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zysi [14]
1 year ago
10

Kurt is flying his airplane over a campground. He spots a small fire below at an angle of depression of 32 degrees. If the horiz

ontal distance from Kurt’s plane to the fire is 3600 feet, find the approximate altitude of his plane.
Mathematics
1 answer:
Crank1 year ago
7 0

Answer:

3293 ft to nearest tenth = side

Step-by-step explanation:

To find altitude this is the same in trigonometry as finding the side and we use calculation below in finding the hypotenuse which is same term as side for the angle of depression just to double check that height (altitude is less than slope in calculation).

sin (32) = 0.9271838546

3600/0.9271838546 = 3882.725074

= 3883 ft to nearest tenth. = slope

Then cos (32)x3882.725074 = 3292.737608

= 3293 ft to nearest tenth = side

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fgiga [73]

Value of x is: x=6\pm\sqrt{23}i

Option B is correct option.

Step-by-step explanation:

We need to solve the equation x^2-12x+59=0 and find value of x.

Using quadratic formula:

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

Putting values of a, b and c and finding the value of x

a=1, b=-12 and c=59

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-(-12)\pm\sqrt{(-12)^2-4(1)(59)}}{2(1)}\\x=\frac{12\pm\sqrt{144-236}}{2}\\x=\frac{12\pm\sqrt{-92}}{2}\\x=\frac{12\pm\sqrt{92}i}{2}\\We\,\,know\,\sqrt{-1} \,\,is\,\,i\\x=\frac{12\pm2\sqrt{23}i}{2}\\x=\frac{2(6\pm\sqrt{23}i)}{2}\\x=6\pm\sqrt{23}i

So, value of x is: x=6\pm\sqrt{23}i

Option B is correct option.

4 0
2 years ago
Read 2 more answers
4(5x−3)+5x+5 = 118<br><br> solve for x
EleoNora [17]

Answer:

x=1+2/15

Step-by-step explanation:

4(5x-3)=5x+5=118

We move all terms to the left:

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We multiply parentheses

20x-(5x+5)-12=0

We get rid of parentheses

20x-5x-5-12=0

We add all the numbers together, and all the variables

15x-17=0

We move all terms containing x to the left, all other terms to the right

15x=17

x=17/15

x=1+2/15

   

   

8 0
1 year ago
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stiv31 [10]

Answer:

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8 0
2 years ago
If Mitzi has two dogs, a puppy that weighs 25 pounds and an adult that weighs 80 pounds, how much will it cost to bathe them bot
Sidana [21]

Answer:

The correct answer is A) $105

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It's on Edgen.

4 0
1 year ago
a rectangle pyramid fits exactly on top of a rectangular prism. the prism has a length of 18 cm, a width of 6 cm, and a height o
irina1246 [14]
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I recommend drawing it out... it helps a lot:)
4 0
1 year ago
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