Tamara wants to calculate the height of a tree outside her home. Using her clinometer, she measures the slope angle from 30 feet
away from the base of the tree and gets an angle of 62.
If Tamara's eye level is 5.5 feet above the ground, how tall is the tree? (Round your answer to the nearest hundredth)
Answer
Answers
Answer:
61.922 feet
Step-by-step explanation:
For this problem, we simply want to set up a trigonometric function that computes the height of the tree, and we want to add the height of Tamara.
We are given a distance from the tree of 30 feet with an angle from her eye-level to the top at 62 degrees. So we can say the following:
y = tan(Θ) * x
Where Θ = 62 degrees, x = 30 feet, and y is the height of the tree from Tamara's eye level.
y = tan(Θ) * x
y = tan(62) * 30
y = 56.422
So we also need to include the height of Tamara to get the total height of the tree from the ground to the top.
56.422 ft + 5.5 ft = 61.922 ft
Hence, the total height of the tree is 61.922 feet.
Cheers.
The height of the tree is 61.92 feet.
Given information:
Tamara wants to calculate the height of a tree outside her home.
She is 30 ft away from the tree.
Tamara's eye level is 5.5 feet above the ground.
The angle of inclination of the top of the tree is 62 degrees.
Let h be the height of the tree.
See the attached image.
Use trigonometric ratios in triangle ABC to calculate the height of the tree as,
[tex]tan62=\dfrac{AB}{BC}\\1.8807=\dfrac{h-5.5}{30}\\h-5.5=56.4217\\h=61.9217\\h\approx61.92\rm\;ft[/tex]
Therefore, the height of the tree is 61.92 feet.
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Related Questions
solve for v bellow. 8(z-5)=16
Answers
Answer:
z=7
Step-by-step explanation:
8(z-5)=16
Divide by 8
8/8(z-5)=16/8
z-5 = 2
Add 5 to each side
z-5+5 = 2+5
z = 7
Answer:
z = 7
Step-by-step explanation:
Expand 8 ( z - 5 ) = 16 first.
8z - 40 = 16
Move 40 to the other side.
8z = 40 + 16
8z = 56
z = 7
The robotics team needs to purchase $350 of new equipment. Each of the students on the team plans to fundraise and contribute equally to the purchase. Which expression represents the amount that each student needs to fundraise? Which expression represents the amount that each student needs to fundraise? Explain your thinking.
Answers
Answer:
s = students, m = money they pay
S(M)=350
The expression that represents the amount that each student needs to fundraise is - y = [tex]$\frac{350}{x}[/tex]
We have robotics team who needs to purchase $350 of new equipment.
We have to determine the expression which represents the amount that each student needs to fundraise.
In a class of 50 students, it was asked to collect a total of $3000 for NGO funding. Find the amount contributed by each student assuming they all pay the equal amount.Assume the amount paid by each student be x. Then -
50x = 3000
x = $60
According to the question, we have -
Assume that the number of students in the robotics team are x.
Assume that the money contributed by each member is $y.
Then, the expression represents the amount that each student needs to fundraise is -
xy = 350
y = [tex]$\frac{350}{x}[/tex]
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Carina spent a total of $5.27 buying a pineapple for $3.40 and some tomatoes that were on sale for $0.85 per pound. To determine the number of pounds of tomatoes that she bought, x, Carina wrote and solved the equation as shown below.
3.40 + 0.85 x = 5.27. 0.85 x = 8.67. x = 10.2 pounds.
Where, if anywhere, did Carina make an error?
Carina did not make any errors.
The initial equation that Carina wrote was incorrect.
Carina should have subtracted 3.40 from 5.27.
Carina should have divided 8.67 by 0.85.
Answers
Answer:
C. Carina should have subtracted 3.40 from 5.27
Step-by-step explanation:
I'm just smart like that
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The mistake that Carina made is she should have subtracted 3.40 from 5.27.
How many pounds of tomatoes was bought?The equation that represents the total amount spent is: $5.27 = $3.40 + $0.85x
In order to determine the value of x, take the following steps:
Combine similar terms: 5.27 - 3.40 = 0.85Add similar terms: 1.87 = 0.85xDivide both sides of the equation by 0.85: 2.2 poundsTo learn more about addition, please check: https://brainly.com/question/349488
This is a Precal question.
Express the given geometric statement about numbers on the number line algebraically, using absolute values.
x is more than 2 units from c
Answers
Answer:
X= 4c The absolute value you can find witht the equation |4c|
Help me plz!!!!!!!!!!!!
