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Mumz [18]
3 years ago
8

Mr. Jameson is walking toward his nine-story hotel and stops to look up to the top of the building. The angle of elevation to th

e top of the hotel is 55°. If the height of the hotel is 108 feet, about how far away is Mr. Jameson from the hotel?
Mathematics
1 answer:
tankabanditka [31]3 years ago
6 0
The side of the hotel is opposite to the angle.
The distance between Mr.Jameson and the hotel is adjacent to the measured angle.

Tan = sin/cos = adjacent/ opposite
Tan(55) = 108/x
x = 75.6ft

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Vitek1552 [10]

Answer:

<h2>A) Height is the missing measurment.</h2><h2 /><h2> B)  1,400= 20 × 14 × H</h2><h2 /><h2>C) 1400 ÷ H = 280</h2>

Step-by-step explanation:

A) Length × Width × Height

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The length of a rectangle is (5x − 1) cm and the width is (11 − 2x) cm. If the perimeter of the rectangle is 44 centimeters, wha
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Answer:

57 cm²

Step-by-step explanation

<em>l = length</em>

<em>w = width</em>

<em>p = perimeter</em>

<em />

<em>(5x - 1) = length</em>

<em>(11 - 2x) = width</em>

<em>44 = perimeter</em>

<em />

<em>Formula for the perimeter of a rectangle:</em>

<em>l + l + w + w</em>

<em>2l + 2w = p</em>

<em />

<em>Substitute the variables for the length and width with the values given to you by the problem, then solve.</em>

<em></em>

<em>2(5x - 1) + 2(11 - 2x) = 44</em>

<em>(10x - 2) + (22 - 4x) = 44 (Distributive property)</em>

6x + 20 = 44

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x = 4

<em>Plug x = 4 back into the length and width.</em>

Length = (5x - 1), (5(4) - 1), (19)

Width =  (11 - 2x), (11 - 2(4)), (3)

<em>Area for a rectangle: Length × Width = Area.</em>

<em>19 × 3 = 57 cm²</em>

<em>This is all in cm so answer with cm²</em>

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valentinak56 [21]
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RUDIKE [14]
First find the area of the rectangle, then remove the circular area.

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