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SSSSS [86.1K]
3 years ago
5

Given the angles in the diagram, who is closer to the treasure chest and why

Mathematics
2 answers:
Klio2033 [76]3 years ago
5 0
Please see attached file for my answer.
Download docx
Yuki888 [10]3 years ago
3 0

<span>Mia is the one who is closer to the treasure chest. A theorem in Triangle Inequalities state that lines opposite of bigger angles have longer sides. In the case of this triangle, the angle opposite of Mia’s path is smaller than the angle opposite of Nigel’s. To confirm the actual distance, the law of sine and law of cosine can be used.</span>

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*Help ASAP Please! Studying for finals and I'm stuck on this question!*
Nezavi [6.7K]
First I am going to assume that these are both right triangles based off of look and because it is much easier. Without it you have to use law of sines or law of cosines...
So to find x you must first find y which can be done simply by using the pythagorean theorem. This theorem is defined as the sum of the squared legs is equal to the sum of the hypotenuse or x^2 + y^2 = z^2

If we substitute in the known values 16^2 + y^2 = 20^2 and solve for y we get that y = sqrt(20^2 - 16^2), this then simplifies to y = 12

Finding x is much more annoying, the easiest way I can immediately see is to find the upper angles by doing sin(16/20) and then 90 - sin(16/20) since the complementary angle is the one you want. I don't have a calculator or a trig table with me right now but I will tell you that x will be equal to 12 ÷ the inverse cosine of the angle (90degrees - sin(16/20)).

I am pretty sure the answer is D though because we know for sure y = 12 and x has to be greater than y because the hypotenuse must be larger than both legs. It could be E but you won't know unless you do the math for x. So it is either D or E but I would be surprised if a Professor made you do all of the work just to say it doesn't work...
8 0
3 years ago
Use a calculator to find the trigonometric value.
Artemon [7]
The answer is 1.804
8 0
3 years ago
Please please help with this question , you will get 10 points if you answer this question, don’t get bothered with 1 point writ
bazaltina [42]

Answer:

11.7

Step-by-step explanation:

pls follow me and !ark as brainliest and follow me to get free points to all your answer's

6 0
3 years ago
Read 2 more answers
Which fraction is less then 1/3 or 1/5
kolezko [41]

Answer:

1/12

Step-by-step explanation:

it is correct i know  it is

3 0
3 years ago
Read 2 more answers
The vertical segment joining A (1,5) and B (1,1) has been graphed on the number plane. Find the length of the segment.
Alecsey [184]

Answer:

4 units

Step-by-step explanation:

because the points have the same x-coordinate, we just need to subtract the y-coordinates to find the distance.

5 - 1 = 4

therefore, the length of the segment is 4 units.

hope this helps! <3

7 0
2 years ago
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