Answers
explanation: it is given that the ratio is 5:3 (lillies to daisies). In order to get ten lillies, you would have had to multiply 5 by 10. Since it is a ratio, you have to do the same to the dasies, and you would get 6 dasies. 10+6=16, which is the total amount of flowers.
The number 480 was changed to 4.8 times a
Answers
Answer:
100
Step-by-step explanation:
480/4.8=100
4.8x100=480
Austin started with 26 video games and sold x video games. Caleb started with 40 video games and sold three times as many video games as Austin did. How many video games did Austin sell, given they had the same number of video games left?
Answers
Answer:
The answer is 7 video games
Step-by-step explanation:
The number of video games Austin sold will be 4.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
Austin started with 26 video games and sold x video games. Caleb started with 40 video games and sold three times as many video games as Austin did.
Let x be the number of video games sold and y be the number of video games left. Then the equations will be
y = 26 - x
y = 40 - 3x
From equations 1 and 2, then we have
26 - x = 40 - 3x
3x - x = 40 - 26
2x = 14
x = 4
The number of video games Austin sold will be 4.
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enter in the number below that will make the right expression equivalent to the left expression:
1. 7+2+n=____+n
2. (3+7)+6=____+6
3. 2+(3+7)=2+___
4. 10+2+5=____
5. 7+(-4)+3=____+3
6. -11+8+n=____+n
Answers
2.10+6
3.2+10
4.17
5.3+3
6.-3+n
evaluate the expression -8 + (-15)
Answers
Hey there!
ANSWER: [tex]-23[/tex]EXPLANATION:[tex]-8+(-15)[/tex]
To easily solve this, try removing the negative and add 8 + 15.
[tex]8+(15)=23[/tex]
Now add back the negative.
[tex]-8+(-15)=-23\\-23(ANSWER)[/tex]
Hope this helps and have a great weekend!
[tex]\text {-TestedHyperr}[/tex]
Help me please!!!!!!!!!!!!!!!
Answers
Answer:
The answer is D
Step-by-step explanation:
There are 6 black circles and 2 red circles which could be written as 6 + -2, the positive sign from will turn into a negative bc if the -2, so then it would be 6-2=4
3. A $1,250 deposit for 10 years at a simple interest rate of 5.25%
Answers
Step-by-step explanation:
I=(pxRxt)/100
I=(1250×5.25×10)/100
I=656.25
amount to be paid is $1906.25 pls give me brainliest
HELP PLZZZZ
What are the solutions to the system of equations graphed below? Select all
that apply.
Answers
Answer:
D(3,0) is correct answer
The diagram is not drawn to scale
14.
2x-9
Find the value of x.
Answers
Answer:Step-by-step explanation:
10
The value of the x is 8 if after using the property of a similar triangle.
What is the similarity law for triangles?
It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.
We have a triangle shown in the picture.
By using the property of a similar triangle:
2/1 = 14/(2x-9)
2x - 9 = 7
2x = 7 + 9
2x = 16
x = 8
Thus, the value of the x is 8 if after using the property of a similar triangle.
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Use elimination to solve and match each system of equations to the correct solution.
2x-9y=-51
2x-3y=-9
Answers
Answer:
2x-9y=-51
2x-3y=-9
subtract question ii from i we get
-6y = -42
y =7
put value of y in 1
2x - 63 = -51
2x= 8
x=4
Help ASAP and explain why ?!
Answers
Answer:
A
Step-by-step explanation:
The area equal to a square that is 1 centimeter on each side.
Find the distance between the points L(7, -1) and M(-2, 4).
Answers
Answer:
(5-5)
Step-by-step explanation:
hope this helped
Answer:Not correct
Step-by-step explanation:
Suppose f(x)=4x-2 and g(x)=-2x+1. Find the value of f(5)/g(-3)
Answers
Answer:
17/7 (2 3/7 or 2. 428571...)
Step-by-step explanation:
f(x) = 4x-2
Find f(5)
f(5) = 4(5)-3f(5) = 20-3f(5) = 17g(x) = -2x+1
Find g(-3)
g(-3) = -2(-3)+1g(-3) = 6+1g(-3) = 7Find f(5)/g(-3)
f(5)/g(-3)17/7 (2 3/7 or 2. 428571...)The value of f(5)/g(-3) will be 18/7.
What is substitution method?To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.
Given that;
The value of the function are,
⇒ f (x) = 4x - 2 and
⇒ g(x) = -2x + 1
Now,
Since, The value of the function are,
⇒ f (x) = 4x - 2 and
⇒ g(x) = -2x + 1
Hence, We get;
⇒ f (5) = 4 × 5 - 2
= 20 - 2
= 18
And, g (- 3) = - 2 × - 3 + 1
⇒ g (-3) = 6 + 1
= 7
Thus, The value of f(5)/g(-3) = 18/7
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() + -8= -6 what is the awnser
Answers
Answer:x=2
Step-by-step explanation:
change () to x
x + -8= -6
-6+8=2
x=2
What is the volume of this rectangular prism?
