Answer:
Step-by-step explanation:
The engineer can use a clinometer to measure the angle of elevation of the top of the tree. Let the height of the tree be represented by x, the she could determine the distance across the river, d, by applying the trigonometric function.
Tan θ = 
= 
the the distance, d = x ÷ Tan θ
Assume the angle of elevation of the top of the tree is 
, and the height of the tree is 10 m, then the distance, d, across the river would be;
d = 
= 17.3190
d = 17.32 m
The sketch to the explanation is attached to this answer for more clarification.
Answer:
<em>3.12 m</em>
Step-by-step explanation:
13 - 9.88 = 3.12
120+120=240
The roof of the house is 240 ft^2
Answer:
The margin of error for this estimate is of 14.79 yards per game.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
T interval
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 20 - 1 = 19
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 19 degrees of freedom(y-axis) and a confidence level of 
. So we have T = 2.093
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
You randomly select 20 games and see that the average yards per game is 273.7 with a standard deviation of 31.64 yards.
This means that 
What is the margin of error for this estimate?
The margin of error for this estimate is of 14.79 yards per game.
