Answer:
174 ft²
Step-by-step explanation:
Assuming you're interested in the area of the figure, you can compute it as the sum of the areas of the triangle and rectangle.
The unknown side of the triangle can be figured from the overall dimension of the rectangle and the two lengths that are not part of the triangle base:
6 ft + triangle base + 6 ft = 18 ft
triangle base = 18 ft - 12 ft = 6 ft
Then the area of the triangle is ...
A = 1/2bh = 1/2(6 ft)(4 ft) = 12 ft²
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Of course, the area of the rectangle is the product of its length and width:
A = LW = (18 ft)(9 ft) = 162 ft²
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The total area of the figure is the sum of these:
area = triangle area + rectangle area
area = 12 ft² +162 ft²
area = 174 ft²
Height of the woman = 5 ft
Rate at which the woman is walking = 7.5 ft/sec
Let us assume the length of the shadow = s
Le us assume the <span>distance of the woman's feet from the base of the streetlight = x
</span>Then
s/5 = (s + x)/12
12s = 5s + 5x
7s = 5x
s = (5/7)x
Now let us differentiate with respect to t
ds/dt = (5/7)(dx/dt)
We already know that dx/dt = 7/2 ft/sec
Then
ds/dt = (5/7) * (7/2)
= (5/2)
= 2.5 ft/sec
From the above deduction, it can be easily concluded that the rate at which the tip of her shadow is moving is 2.5 ft/sec.
Answer:
m<EDA=35°
m<DAE=35 diagonal bisect it
Step-by-step explanation:
m<AED=180-2×35=110°(by sum of interior angle of the triangle)
m<BCE=mDAE=35° alternate angle
The right to be heard and the right to redress.
Answer: 416,592
Hope this helps!
