A tower is 234 meters tall. Jaylon is looking up at the top of the tower and thinking it would be cool to string a zip line from the top of the tower to a platform that is 1.9 meters high. If the angle formed between the zip line and tower would be 76 degrees how many meters of the line is neded?
Answers
Answer:
A length of 959.401 meters is needed for the zip line is needed to string it from the top of the tower to the platform.
Step-by-step explanation:
The geometrical representation of the statement is summarized in the figure below attached. The length of the line is represented by hypotenuse of the right triangle, whose value is calculated by the help of trigonometrical relations:
[tex]\cos \alpha = \frac{h}{r}[/tex] (1)
Where:
[tex]\alpha[/tex] - Angle formed between the zip line and the tower, measured in sexagesimal degrees.
[tex]h[/tex] - Vertical distance between the tower and the platform, measured in meters.
[tex]r[/tex] - Length of the zip line, measured in meters.
If we know that [tex]\alpha = 76^{\circ}[/tex] and [tex]h = 232.1\,m[/tex], then the length of the zip line is:
[tex]r = \frac{h}{\cos \alpha}[/tex]
[tex]r = \frac{232.1\,m}{\cos 76^{\circ}}[/tex]
[tex]r = 959.401\,m[/tex]
A length of 959.401 meters is needed for the zip line is needed to string it from the top of the tower to the platform.
Related Questions
The elevator in a new building travels a maximum distance of 35.2 yards. Determine the estimated distance traveled in meters.
1 m = 1.1 yd
Answers
Answer:
I need help with this one toooo T~T
Step-by-step explanation:
1. Yes U,U
1. a). A recipe uses 600 mL of flour for every 150mL of sugar. How much flour would be needed
when 450 mL of sugar is used?
Answers
Answer:
it is 750 ml of flour this is the answer
Answer:
1800 mlStep-by-step explanation:
Given
600 ml per 150 mlx ml per 450 mlRatio as per given
x/600 = 450/150x = 600*450/150 = 1800 mlpls help i will give u brianliest!
Answers
Answer:
Negative, Zero, Undefined and Positive
Step-by-step explanation:
Negative slope: angles downward
Zero slope: y value doesn't change
Undefined slope: x value doesn't change
Positive slope: angles upwards
Are these proportional or non proportional and why???
Answers
Which is the best estimate of 11
Answers
Answer:
4 would be the answer hopefully
Answer:
4
Step-by-step explanation:
11 1/5 + 2 3/4 = 224/55
224/55 in simplify form is 4.073
Which is closets to 4.
Which of the following is the same as 727.526? In word form btw! ty
Answers
Answer:
seven hundred twenty-seven and five hundred
twenty-six thousandths
Step-by-step explanation:
Can someone help me?
Answers
Answer:
B
Step-by-step explanation:
because if you think about it congruent sides are the ones that are equal
What ratio is equivalent to 7:350
Answers
Answer:
2%
Hope to help
23^x=6
can someone show me how to solve this
Answers
I don’t know the exact formula used but 23 to power of negative 24 and 23 to the power of .6 are close to 6.
two thousand ticketa are sold at a raffle for a chance to win a gaming computer system worth $1800. the tickets are sold for $2 each. if a person buys only one ticket what is the expected value for that ticket?round to the nearest cent if necessary
Answers
Answer:
The expected value of the ticket is -$1.10
Step-by-step explanation:
Here, we want to find the expected value of the ticket sales
We start by calculating the probabilities
The probability that someone wins the system is 1/2000
The probability that a person loses the system is 1999/2000
So the expected value will be;
(1/2000 * 1,800) - (1999/2000 * 2)
= 0.9-1.999 = -1.099
To the nearest cent, this is -1.10
Literally someone, please, anyone, help. i give the rest of my points
Answers
Answer:
a). 3M = [ 6.5 1.3 23.4 ]
[ 8.6 28.6 11.7 ]
b). 2M = [ 10 20 36 ]
[ 24 44 18 ]
The number of each type of toy needed to be double the output.
( It looks like this is connected, if you need help, you can ask me, I have the whole PDF. And please give me Brainly for this =) Thank you. )
what is the exact value of cos(11pi/21)cos(pi/7)-sin(11pi/21)sin(pi/7)?
a. -squr3/2
b. -1/2
c. 1/2
d. squr3/2
Answers
Answer:
B -1/2
Step-by-step explanation:
The given trigonometric expression can be evaluated as -1/2.
What are trigonometric ratios?The trigonometric ratios are defined for a right angled triangle.
The example of these ratios are sin, cos, tan, cosec, sec and cot.
The trigonometric ratios are useful in determining the heights and distances of the large objects.
The given trigonometric expression is as below,
cos(11π/21)cos(π/7) - sin(11π/21)sin(π/7)
Suppose, A = 11π/7 and B = π/7
Then, the given expression can be written as,
cosAcosB - sinAsinB
As per the trigonometric identity cos(A + B) = cosAcosB - sinAsinB.
Then, the given expression can be written as,
⇒ cos(11π/21)cos(π/7) - sin(11π/21)sin(π/7) = cos(11π/21 + π/7)
⇒ cos(2π/3) = -1/2
Hence, the exact value of the given expression is -1/2.
To know more about trigonometric ratio click on,
https://brainly.com/question/25122825
#SPJ2
The diagonal length of a rectangular swimming pool can be represented by 10 times the square root of 5. Which expression represents this length?
Answers
Answer:
C
Step-by-step explanation:
the third option correctly shows 10 times the square root of 5 (10[tex]\sqrt{5}[/tex])
The expression represents the diagonal length of the rectangle will be 10√5. Then the correct option is C.
What is the value of the expression?When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.
