Melanie is standing on the 10 m diving platform. Her coach is on the ground to the
1 answer:
Answer: Distance between parent and coach is 24.05m
Step-by-step explanation:
The angle of sight from coach to the ground (θ) = 38°
The angle of sight from the parent to the ground (θ) = 30°
The diving platform height = 10m
Calculating the horizontal distance (x) from coach to Melanie:
Tanθ = opposite / adjacent
Tan 38° = 10 / x
x = 10 / 0.7812856
x = 12.79m
Horizontal distance (y) from parent to Melanie:
Tanθ = opposite / adjacent
Tan 30° = 10 / y
y = 10 / 0.5773502
y = 17.32m
Angle at the diving platform base between coach and parent = 105°
To find the distance (a) from coach to parent, we use the cosine law.
a^2 = x^2 + y^2 - 2bcCosA
Here, a, b, and c denote side lengths, and A is the angle between them
Thus,
a^2 = 12.79^2 + 17.32^2 - 2(12.79)(17.32)Cos105°
a^2 = 163.5841 + 299.9824 − (-114.6686)
a^2 = 163.5841 + 299.9824 + 114.6686
a^2 = 578.2351
a = √578.2351
a = 24.046519
a = 24.05m
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Answer:
At least 315
Step-by-step explanation:
A journalist intends to find the average annual salary of CEOs within the S&P 1,500. Due to time constraints, a sample is used.
Standard deviation of the sample (s) = 449300
Sample size = n
Permissible margin of error = 50000
Z critical value = 1.96
Thus, 1.96 times the standard error equals 50000.
Standard error equals 25510.20
Standard deviation divided by the square root of n = 25510.20
By simplifying, we can derive:
Thus, the minimum sample size required is 315.
To start, we will shift the non-repeating segment of the decimal to the left side by dividing by a power of 10.
Then we will assign a variable to represent the value and also shift the repeating segment to the left.
Essentially, the concept here is that we can denote the repeating portion with a variable, let's say "x", and move forward with the calculation;
you can verify that using your calculator.
Then we will assign a variable to represent the value and also shift the repeating segment to the left.
Essentially, the concept here is that we can denote the repeating portion with a variable, let's say "x", and move forward with the calculation;
you can verify that using your calculator.