The angle of elevation of the top of a flagpole from a point on the ground 30 meters
from the base of the flagpole is 18 degrees. What is the height of the flagpole, to the
nearest meter?
I need help
Answers
Answer:
[tex]10\:\mathrm{meters}[/tex]
Step-by-step explanation:
We can use trigonometry for a right triangle to solve this problem:
[tex]\tan 18^{\circ}=\frac{h}{30},\\h=30\cdot\tan 18^{\circ},\\h\approx \fbox{$10\:\mathrm{m}$}[/tex].
The height of the flagpole is 10 meters.
What is angle of elevation?"It is the angle from the horizontal upward to an object."
For given question,
Consider the following figure.
The angle of elevation is 18°
⇒ ∠ACB = 18°
Also, BC = 30 meters
We need to find the height of the flagpole i.e., we need to find the distance AB.
Consider a tan(∠ACB )
[tex]\Rightarrow tan(18^{\circ})=\frac{AB}{BC}\\\\ \Rightarrow 0.3249 = \frac{AB}{30}\\\\ \Rightarrow AB=9.747 ~~meters\\\\\Rightarrow AB\approx 10~~meters[/tex]
Therefore, the height of the flagpole is 10 meters.
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Related Questions
Mike plans to train for a race by running 8 miles each day for 15 days. He will run at an average speed of 6 miles per hour. At that rate, what is the total number of hours Mike will spend running?
Answers
what is the solution of x in 2-3(6-2x)=1/2(10x-8)
Answers
Answer:
answer is 12
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A real estate agency an agent salty house for 313,000. The commission rate is 4.5 for the real estate agency in the commission rate for the agent is 20% of the amount the real estate agent gets. How much did the agency make on the house? How much did the agent earn in comission
Answers
Answer:
313000/100 X 4.5 = 14085
14085/100 X 20 = 2817
14085 - 2817 = 11268
agency = 11268
agent = 2817
please solve these problems
Answers
Answer:
1/3x - 2y - 5x + 8
Step-by-step explanation:
Given:
1/3x - 2y - 5x + 8
1. There are four (4) terms in the expression: 1/3x, -2y, -5x, 8
2. Like terms are terms which have the same thing in common such as 1/3x, -5x in the expression
3. A constant is a term without a variable. 8 is the constant in the expression
4. The variables in the expression are: x and y
5. The coefficients are; 1/3, -2, and -5
Dakota received a mark of 68% on his math test.
The test had 25 questions.
How many questions did Dakota answer correctly?
Answers
The perimeter of a college basket ball court is 96 m and the length is 14m
more than the width. What are the dimensions?
Answers
width=17m
length= 31m
Step-by-step explanation:
width = x
length= x+14
perimeter = 96m
2(x+x+14)=96
4x+28=96
4x=68
x=17
width=17m
length= 31m
m + 7 ≥ 20, if m = 11
Answers
Answer:
False;18 ≥ 20
Step-by-step explanation:
Add 11 and 7
The left side 18 is less than the right side 20 , which means that the given statement is false.
The length of a rectangle is 6 ft longer than its width.
If the perimeter of the rectangle is 68 ft, find its length and width.
Answers
Answer:
the length is 23 ft and the width is 11 ft
Step-by-step explanation:
68/4 = 17
17 17 17 17
11 11 23 23
An apple tree measures 20 1/2 feet tal,over the next five years,it grew to the height of 28 feet. What was the average yearly growth of the apple tree
Answers
Answer:
6.4%
Step-by-step explanation:
We solve this question in using the population growth rate formula
P(t) = Po(1 + r)^t
P(t) = Population after t years = 28 ft
Po = Initial Population = 20 1/2 feet or 20.5 feet
r = Growth rate = ?
t = Time in years = 5
Hence:
28 = 20.5 (1 + r)⁵
Divide both side by 20.5
28/20.5 = 20.5 (1 + r)⁵/20.5
1.3658536585 = (1 + r)⁵
5th root both sides.
5√(1.3658536585) = 5√(1 + r)⁵
1.0643411027 = 1 + r
r = 1.0643411027 - 1
r = 0.0643411027
Converting to percentage
r = 0.0643411027 × 100
r = 6.43411027%
Approximately = 6.4%
The yearly growth rate of the apple tree = 6.4%
Solve the equation below for y.
