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scoray [572]
3 years ago
14

On a windy day, a 90 foot rope tightly secures a hot air balloon to a stake in the ground. From the balloon, the angle of depres

sion of the stake is 62º. Find the height of the balloon to the nearest foot.
List your knowns and unknowns.
Solve the problem. Make sure your answer contains units and is labeled clearly.
Check your answer.
Write 2-4 sentences explaining your solution/checking process.
Mathematics
1 answer:
Alborosie3 years ago
4 0

Answer:

  • 79 ft

Step-by-step explanation:

Balloon - B, stake - S, point at ground - G

<u>Given:</u>

  • BS = 90 ft
  • m∠BSG = 62°
  • BG = x

<u>Use sine and solve for x:</u>

  • BG/BS = sin ∠BSG
  • sin 62° = x / 90
  • x = 90 sin 62 deg
  • x = 79 ft (rounded)
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Xelga [282]
Number is an isosceles triangle number seven is a right angle triangle number 9 I believe is a scalene triangle number 10 is a right angle triangle I also believe 11 is a scalene triangle and I believe number 8 is equilateral triangle
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4 years ago
The diagram shows a triangle ABC where AB=AC , BC=AC, and ⦟BAC = 20 degree, find ⦟ADB​
Mariulka [41]

Answer:

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6 0
3 years ago
The variables A, B, and C represent polynomials where A = x + 1, B = x2 + 2x − 1, and C = 2x. What is AB + C in simplest form?
topjm [15]
AB + C
= (x + 1)(x^2 + 2x - 1)  +  2x
= x^3 + 2x^2 - x + x^2 + 2x - 1 + 2x
= x^3  + 3x^2 + 3x - 1
3 0
3 years ago
Read 2 more answers
A farmer has 1,200 feet of fencing and wants to fence off a rectangular field that borders a straight river. He needs no fence a
iVinArrow [24]
Yay, derivitives
I'mma ignore that x is the shorter side because I don't know which one has to be shorter yet


we need to find the max area
but with 3 sides

area=LW
let's say the sides are z and y
zy=area

and the relatiionship between them is
hmm,
z+2y=1200
because one side has no fencing
so
z+2y=1200
solve for z
z=1200-2y
sub for z in other

(1200-2y)(y)=area
expand
1200y-2y²=area
take derivitive
1200-4y=dy/dx area
max is where dy/dx goes from positive to negative
solve for where dy/dx=0
1200-4y=0
1200=4y
300=y

at y<300, dy/dx<0
at y>300, dy/dx>0
so at y=300, that is the max

then
z=1200-2y
z=1200-2(300)
z=1200-600
z=600

so then
z=600
y=300
300<600

so the shorter side would be y

so then we see our choices and noticed that
erm
I think it is f(x)=1200x-2x²
takind the derivitive yeilds none of the others


so ya, you are right
6 0
3 years ago
Read 2 more answers
Instructions: Select the correct answer from each drop-down menu.
vovangra [49]

Answer: The answer is (A)\dfrac{4}{3}. and (C)4x-3y=0.

Step-by-step explanation: We are given a graph with a point A having co-ordinates (3, 4) and origin O(0, 0). We are to find the slope and equation of line OA.

Since O(0, 0) and A(3, 4) are two points on the line OA, so its slope will be

m=\dfrac{4-0}{3-0}=\dfrac{4}{3}.

And the equation of the line will be

y-0=\dfrac{4}{3}(x-0)\\\\\\\Rightarrow y=\dfrac{4}{3}x\\\\\\\Rightarrow 3y=4x\\\\\Rightarrow 4x-3y=0.

Thus, the correct options are (A) and (C).

6 0
3 years ago
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