A 96 ft tree casts a shadow that is 120 ft long. What is the angle to the nearest hundredth the sun makes with the ground?
1 answer:
Answer:
The angle to the nearest hundredths is 38. 66 °
Step-by-step explanation:
From the question above the events will form a right angle triangle. From the triangle above the opposite side is the height of the tree. The adjacent side is the length of the shadow. The x value is the angle formed.
From the triangle,
height of tree (opposite) = 96 ft
length of shadow(adjacent) = 120 ft
angle formed = x
Using the SOHCAHTOA principle,
tan x = opposite/adjacent
tan x = 96/120
tan x = 0.8
x = arctan(0.8)
x = 38.659808254
6, immediately after the decimal → tenth value
5 → hundredth value
9 → thousandth value
The thousandth value(9) is greater than 5 so we give 1 to the hundredth value(5) to make it 6.
To the nearest hundredth ,
x = 38. 66 °
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Answer:
3/4
Step-by-step explanation:
The mean of a data set is synonymous with the average. To find the mean, add up all the values in the data set and then divide by the number of elements.
From the table, there is 12 values. Thus, add up all the 12 values and then divide by 12:
Simplify:
Reduce:
Therefore, the mean of the data set is 3/4.
For the data set, this means that the average person guesses the temperature too high by about 3/4°F.
(Note: the symbol of x with a bar over it denotes the mean of a set)