Angle of elevation is angle measured from horizontal line to line of sight, The distance from the plane to the observer is 25,636 feet approx
<h3>What is angle of elevation?</h3>
You look straight parallel to ground. But when you have to watch something high, then you take your sight up by moving your head up. The angle from horizontal line to the point where you stopped your head is called angle of elevation. See the figure where angle OPD is the angle when observer saw the plane. It is measured from the horizontal line OD.
Refer to the attached figure.
It is given that we have
Length of PD = |PD| = 21,000 feet
Angle ∠OPD = 55°
Assuming length of OP = |OP| = x feet, we get the sin ratio as
(tan 55° was calculated from online calculator)
Thus,
The distance from the plane to the observer is 25,636 feet approx.
Learn more about trigonometric ratios here:
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The next step Juan will take is to multiply the second fraction by (x-2)/(x-2).
Given that Juan needs to rewrite this difference as one expression (3x/(x²-7x+10))-(2x/(3x-15)) and factor the denominator as (3x/(x-2)(x-5))-(2x/3(x-5)).
An algebraic expression in mathematics is an expression composed of variables and constants and algebraic operations (addition, subtraction, etc.). Expressions are made up of concepts.
The given expression is (3x/(x²-7x+10))-(2x/(3x-15))
Firstly, we will factored the denominator as
(3x/(x-2)(x-5))-(2x/3(x-5)).
Now, we will multiply and divide the second fraction by (x-2), we get
(3x/(x-2)(x-5))-((2x(x-2))/3(x-5)(x-2)).
Hence, the next step when subtracting these expressions (3x/(x-2)(x-5))-(2x/3(x-5)) is multiply the second fraction by (x-2)/(x-2).
Learn more about algebraic expression from here brainly.com/question/4344214
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Answer:
The probability that the first card chosen is club and second card chosen is of heart is .
Step-by-step explanation:
Total number of cards in the deck is 52 (total number of cases).
Probability of an event E can be formulated as:
For event A, number of cards of type club = 13 (favorable cases)
So,
For event B, number of cards of type heart = 13 (favorable cases)
So,
It is given that card is replaced before choosing the second card.
These events A and B are independent events, happening of one event does not effect the happening of other. And probability of both happening together can be found as following:
The probability that the first card chosen is club and second card chosen is of heart is 
.
Answer:
There is a 95% probability that the portfolio would not loose more than 30% of its value.
Step-by-step explanation:
The confidence interval for proportions (<em>p</em>) is:
The information provided is:
For 95% confidence level the critical value of <em>z</em> is:
The 95% confidence interval for average annual return is:
The lower limit of the 95% confidence interval is -28%.
This implies that the portfolio would not loose more than 28% of its value.
Thus, there is a 95% probability that the portfolio would not loose more than 30% of its value.
Answer: The movie theater sold 434 a day
Step-by-step explanation:
How I got 434 a day
So
If you multiply 434 x 6 = 2,604
so they sold 2,604 in 6 days.
Let me know if I did something wrong.
