Answer:
<em>The correct option is: C. 
</em>
Step-by-step explanation:
The two angles of the triangle are given as 60° and 60°
As the sum of all three angle in any triangle is always 180°, so the measure of the third angle will be: 180°-(60°+60°) = 180° - 120° = 60°
Now each angle of the triangle is 60°, it means the triangle is equilateral.
The base of the triangle is given as 12. So, the length of each side will be 12.
That means, the value of 
Now in the left right triangle.....
So, the value of 
Answer:
Step-by-step explanation:
Height of wall = 10ft
Length of ladder = 12ft
Angle of elevation be x
Sin x = opp/hyp
Sin x = wall height/length of ladder
Sin x = 10/12
Sin x = 0.83
X = Sin-¹ (0.83)
X = 56.44°
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Answer:
a) 17.09 hours
b) The 95% confidence interval estimate of the population mean flying time for the Pilots is between 31.91 hours and 66.09 hours
Step-by-step explanation:
We have the standard deviation of the sample, so we use the t distribution to solve this question.
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 = 49 - 1 = 48
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 48 degrees of freedom(y-axis) and a confidence level of 
. So we have T = 2.0106
The margin of error is:
M = T*s = 2.0106*8.5 = 17.09
s is the standard deviation of the sample. 17.09 hours is the answer for a.
The lower end of the interval is the sample mean subtracted by M. So it is 49 - 17.09 = 31.91 hours
The upper end of the interval is the sample mean added to M. So it is 49 + 17.09 = 66.09 hours
The 95% confidence interval estimate of the population mean flying time for the Pilots is between 31.91 hours and 66.09 hours
X + y = 180
x = 4y
Plug that in and you get: 4y + y = 180
5y = 180
y = 36
If you want the larger angle, simply plug in y to x = 4y
So: x = 4(36) = 144
The smaller angle is 36 degrees, and the larger angle is 144 degrees.
