Answer: to tell you the truth i hate when the imposter is sus dont you
Step-by-step explanation:
You can consider the tree perpendicular to its shadow, therefore you get a triangle rectangle of which you know the two legs and you need to find the angle between the shadow and the hypothenuse, opposite to the tree.
In this case, the angle α can be easily found with trigonometry:
tan α = (opposite side / adjacent side)
Therefore:
α = tan⁻¹ (tree / shadow) = tan⁻¹ (10 / 14) = 35°
NOTE:
tan⁻¹ is sometimes found written as arctan.
Answer:
The 95% confidence interval for the population proportion is (0.778, 0.884).
Step-by-step explanation:
We have to calculate a 95% confidence interval for the proportion.
The sample proportion is p=0.831.
The standard error of the proportion is:

The critical z-value for a 95% confidence interval is z=1.96.
The margin of error (MOE) can be calculated as:

Then, the lower and upper bounds of the confidence interval are:

The 95% confidence interval for the population proportion is (0.778, 0.884).