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Answer: Choice D</h3>
The plus/minus of the following: 1/2, 1, 2, 5/2, 4, 5, 10, 20
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Explanation:
Refer to the rational root theorem. To find the possible rational roots, we divide the factors of the last term 20 over the factors of the first coefficient 2.
- Factors of 20 are: 1,2,4,5,10,20
- Factors of 2 are: 1,2
Dividing those said factors leads us to the list in choice D. We include the positive and negative versions of each result. For example, divide 10 over 2 to get 10/2 = 5 as one possible root (which leads to -5 as well).
A table like the one shown below might be handy to keep track of all the terms.
Any number from -10 to -∞ would be correct. One example is -79.
Answer:
61.97 feets
Step-by-step explanation:
Using trigonometry :
Horizontal distance between the person and building,
Let distance = d
Tan 15 = 15 / d
0.2679491 * d = 15
d = 15 / 0.2679491
d = 55.980781
To obtain the height, h :
tan 40 = (h-15)/d
d = 55.98
h-15 = 55.98 (tan 40°)
h - 15 = 55.98 * 0.8390996
h - 15 = 46.972797
h = 46.972797 + 15
h = 61.972797
h = 61.97 feets