12(y−8) = 14y−2
Answers
Answer:
y=-47
Step-by-step explanation:
12(y-8)=14y-2
12y-96=14y-2
-96=14y-2-12y
-96=2y-2
-96+2=2y
-94=2y
-94/2=y
-47=y
y=-47
Answer:
-47
Step-by-step explanation:
WILL MARK BRAINLIEST!!!!!! Which of the following graphs represent a function?
Answers
Answer:
The second one
Step-by-step explanation:
the semi circle
Calculate the average rate of change of y=x2+3x−2 on the interval 1≤x≤2
Answers
Answer:
The rate of change for the given function is 6.
Step-by-step explanation:
Given function is:
[tex]y = x^2+3x-2[/tex]
The interval on which we have to find the rate of change is:
1≤x≤2
Here
a = 1
b = 2
We have to find the values of function on both points
Putting 1 in place of input (x)
[tex]y_a= (1)^2+3(1)-2\\= 1+3-2\\=2[/tex]
Putting x = 2
[tex]y_b = (2)^2+3(2)-2\\= 4+6-2\\=8[/tex]
The rate of change is calculated by using the following formula
[tex]Rate\ of\ change = \frac{y_b-y_a}{b-a}\\=\frac{8-2}{2-1}\\= \frac{6}{1}\\=6[/tex]
Hence,
The rate of change for the given function is 6.
Non linear??????????
Answers
Answer:
Yes. That is correct
Step-by-step explanation:
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Find the unit rate.
$11.40 for 6 gallons
Answers
Answer:
$ 1.90 for 1 Gallon
Step-by-step explanation:
11.40/6 = 1.90
another way you can show the answer is: $1.90/1 Gal.
easy question. what’s the value of x :)))
Answers
The correct answer
Which number is a factor of 84?
Answers
Answer:
3
Step-by-step explanation:
Factors of 84 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84.
Question 13 (2 points)
There are a total of 56 students in the art club and the math club. The art club has 12 more students
than the math club. Write and solve a system of equations to find the number of students in each club.
Let x = students in the art club and y = students in the math club
Solution:
students in the art club and
students in the math club
Blank 1:
Blank 2:
Answers
Answer:
The math club has 22 students, and the art club has 34 students.
Step-by-step explanation:
Given that there are a total of 56 students between the art club and the math club, and that the art club has 12 more students than the math club, to determine how many students there are in each club, the following calculation must be performed:
X + X + 12 = 56
2X + 12 = 56
2X = 56 - 12
X = 44/2
X = 22
Thus, the math club has 22 students, and the art club has 34 students.
The graph of h(x)= |x-10| +6 is shown. On which interval is this graph increasing?
Answers
Answer:
Step-by-step explanation:
we have we know that see the graph
Let
Find the slope B The slope is positive
so
The graph is increasing in the interval----------> (10, ∞)
Find the slope AB
The slope is negative
so
The graph is decreasing in the interval----------> (-∞,10)
therefore
What’s the answer for this?
Answers
Answer:
[tex] {y}^{3} [/tex]Step-by-step explanation:
[tex]2 {y}^{3} - {y}^{3} [/tex]
[tex] {y}^{3} \: (collect \: like \: terms)[/tex]
Damien is competing in both swimming and running at a competition. After analyzing himself and his competitors, he knows that he has a 65% chance of winning at swimming and an 85% chance of winning at running. What is the probability that he will win the running event, but lose the swimming event?
Answers
Answer:
[tex]Probability = 0.2975[/tex]
Step-by-step explanation:
Giving:
Swimming
[tex]P(Win[Swim])= 65\%[/tex]
Running
[tex]P(Win[Run])= 85\%[/tex]
Required
Determine the probability of winning at running and losing at swimming
First, we calculate the probability of losing at swimming using
[tex]P(Win) + P(Lose) = 1[/tex]
Substitute 65% for P(Win)
[tex]65\% + P(Lose[Swim]) = 1[/tex]
Collect Like Terms
[tex]P(Lose[Swim]) = 1 - 65\%[/tex]
[tex]P(Lose[Swim]) = 35\%[/tex]
The required probability is then calculated using:
[tex]Probability = P(Win[Run]) * P(Lose[Swim])[/tex]
[tex]Probability = 85\% * 35\%[/tex]
Convert to decimal
[tex]Probability = 0.85 * 0.35[/tex]
[tex]Probability = 0.2975[/tex]
If 2+√2 and 2-√2 are the roots of the quadratic equation
-3x²+11x +c=0, find the value of c. The ans is -6,may you show me the steps?
