The Sun hits a 30 foot flagpole at a 60° angle and casts an unobstructed 52 foot shadow. If a building is built 32 feet away, wh
at height will the shadow strike the side of the building? (round to nearest tenth)
2 answers:
Answer: Height of building = 11.5 feet.
Explanation:
Since we have given that
Height of flagpole = 30 foot
Length of shadow of flagpole = 52 foot
According to question, if a building is built 32 feet away,
Length of shadow of building will be
Let height of building be h.
Now, we know that there is direct variation, so it becomes
Hence, height of building = 11.5 feet.
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It is a bit tedious to write 6 equations, but it is a straightforward process to substitute the given point values into the form provided.
For segment ab. (x1, y1) = (1, 1); (x2, y2) = (3, 4).
... x = 1 + t(3-1)
... y = 1 + t(4-1)
ab = {x=1+2t, y=1+3t}
For segment bc. (x1, y1) = (3, 4); (x2, y2) = (1, 7).
... x = 3 + t(1-3)
... y = 4 + t(7-4)
bc = {x=3-2t, y=4+3t}
For segment ca. (x1, y1) = (1, 7); (x2, y2) = (1, 1).
... x = 1 + t(1-1)
... y = 7 + t(1-7)
ca = {x=1, y=7-6t}
