Quinn is flying a kite. The angle of elevation formed by the kite string and the ground is 46°, and the kite string forms a stra
1 answer:
<h3>Answer: 58 feet</h3>
====================================================
Check out the diagram below.
We have a right triangle such that the vertical leg is unknown. We'll call it x. This is opposite the reference angle 46°
The hypotenuse is the length of the string, which is 80 ft.
We use the sine ratio to tie the opposite and hypotenuse together.
sin(angle) = opposite/hypotenuse
sin(46) = x/80
80*sin(46) = x
x = 80*sin(46)
x = 57.54718 approximately
x = 58 feet
The kite is 58 feet off the ground.
For comparison, a 6 story building is 6*10 = 60 ft tall, assuming each story is 10 ft tall. So this kite is about 2 feet short of the top of the building.
Edit: I changed 56 to 58
You might be interested in
Answer:
If we compare the p value and the significance level given and we can see that
so we can conclude that we have enough evidence to FAIL reject the null hypothesis, so we can't conclude that the true average speed is lower than 25 mph at 5% of signficance.
Step-by-step explanation:
Data given and notation
represent the sample mean
represent the sample standard deviation
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
t would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the true mean for the average speed is lower than 25 mph, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:
(1)
Calculate the statistic
We can replace in formula (1) the info given like this:
P-value
The first step is calculate the degrees of freedom, on this case:
Since is a one side test the p value would be:
Conclusion
If we compare the p value and the significance level given and we can see that
so we can conclude that we have enough evidence to FAIL reject the null hypothesis, so we can't conclude that the true average speed is lower than 25 mph at 5% of signficance.