Answers
hope it will help you..........
The area of a circle will _____ be larger than the area of a polygon circumscribed about the circle.
always
often
sometimes
never
Answers
ASAP
{(-6, 4), (5,-1), (0, 3), (-2,4)}
a. Domain=
b. Range =
c. Function=
Answers
Answer:
domain=-6,5,0,-2
range=4,-1,3,4
Step-by-step explanation:
u gotta ask function to someone else sry
When a ball is thrown into the air, it falls back to the round. What
causes this to happen?
A.The round shape of the ball.
B.The way the ball is thrown.
C.The force of air against the ball.
D.The force of gravity on the ball.
Answers
Answer:
force of gravity on the ball
Step-by-step explanation:
when you throw something up it will come down
I need helppppppppppppppppppppp
Answers
Answer: x=20.6 miles and y=$22.05
Step-by-step explanation: Good luck!
Solve the following system of equations:
y=2x + 1
y = -x+4
x= ?
y=?
Answers
Answer:
x= 1, y=3
Step-by-step explanation:
y= 2x +1
y= -x +4
Those two equation are in a system that means they need to be true in the same time. Just like I would say look for a car that is red and is a truck in this case we look for x and y is true that y = 2x+1 and is true that y= =x+4.
so y= 2x+1 but y is -x+4 so substitute
-x+4 = 2x +1, add x on both sides
4= 2x+x +1, subtract 1 from both sides
4-1 = 2x +x, combine like terms
3 = 3x , divide both sides by 3
x=1
if x=1 we substitute in y= -1 +4 = 3
How is the general shape of a cube root function different from the shape of a square root function?
Answers
Square root functions are in the shape of a parabola, like a giant U, while cube root functions are more wide and swiggly, like a stretched out S.
See :
The general shape of a cube root function is a "S" shape when graphed, while the general shape of a square root function is a "U" shape when graphed.
What is the cube root function?A cube root function is defined as f(x) = ∛x. It has a single value for each positive x and one value for each negative x, so it is defined for all real numbers. It has a vertical asymptote at x=0 and its graph is a reflection of the graph of f(x) = -∛x over the x-axis. It starts at -infinity as x approaches negative infinity, increases to zero as x approaches zero and then decreases to positive infinity as x approaches positive infinity.
A square root function is defined as f(x) = √x. It is defined for all non-negative x and it has a vertical asymptote at x=0. Its graph starts at zero as x approaches zero and increases to positive infinity as x approaches positive infinity.
In summary, the cube root function is defined for all real numbers and has a "S" shape while the square root function is defined for non-negative numbers and has a "U" shape.
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What is the measure of angle RST?
a. 87
b. 131
c. 93
d. 90
Answers
Option c. 93°.
Alright, so in this one um the angle um so uh this angle right here, let's see right here, right which these two angles these angles are going to be equal because those are vertical angles. So these this angle is equal to um So angle P. S. T. Is equal to one half the sum of those two arcs added together, so 43 plus 1 31 So one half of Uh was that 1 74, So 1 74, divide by two 87. So this is 87 and then you take 18687 And you get 93.
What is the measure of ∠ RST?Triangle RST is isosceles means that two of its angles are equal. (1) The measure of angle T is 100 degrees --> since no other angle can be equal to 100 degrees (because in this case, the sum of the angles will be more than 180 degrees) than the other two angles, R and S, are equal: R=(180-100)/2=40.
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Solve for x:
9x - 3-8x = 7 - X
O A. x=-7
B. X = -2
o
C. x = 4
o
D. X = 5
I need help ASAP
Answers
A basketball costs $15.00. If the sales tax is 6%, which equation can be used to find the amount of tax?
Answers
Answer:
Tax amount = $15.00 x 0.06 =0.9
Total amount of the basketball = $15.00 x 1.06 = $15.90
Answer:
Tax amount = $15.00 x 0.06 =0.9Total amount of the basketball = $15.00 x 1.06 = $15.90
Step-by-step explanation: