°=x/30, ⇒x =30 tan73° =98.125 feet.
Again, Kayson is looking at building B at an angle of elevation of 73° and building B is 35 feet away from him.
So, if the height of the building B is y feet, then we can write,
tan 73° =y/35, ⇒ y= 35 tan73° = 114.479 feet.
Therefore, Building B is taller than Building A and by (114.479-98.125) =16.354 feet ≈16 feet. (Answer)