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stepheme1
26.04.2021 •
Mathematics
Ms Markes is walking towards a building She is 75 feet away. She looks to the top of the building which she knows is 35 feet tall. At what angle of
elevation is Ms Markes looking up at?
Draw a picture to help visualize the situation.
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Ответ:
The answer to your question is below
Step-by-step explanation:
The shape is an irregular quadrilateral shape.
Perimeter
1.- Find the length of the four sides
dAB =![\sqrt{(-5 + 25)^{2} + (-32 + 11)^{2} }](/tpl/images/0428/5532/f7445.png)
=![\sqrt{20^{2} + 21^{2} }](/tpl/images/0428/5532/ad508.png)
=![\sqrt{841}](/tpl/images/0428/5532/a8fbe.png)
= 29 u
dAD =![\sqrt{(-4 + 25)^{2} + (9 + 11)^{2} }](/tpl/images/0428/5532/74cec.png)
=![\sqrt{21^{2} + 20^{2} }](/tpl/images/0428/5532/29edc.png)
=![\sqrt{441 + 400}](/tpl/images/0428/5532/9671a.png)
=![\sqrt{841}](/tpl/images/0428/5532/a8fbe.png)
= 29 units
dBC =![\sqrt{(37 + 5)^{2} + (8 + 32)^{2} }](/tpl/images/0428/5532/73355.png)
=![\sqrt{42^{2} + 40^{2} }](/tpl/images/0428/5532/71fa9.png)
=![\sqrt{1764 + 1600}](/tpl/images/0428/5532/baf30.png)
=![\sqrt{3364}](/tpl/images/0428/5532/43e79.png)
= 58 units
dCD =![\sqrt{(-4 - 37)^{2} + (9 -8)^{2} }](/tpl/images/0428/5532/e0af6.png)
=![\sqrt{-41^{2} + 1x^{2} }](/tpl/images/0428/5532/83155.png)
=![\sqrt{1681 + 1}](/tpl/images/0428/5532/c87dd.png)
=![\sqrt{1682}](/tpl/images/0428/5532/7e156.png)
= 41.01 units
Perimeter = 29 + 29 + 58 + 41.01 = 157.01 ≈ 157 units
Area
To find the area divide the figure in a square and a triangle
Area of the square = 29 x 29 = 841 units²
Area of the triangle = (base x height) / 2
base = 58 - 29 = 29
height = 29
= ( 29 x 29) / 2
= 841 / 2
= 420.5 units²
Total area = 841 + 420-5 = 1261.5 units²