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tekilochka [14]
3 years ago
7

Sighting the top of a building, a surveyor measured the angle of elevation to be 60 degrees. The measurement is taken 200 feet f

rom the building. Find the building's height. Express your answer in terms of feet and then round to two decimls.
Mathematics
2 answers:
olya-2409 [2.1K]3 years ago
8 0
This is a 30-60-90 triangle
opposite side of rigt angle=2x
opposite side of 60 degrees is x√3
opposite sides of 30 degree is x
the right angle is at the base of the building so therefor
200=x
2x=distance from surveor to top of building and x√3=height of building

x=200
200√3≈346.41

the answer is 346.41 feet

Anna [14]3 years ago
4 0
Tan(60) = opposite/200
height = 200tan(60) = 200sqrt(3) or about
346.41 ft
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Debora [2.8K]

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Since 60° is one sixth of the entire circle (360°) it means that the length of arc B is 1/6 th of the circumference.

1/6 * (12 * 2π) = 4π

3 0
3 years ago
Simplify √49 + [√81 - x(9x = 14)]
eimsori [14]

\longrightarrow{\green{- 9 {x}^{2}   +  14x + 16}} 

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}

\sqrt{49}  + [ \sqrt{81} - x \: (9x   -  14) ] \\ \\   =  \sqrt{7 \times 7}  + [ \sqrt{9 \times 9}   - 9 {x}^{2}   +  14x] \\  \\  =  \sqrt{( {7})^{2} }  + [ \sqrt{ ({9})^{2} }  - 9 {x}^{2}  +  14x ] \\  \\  (∵ \sqrt{ ({x})^{2} } = x ) \\  \\  = 7 + (9 - 9 {x}^{2}   + 14x) \\  \\  = 7 + 9 - 9 {x}^{2}   + 14x \\  \\  =  - 9 {x}^{2}   +  14x + 16

\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}

3 0
3 years ago
Helppppppppp. Me. Plzzzzzz
BaLLatris [955]

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the answer would be A because the x's are 1's

4 0
3 years ago
Will give brainliest
Serggg [28]

Answer:

whats (2x)x(76) x is 50 btw im new

Step-by-step explanation:

8 0
3 years ago
What does 101=50-h h means the number 49
ICE Princess25 [194]
Let me see if I understand your question:

101=50-h

this would just be an equation with a variable: this variable is "h". Variable is an unknown value, like a name for "something".

so we could say that 101 equals 50 minus "something" and we call this something "h"

this is what 101=50-h "means"

as it happens, we can find out the value of this h:

we can subtract 50 from both sides of the equation:

101-50=50-50-h
51=-h

and multiply by (-1)
-51=h

so our h is equal to -51.

so...  does not actually mean here 49...

let me know if you have further questions!
6 0
3 years ago
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