Refer to the attachment
A commercial jet liner hits an air pocket and drops 223 feet. After climbing 177 feet it drops another 162 feet. What is its ove
1 answer:
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Answer:
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Work Shown:
Apply the following trig identity
Now let's rationalize the denominator
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As confirmation, you can use the idea that if x = y, then x-y = 0. We'll have x = tan(165) and y = -2+sqrt(3). When computing x-y, your calculator should get fairly close to 0, if not get 0 itself.
Or you can note how
which helps us see that they are the same thing.
Further confirmation comes from WolframAlpha (see attached image). They decided to write the answer as but it's the same as above.
Answer:
see below
Step-by-step explanation:
For the HL theorem to be applicable, the hypotenuses must be the same length:
x+3 = y-1
and the marked legs must be the same length:
y-3 = 2x-1
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Recognizing y-3 = (y-1) -2, we can substitute into the second equation using the first equation:
(y -1) -2 = 2x -1
(x +3) -2 = 2x -1 . . . substitute for y-1
2 = x . . . . . . . . . . add 1-x to both sides
Then the first equation tells us ...
x+4 = y = 2+4 = 6
The values of x and y are ...
x = 2, y = 6
