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vladimir2022 [97]
3 years ago
8

Find the measure of the indicated angle to the nearest degree​

Mathematics
1 answer:
omeli [17]3 years ago
4 0

\boxed{\sf sin\Theta=\dfrac{P}{H}}

\\ \sf\longmapsto sin\Theta=\dfrac{16}{26}

\\ \sf\longmapsto sin\Theta=\dfrac{8}{13}

\\ \sf\longmapsto sin\Theta=0.5

  • Convert to p/q form

\\ \sf\longmapsto sin\Theta=\dfrac{5}{10}

\\ \sf\longmapsto sin\Theta=\dfrac{1}{2}

\\ \sf\longmapsto sin\Theta=sin30

\\ \sf\longmapsto \Theta\approx30°

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You are in a hot air balloon looking down at two ponds. Pond A which is in front of your balloon, is at an angle of depression t
MatroZZZ [7]

a. See attachment for the labelled diagram

b. Using the sine ratio, distance from the hot air to pond A is 5,038.9 m, while distance from the hot air to pond B is 6,287.1 m.

c. Distance between the two ponds is 1,263.5 m.

<h3>What is the Sine and Tangent Ratios?</h3>

Sine ratio, is: sin ∅ = opposite side/hypotenuse length

Tangent ratio is: tan ∅ = opposite side/adjacent length.

a. The diagram with the appropriate labels is shown in the image attached below.

b. Use the sine ratio to find the distance from the hot air to pond A (CA) and to pond B (CB):

CA = hypotenuse

∅ = 10°

Opposite = 875 m

sin 10 = 875/CA

CA = 875/sin 10

CA ≈ 5,038.9 m (distance from the hot air to pond A)

CB = hypotenuse

∅ = 8°

Opposite = 875 m

sin 8 = 875/CB

CB = 875/sin 8

CB ≈ 6,287.1 m (distance from the hot air to pond B)

c. Distance between the two ponds, BA = BD + DA.

Apply the tangent ratio to find BD and DA

tan 8 = 875/BD

BD = 875/tan 8

BD = 6,225.9 m

tan 10 = 875/DA

DA = 875/tan 10

DA = 4,962.4 m

Distance between the two ponds = 6,225.9 - 4,962.4 = 1,263.5 m.

Learn more about the sine and tangent ratios on:

brainly.com/question/24137232

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8 0
2 years ago
How can I get help with linear equations with fractions? I dont remember how to solve​
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Answer:

to find the missing number, compare both sides of the equation. If the variable terms are the same and the constant terms are different, then the equation has no solutions.

Step-by-step explanation:

to find the missing number, compare both sides of the equation. If the variable terms are the same and the constant terms are different, then the equation has no solutions.

3 0
3 years ago
Consider Michelle and Gladys, two neighbors who each earn the same salary. Gladys pays less in federal income taxes than Michell
goldenfox [79]

Sad to say it is likely D.  If you are in the United States, I wouldn't know what deductions are available, but here are some possibilities.

1. Gladys is a single Mom. She gets to deduct her child.

2. Gladys owns her own home and gets to deduct her municipal tax. Michelle is renting and may be able to deduct something but not as much.

3. Gladys gets to deduct medical expenses. Michelle does not.

4. Gladys has a travelling allowance that is deductible. Michelle does not.

5. Gladys goes to church and tithes. Michelle does not.

6. Gladys has a registered savings plan. Michelle does not.

The problem is that the two women might very well be in a different tax bracket when all the deductions are considered. That depends on how the US system works. I don't think you are supposed to choose A. All other things being equal, they should be in the same tax bracket.

I don't see how B would come about. Usually state is dependent on Federal (it is in Canada anyway).

C is definitely wrong unless the savings plan is registered. Any savings plan that produces dividends or interest that is not registered is taxable.


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