Answer: 9.97
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Explanation:
y = distance from the base of the pole to the closest person
y+200 = total horizontal distance
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Focus on the smaller right triangle.
tan(angle) = opposite/adjacent
tan(26) = 55/y
y*tan(26) = 55
y = 55/tan(26)
y = 112.76671 approximately
Make sure your calculator is in degree mode.
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Now move to the larger right triangle
tan(angle) = opposite/adjacent
tan(x) = 55/(y+200)
tan(x) = 55/(112.76671+200)
tan(x) = 55/312.76671
tan(x) = 0.17585
x = arctan(0.17585) same as 
x = 9.97349
x = 9.97 degrees approximately
Answer:
180< x < 270 so x is in 3rd quadrant ,hence tan x is positive cos x=-4/5 tan(x/2) = √ {(1 − cos x) / (1 + cos x)) = √ { (1+4/5)/(1–4/5) } =√{ 9/5)/(1/5) } =√9=±3 now ...
Answer:
1/9 pint
or 2/9 cup
Step-by-step explanation:
This question is asking us to <em>divide </em>2/3 pint among 6 cans.
2/3 ÷ 6
2/3 × 1/6
= 2/18
= 1/9 pint or 2/9 cup additive
When the diagonals of a quadrilateral are perpendicular, the area of that quadrilateral is half the product of their lengths.
.. A = (1/2)*d₁*d₂
Substituting the given information, this becomes
.. 58 in² = (1/2)*(14.5 in)*d₂
.. 2*58/14.5 in = d₂ = 8 in
The length of diagonal BD is 8 in.
39/89 because of sohcahtoa
