You are standing 60 feet from the base of a 20-foot tall flagpole. What is 1
1 answer:
Answer: The angle of elevation is 18.4 degrees (Approximately)
Step-by-step explanation: Please refer to the picture attached for more details.
The pole from top to bottom is 20 feet tall and is depicted as line FB. An observer is standing at a distance of 20 feet from the base of the pole, and that is depicted as line BA. The observer who is at point A looks up to the top of the flagpole at an angle of elevation shown as angle A.
Using angle A as the reference angle, line FB which is 20 feet would be the opposite (facing the reference angle), while line BA which is 60 feet would be the adjacent (that lies between the right angle and the reference angle).
Therefore, to calculate angle A;
Tan A = Opposite/Adjacent
Tan A = 20/60
Tan A = 1/3
Tan A = 0.3333
Checking with your calculator or table of values,
A = 18.4349°
Rounded to the nearest tenth,
A ≈ 18.4°
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Answer:
a) The decimal point is 1 digit(s) to the right of the |
0 | 6
1 | 0
2 | 35
3 | 26
4 | 1
5 | 2257
6 | 045
7 | 0456789
8 | 001125
9 | 258
b) The relative frequency histogram as attached diagram.
As shown, the plot is skewed to the left.
c)
i) mean = 62.7
ii) median = 72
iii) Standard deviation = 24.87923
Step-by-step explanation:
a) The first approach is to sort the data in ascending or descending order. Next, we Identify the minimum grade and the maximum grade. We then list the stems based on the minimum and maximum. And we construct the stem and leaf diagram as show. The first digit represents the stem and the last digit represents the leaf.
As shown, all the grade are two digits value, with minimum as 06 and maximum as 98. In this case, the first stem is 0 and the last stem is 9.
Others (b & c) are just the usual calculations.