Answers
Answer: V≈5.21 cm³
Step-by-step explanation:
To find the volume of a rectangular prism, you multiply the length, width and height.
[tex]V=wlh[/tex]
Since we were given the length, width and height, we can directly multiply them together.
[tex]V=\frac{5}{2} *\frac{5}{3} *\frac{5}{4}[/tex] [multiply]
[tex]V=\frac{125}{24} =5.21 cm^3[/tex]
Now, we know that the volume is approximately 5.21 cm³ or 125/24 cm³.
The volume of a box 4inches wide and 2 inches high and 5 inches long is
Answers
Answer:
40
Step-by-step explanation:
4x2x5=40, the formula for volume is LxWxH=V length times width times height
what is a number expression that equals 68
Answers
4+5
134_75
56.4+6
68/8.7_2+1
5+1/5x=-1 plz find the answer
Answers
Answer:
X= -6/5
Step-by-step explanation:
Multiply to remove the variable from the denominator.
Hope this helps.
Answer:
Step-by-step explanation:
x/5 + 5 = -1
x/5 = -6
x= -30
It costs $200 for 12 piano lessons . Solve for unit rate or price per one lesson . Can someone help me please ?
Answers
Answer:
it is 16 dollars
Step-by-step explanation:
if you divide 200 by 12 it is 16 aka i used my calculator
Answer:
each lesson would cost $16.70
What is the product of (negative 6) (negative 7) (negative 1)?
–42
–14
14
42
Answers
Answer:
-42
Explanation:
(-6)(-7) = 42
(42)(-1) = -42
Get a calculator homie.
Answer:its negative 42
Caleb needs at least 30 cups for the party he already has 12 cups at least show many more cups does he need
A expression
B equation
C inequality
Answers
How do you know if a whole number is a perfect square?
A. A whole number is a perfect square if it is divisible by 4.
B. A whole number is a perfect square if its square root is an irrational number.
C. A whole number is a perfect square if it is divisible by 2.
D. A whole number is a perfect square if its square root is a whole number.
Answers
Solve for x: 5 - (x + 5) > -2(x + 4) (1 point)
a
x>-8
Ob
X<-8
oc
x>-18
Od
X<-18
Answers
Answer:
x > - 8Step-by-step explanation:
5 - (x + 5) > -2(x + 4)
Expand the terms in the bracket
That's
5 - x - 5 > - 2x - 8
- x > - 2x - 8
Add 2x to both sides
That's
- x + 2x > 2x - 2x - 8
We have the final answer as
x > - 8Hope this helps you
3. Find the solution set for this inequality:
-4(3x - 5) < 2(3x + 4)
Answers
Answer:
Step-by-step explanation:
x>2/3
I need a fast answer !! A bag has 7 blue marbles and 3 red marbles. What is the probability of drawing two red marbles, if the first marble is replaced after it is drawn? A. 1/7 B. 1/3 C. 3/10 D. 9/100
Answers
Answer:
Step-by-step explanation:
9/100 i believe as you would multiply 3/10 by 3/10 due to the fact the marble is being replaced so the probability of getting a red marble the second time will be more unlikely. If I'm right please thank me or give me brainly. Hope this helps :)
The probability of drawing two red marbles, if the first marble is replaced after it is drawn, is 9/100.
What is Probability?
It is a branch of mathematics that deals with the occurrence of a random event.
The probability of drawing a red marble on the first draw is 3/10, since there are 3 red marbles out of a total of 10 marbles.
Since the first marble is replaced before the second draw, the probability of drawing a red marble on the second draw is also 3/10.
To find the probability of drawing two red marbles in a row, we multiply the probabilities of the individual events, since they are independent:
P(drawing two red marbles) = P(red on first draw) × P(red on second draw)
P(drawing two red marbles) = (3/10) × (3/10)
= 9/100
Therefore, the probability of drawing two red marbles, if the first marble is replaced after it is drawn, is 9/100.
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HELP!!! what is the answer to this 5(2)+5(7)
Answers
Answer:
45
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write out expression
5(2) + 5(7)
Step 2: Multiply
10 + 35
Step 3: Add
45
Answer:
45
Step-by-step explanation:
Parenthesis means you would need to multiply
so
(5 x 2) + (5 x 7)
= 10 + 35
add
= 45