The diagonal length of a rectangular swimming pool can be represented by 10 times the square root of 5. The sentence can be written in the mathematical form given as,
⇒ 10 × √5
⇒ 10√5
The expression represents the diagonal length of the rectangle will be 10√5. Then the correct option is C.
More about the value of expression link is given below.
https://brainly.com/question/23671908
#SPJ2
Find the perimeter of the figure. Round to the nearest tenth if
necessary.
Answers
Answer:
hfhufittitt748474uuttioe707po5i5tii5i4tio5
PLEASE HELP ME IM TIMED! I'LL GIVE BRAINLIEST!!!
Answers
April invests $30,000, part at 6.5% annual interest and the balance at 4.2% annual interest. How much is invested at each rate if April receives a 1-year interest payment of $1662.50?
Answers
Answer:
$17500 at 6.5% and $12500 at 4.2%Step-by-step explanation:
Given
Let x be the amount invested at 6.5%Then (30000 - x) is invested at 4.2%The equation for the interest:
x*6.5/100 + (30000 - x)*4.2/100 = 1662.500.065x + 1260 - 0.042x = 1662.500.023x = 1662.50 - 12600.023x = 402.5x = 402.5/0.023x = 17500So $17500 invested at 6.5% and $12500 at 4.2%
Answer:
yes
Step-by-step explanation:
GEOMETRY HELP ILL VOTE YOU BRAINLIEST YOU DONT NEED TO SOLVE IT JUST GUIDE ME SO I KNOW WHAT TO DO AND HOW TI GET THE ANSWER
Answers
Answer:
when finding the area of a triangle you need to multiple the base and hight then divide that number by 2
PLZ try and plz help
simplify [tex]\sqrt[4]{2} +\sqrt[7]{2} -\sqrt[3]{2}[/tex]
Answers
Your welcome :)
A car travled 500 miles on 25 gallons of gas
Answers
Your question is incomplete but I'll just say how many gallons it would be for each mile.
Answer:
20
Step-by-step explanation:
500÷25=20
mark brainliest if helped :D
How much would a 25 kg suitcase weigh on the surface of…?
Answers
Answer:
A. 95N
B. IDK
C.225N
D.IDK
Step-by-step explanation:
Solve for v.
12/5 = 6v
solve step by step and have a well explanation.
if you get this correct and solve this question step by step with a good explanation then i will mark you brainliest!
Answers
Answer:
v = 2/5 Or v = 0.4
Step-by-step explanation:
12/5 = 6v
to isolate V divide both sides by 6
(12/5) : (6)= 6v : (6)
For the left side because there is a fraction when you devide you change it into multiplication, flipping the addent and quotient so you’ll have
12/5 * 1/6 (you semplify the cross numbers) you’ll have 2/5
on the right side the 6 cancel each other. Because 6/6 = 1. so you will have 1v which is v.
2/5 = v
or decimal form
0.4 = V
What the meaning of life the universe and everything
Answers
Answer: I think that really depends on what you make it out to be.
Step-by-step explanation: Unfortunately, no one knows what the question is.
For me, it's to choose the best choices for all beings, humans, dogs, birds, all animals and bodies of nothingness should be treated with great curisoity and good intentions.
If fighting is sure to result in victory, then you must fight!
Sun Tzu said that, and I'd say he knows a little more about fighting than you do, pal, because he invented it, and then he perfected it so that no living man could best him in the ring of honor.
Then, he used his fight money to buy two of every animal on earth, and then he herded them onto a boat and then he beat the cra p out of every single one.
And from that day forward any time a bunch of animals are together in one place it's called a 'zoo'!
Unless it's a farm!
Is the expression d^4/c a polynomial
Answers
Answer:
yes
Step-by-step explanation:
hope this helps :)
simplify the expression 11•11•11 using exponent
Answers
Answer:
[tex]11^{3}[/tex]
Step-by-step explanation:
= 33
Rewrite 8 as a complex number,
Answers
Answer:
its just 8 hun
Step-by-step explanation:
sorry its already complex
Answer:
3/8
Step-by-step explanation:
Chance wants to wish his cousin a happy birthday at 9:00am CST. Chance lives in Texas and his cousin lives in Ohio. What time will it be at his cousins's house when Chance calls to say happy birthday?
Answers
Answer:
10:00 am EST in Ohio
Step-by-step explanation:
Using the 50 States Time zones attached in the image below.
Chance who lives in Texas has a Time zone of CST (central standard time), while his cousin who lives in Ohio has a Time zone of EST(eastern standard time).
So if it is 5 pm in CST, it will be 6 pm in EST.
Given that;
Chance wants to wish his cousin in Ohio at 9:00 am CST, then the time it will be at his cousin's house when Chance calls to say happy birthday will be:
9:00 am + 1 = 10 :00 am EST in Ohio
can someone please help me out?
Answers
Answer:
6: Draw a little horizontal line then a downwards slope
7:She hiked 8 miles total
8:the first section is her hiking away from her house, the horizontal line you will draw will be when she was eating lunch, and the downwards slope you draw will be her heading back home.
The price of gasoline drops from $1.00 per
gallon to 95° per gallon. What is the percent of
decrease?
Answers
lmk if it’s the wrong answer
What is 50 divide by 400?
Answers
solve for x 7x-3=5x+5=
Answers
Answer:
x=4
Step-by-step explanation:
7x-3=5x+5
2x-3=5
2x=8
x=4
The value of x in the expression 7x-3=5x+5 is 4
Given
7x-3=5x+5
Here,
The equation is linear in variable x .
7x-3=5x+5
7x - 5x - 3 = 5
2x-3=5
2x = 5 + 3
2x=8
x = 8/2
x=4
Thus the value of x is 4 .
Know more about linear equations,
https://brainly.com/question/19866315
#SPJ6