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A flagpole is at the top of a building. 300 feet from the base of the building, the angle of elevation of the top of the pole is 32 degrees and the angle of elevation of the bottom of the pole is 30 degrees. Determine the length of the flagpole (to the nearest foot).

A Flagpole Is At The Top Of A Building 300 Feet From The Base Of The Building The Angle Of Elevation Of The Top Of The Pole Is 32 Degrees And The Angle Of Eleva class=

Sagot :

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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

Varshamittal029idn

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 :

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