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gizmo_the_mogwai [7]
3 years ago
9

Jessica stands 150 feet from the base of a tall building. She measures the angle from her eye to the top of the building to e 84

degrees. If her eye level is 5 feet above the ground, how tall is the building?
Mathematics
1 answer:
hram777 [196]3 years ago
5 0


This is an angle of elevation problem. So, we use the tangent ratio.

tan84=x/150


this then becomes

x=150(tan84)


which simplifies to

150∗(tan84)=1427


Since she only begins to observe the building 5 feet higher than where it starts, we add 5+1427, so your final answer is 1432 feet tall!
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proof

circumference = 2x r x Pi implies r =circumference / 2Pi=100.48/2x3.14=16

area = Pi x r²=3.14 x 16²=804.84

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Write an equation for a line parallel to y=-3x+2 that passes through the point (-1,4)
Wewaii [24]

<span>y=−3x+2</span> is a linear equation in slope-intercept form with
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We want the equation of a line with slope <span>m=<span>(−3)</span></span> through the point <span>(<span>−2</span>,<span>−8</span>)</span>

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There are 16 kilometers in 10 miles, about how many kilometers are in five miles?
Pavlova-9 [17]
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sertanlavr [38]
  • <em>Answer:</em>

<em>1172. 08 in²</em>

  • <em>Step-by-step explanation:</em>

<em>Hi there !</em>

<em>A(prism) = 2(lw + lh + wh) - Ab(cylinder)</em>

<em>= 2(16*11 + 16*11 + 11*11) - πr²</em>

<em>= 2(176 + 176 + 121) - 3.14*16</em>

<em>= 2*473 - 50.4</em>

<em>= 946 - 50.24</em>

<em>= 895.76 in²</em>

<em>A(cylinder) = πr² + 2πr*h</em>

<em>= 3.14*16 + 2*3.14*4*9</em>

<em>= 50.24 + 226.08</em>

<em>= 276.32 in²</em>

<em>A(total) = 895.76in² + 276.32in² = 1172.08 in²</em>

<em>Good luck !</em>

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