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So here are the rules of horizontal asymptotes:
- Degree of Numerator > Degree of Denominator: No horizontal asymptote
- Degree of Numerator = Degree of Denominator:
- Degree of Numerator < Degree of Denominator: y = 0
Looking at the rational function, since the degree of the numerator is 2 and the degree of the denominator is 1 (and 2 > 1), this means that <u>this function has no horizontal asymptote.</u>
To answer this question, we will use the sine law which is illustrated in the attached image.
We are given that:
The distance from school to library = a
∠A = 32
∠B = 110
b = 2.2
Substitute with the givens in the relation of the sine law to get a as follows:
(sin 32) / (a) = (sin 110) / (2.2)
a = (2.2 sin 32) / (sin 110)
distance from school to library = a = 1.2406 mi
Based on the above calculations, the best choice would be:
B. 1.2 mi
We are given that:
The distance from school to library = a
∠A = 32
∠B = 110
b = 2.2
Substitute with the givens in the relation of the sine law to get a as follows:
(sin 32) / (a) = (sin 110) / (2.2)
a = (2.2 sin 32) / (sin 110)
distance from school to library = a = 1.2406 mi
Based on the above calculations, the best choice would be:
B. 1.2 mi