On ground level, a 20 ft. flagpole casts a 50 ft. shadow at the same time that a building casts a 110 ft. shadow. How tall is the building?
2007-05-02 03:57:25 · 5 answers · asked by cms7028 2 in Science & Mathematics ➔ Mathematics
(flag shadow)/(flag height) = (building shadow)/(building height)
50 / 20 = 110 / x
50x = 20(110)
50x = 2200
x = 2200 / 50 = 44
2007-05-02 04:01:02 · answer #1 · answered by Mathematica 7 · 0⤊ 0⤋
The building is 275 ft tall...
You have to solve this like this..
first take a right angled triangle... such that your opposite side is 20 ft and ur adjacent side is 50ft... Now
tan A=opposite / adjacent..... ( U ll get it as tan A=20/50)
Now... U have to equate it to known opposite side divided by an unknown adjacent... that is..
(2/5)=110/x
x=275ft
2007-05-02 11:08:40 · answer #2 · answered by ((Gaining knowledge.) 2 · 0⤊ 0⤋
proportional Problem
50/110 = 20/x
The means = 20(110)
The extremes = 50x
50x = 20(110)
50x = 2200
50x / 50 = 2200 / 50
x = 2200 / 50
x = 44
The building is 44 feet tall
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2007-05-02 11:21:06 · answer #3 · answered by SAMUEL D 7 · 0⤊ 0⤋
44 ft
2007-05-02 11:01:20 · answer #4 · answered by sa_cool 2 · 0⤊ 0⤋
44ft
2007-05-02 11:01:42 · answer #5 · answered by Anonymous · 0⤊ 0⤋