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Gnoma [55]
3 years ago
6

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)

Mathematics
2 answers:
vaieri [72.5K]3 years ago
5 0

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

52-32=20\ foot

Let height of building be h.

Now, we know that there is direct variation, so it becomes

\frac{30}{52}=\frac{h}{20}\\\\30\times 20=52\times h\\\\\frac{600}{32}=h\\\\h=11.5\ feet

Hence, height of building = 11.5 feet.

Over [174]3 years ago
4 0
<span>11.5 Not sure but it should be the answer!!

</span>
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