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Mandarinka [93]
3 years ago
9

From a balloon 760 feet high, the angle of depression to the ranger headquarters is 89°18'. How far is the headquarters from a p

oint on the ground directly below the balloon (to the nearest foot)?
Mathematics
1 answer:
balu736 [363]3 years ago
7 0
Tanα=h/d

d=h/tanα, h=760 and α=89°+18'(1°/60')=89.3°

d=760/tan89.3° ft

d≈9 ft
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Anna71 [15]

Answer:

The coordinates of the image are

W'(2,-4)

X'(3,-6)

Y'(6,0)

Z'(5,-2)

Step-by-step explanation:

we know that

The translation is 8 units  right and 3 units down

so

The rule of the translation is

(x,y) ----> (x+8,y-3)

Apply the rule of the translation to the coordinates of the pre-image WXYZ to obtain the coordinates of the image W'X'Y'Z'

coordinate W'

W(-6, -1) ----> W'(-6+8,-1-3)

W(-6, -1) ----> W'(2,-4)

 coordinate X'

X(-5, -3) ----> X'(-5+8,-3-3)

X(-5, -3) ----> X'(3,-6)

coordinate Y'

Y(-2, 3) ----> Y'(-2+8,3-3)

Y(-2, 3) ----> Y'(6,0)

coordinate Z'

Z(-3, 1) ----> Z'(-3+8,1-3)

Z(-3, 1) ----> Z'(5,-2)

therefore

The coordinates of the image are

W'(2,-4)

X'(3,-6)

Y'(6,0)

Z'(5,-2)

8 0
4 years ago
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Kaylis [27]
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Hope this helped
7 0
3 years ago
To covert 5 meters to feet, you need to...
Natali5045456 [20]

Hello!

So 1 meter is 3 feet. So if we have 5 meters, we then multiply 5×3 and your answer will be 15 feet.

I hope it helps!

3 0
3 years ago
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shutvik [7]

Answer:

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Step-by-step explanation:

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solong [7]
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