two observers, Anna and Bryan. sight a kite at angles 44 degrees and 66 degrees. respictively. if anna is located 20m from the kite. how far is anna from bryan?
Answers
Answer:
28.6m
Step-by-step explanation:
this question is very incomplete. it requires a number of assumptions to give an answer. the main one - where is Bryan located relative to Anna ? I assume diametrically on the opposite side of the kite. because he has the steeper angle, it is clear that he is nearer to the kite.
so, I guess, we have to add his distance to the kite to her distance to the kite to get the distance between her and him.
but he could be on any point on a circle around the kite to have the same viewing angle, and we would have no clue about where on that circle.
as the other extreme alternative, he could be on the same line to the kite as Anna. and then we would have to subtract his distance from her distance.
but again, we assume he is exactly on the other side of the kite.
anyway, each person creates a right-angled triangle with the kite:
there is the direct line of sight as the base line or Hypotenuse (c).
there is the line on the ground from the person to the point on the ground directly under the kite as one side.
there is the line representing the height of the kite above ground as the other side. we let this start at the height of the eyes of the watching person.
and we assume that both persons are of the same height (so the height of the kite relative to their eyes is the same for both).
let's start with Anna.
the side a of Anna's triangle is
a = 20m
angle between a and c = 44 degrees
we know the angle between a and b is 90 degrees.
therefore the angle between b and c = 180-90-44 = 46 degrees.
now we use the law of sines :
a/sin(bc) = b/sin(ac) = c/sin(ab)
we know sin(ab) = sin(90) = 1
20/sin(46) = b/sin(44)
b = 20×sin(44)/sin(46) = 19.31... m = height of the kite
now to Bryan.
now we know his b (height of the kite) = 19.32... m
his angle between a and c is 66 degrees.
his angle between a and b is also 90 degrees.
therefore his angle between b and c = 180-90-66 = 24 degrees.
19.31/sin(66) = a/sin(24)
a = 19.31×sin(24)/sin(66) = 8.6 m
based on our assumption that they are standing opposite from each other in relation to the kite their distance is
20 + 8.6 = 28.6m
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Answers
If 12% of students of a class of 50 like blue colour, the number of children that like blue is 6
The number of students in the class = 50
12% of the total number of students like blue
Number of students that like blue colour = 12% of 50
Number of students that like blue colour = (12/100) x 50
Number of students that like blue colour = 0.12 x 50
Number of students that like blue colour = 6
Therefore, if 12% of students of a class of 50 like blue colour, the number of children that like blue is 6
Learn more here: brainly.com/question/22055494
Answer:
6 children
Step-by-step explanation:
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f(x)=3x-2
Answers
Answer:
Step-by-step explanation:
hello friend
the answer is +
To find the inverse, interchange the variables and solve for y
(x) =
+
Hope this helps
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Answers
Answer:
-1.15
Step-by-step explanation:
The tangent of the angle can be found as ...
tan(t) = (y-coordinate)/(x-coordinate) = -4/7
The secant of the angle is related by ...
sec(t)² = tan(t)² +1 = (-4/7)² +1 = 65/49
Then the secant of this 2nd-quadrant angle is ...
sec(t) = -√(65/49) = -(√65)/7 ≈ -1.15
Answers
Answer:
The probability that a baby born with Down's syndrome is a boy is .
Step-by-step explanation:
The probability of a baby born being a boy (B) or a girl (G) is same, i.e.
P (B) = P (G) = 0.50.
The probability of a boy is born with Down's syndrome is, P (D|B) = p.
The probability of a girl is born with Down's syndrome is, P (D|G) = q.
The law of total probability states that:
Use this law to compute the probability of a baby born with Down's syndrome as follows:
The conditional probability of an event X given that another event Y has already occurred is:
Compute the probability that a baby born with Down's syndrome is a boy as follows:
Thus, the probability that a baby born with Down's syndrome is a boy is .
Question 18 options:
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3x2−2x−4
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Answers
Answer:
f(x) + g(x) = 7x² - 4x + 2
General Formulas and Concepts:
Algebra I
- Combining Like Terms
Step-by-step explanation:
Step 1: Define
f(x) = 5x² - 3x - 1
g(x) = 2x² - x + 3
Step 2: Find f(x) + g(x)
- Substitute: f(x) + g(x) = 5x² - 3x - 1 + 2x² - x + 3
- Combine like terms (x²): f(x) + g(x) = 7x² - 3x - 1 - x + 3
- Combine like terms (x): f(x) + g(x) = 7x² - 4x - 1 + 3
- Combine like terms (Z): f(x) + g(x) = 7x² - 4x + 2
Answers
Answer:
The equation of the line, using the point-slope form, through (-4,6) that is parallel to the line will be:
Step-by-step explanation:
We know that the slope-intercept form is
Where m is the slope and b is the y-intercept
Given the equation
comparing with the slope-intercept form
slope = m = -5
y-intercept = b = 2
We know that the parallel lines have the same slopes.
so, the slope of the parallel line will be: -5
Thus, the equation of the line, using the point-slope form, through (-4,6) that is parallel to the line will be:
Answer:
y=-x+2
Step-by-step explanation:
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