Answer:
-35.626 < temperature < 733.928 . . . . degrees F
(-35.626, 733.928)
Step-by-step explanation:
It is convenient to let a calculator evaluate the expression for converting °C to °F.
-35.626 < temperature < 733.928 . . . . degrees F
(-35.626, 733.928) . . . . . . . . . . . . . . . . . in interval notation
_____
The given relation is C = 5/9(F -32). The inverse relation is F = 9/5C +32. That is the relation we need to use to answer this question.
<h3>
Answer: 38.66 degrees</h3>
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Explanation:
As you stated in problem 4, tan(angle) = opposite/adjacent
We'll use this idea to help find angle Z. First lets set up the proper tangent ratio for this problem
tan(Z) = XY/YZ
tan(Z) = 8/10
tan(Z) = 0.8
To isolate Z, we need to undo the tangent function. We will use the inverse tangent or the arctangent function to do this.
tan(Z) = 0.8
arctan( tan(Z) ) = arctan(0.8)
Z = 38.6598 which is approximate
This rounds to 38.66
From P to the horizon must be tangent to the curvature of the earth...So P to the center of the earth is the hypotenuse...From the Pythagorean Theorem...
h^2=x^2+y^2 in this case
(3959+15.6)^2=x^2+3959^2
x^2=(3974.6)^2-(3959)^2
x^2=123764.16
x=√123764.16 mi
x≈351.80 mi (to the nearest one-hundredth of a mile)
