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Sagot :
Answer: We can use tangent here to find the length of the flagpole
First, find the length of the building + the flag pole
tan 32 = x/300
x=300tan32=187.460805573
(length of building + flagpole)
find length of building
tan 30 = x/300
x=173.205080757
subtract
187.460805573-173.205080757=14.255724816
round, length of flagpole = 14 feet
The length of the flagpole is 14.26 feet.
What is ratio formula of tangent ?
In a triangle, if A be the adjacent side of the angle C & B be the opposite, then tan C = Opposite side/ Adjacent side = B/A
What is the required flagpole length ?
Let, Length of building + length of flagpole = x
Distance from the base of the building = 300 feet
Then, tan32° = x/300
⇒ x = 300 tan32°
⇒ x = 187.46
Now, let, length of the building = y
Then, tan30° = y/300
⇒ y = 300 tan30°
⇒ y = 173.2
So, length of the flagpole = 187.46-173.2 =14.26 feet
Learn more about tangent ratio formula here :
https://brainly.com/question/10533028
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