A pole 11 feet tall is used to support a guy wire for a tower, which runs from the tower to a metal stake in the ground. After placing the pole, Rashaad measures the distance from the pole to the stake and from the pole to the tower, as shown in the diagram below. Find the length of the guy wire, to the nearest foot.
The given question is on trigonometry which requires the application of required function so as to determine the value known. So that the length of the guy wire is 67.0 feet.
Trigonometry is an aspect of mathematics that requires the application of some functions to determine the value of an unknown quantity.
Let the length of the guy wire be represented by l, and the angle that the guy wire makes with the stake be θ. So that applying the appropriate trigonometric function to determine the value of θ, we have:
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
= [tex]\frac{11}{4}[/tex]
Tan θ = 2.75
θ = [tex]Tan^{-1}[/tex] 2.75
= 70.0169
θ = [tex]70^{o}[/tex]
Considering triangle formed by the tower and the stake to determine the value of l, we have;
Cos θ = [tex]\frac{adjacent}{hypotenuse}[/tex]
Cos [tex]70^{o}[/tex] = [tex]\frac{23}{l}[/tex]
l = [tex]\frac{23}{Cos 70^{o} }[/tex]
= [tex]\frac{23}{0.3420}[/tex]
l = 67.2515
l = 67 feet
The length of the guy wire is 67 feet.
For more on trigonometric, check: https://brainly.com/question/6459892
how many ants will there be in the ant farm?
Answer:
Collect as many ants as you can with the container you have provided. A excellent approach to do this is to sprinkle some sugar or bread crumbs in a container and position it near the ant nest, where the ants will gather. A reasonable starting point is about 100.
Step-by-step explanation:
Hope it helps:)
pls help me with this question ...
Here is ur perfect answer
Answer:
x = 207
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
([tex]\sqrt{x}[/tex] )² + 7² = 16²
x + 49 = 256 ( subtract 49 from both sides )
x = 207
What type of angle is 90 degrees
Answer:
Obtuse or right angle
Step-by-step explanation:
Also you should stop making your question worth so many points
find the sum of the first 8 terms of the geometric sequence 2,4,8,16,..
(with solution)
PA HELP PO THANKYOUU
Answer:
I think the common difference is 2. The formula to create the sequence is n (number) is multiplied by 2.
1 x 2 = 2
2 x 2 = 4
4 x 2 = 8
8 x 2 = 16
16 x 2 = 32
32 x 2 = 64
64 x 2 = 128
128 x 2 = 256
256 is the 8th term of the sequence. Since your question says that we should look for the sum, add the number of the sequence I guess.
2 + 4 +8 + 16 + 32 + 64 + 128 + 256 = 510
The purpose of a budget is to figure out how to use money in a way that best meets your wants and needs. TRUE OR FALSE. Brainly
Math help because I forget
Answer:
R.I.P
Step-by-step explanation:
goodluck doing that
Question 12 Objective: Given an acute angle of a right triangle, label the hypotenuse, opposite, and adjacent sides. What side is opposite to angle R? What side is adjacent to angle R? R S
Answer:
Opposite: Line SQ
Adjacent: Line SR
Hypotenuse: Line RQ
Step-by-step explanation:
i think the last question today lol
Answer:
the picture is not clear
Step-by-step explanation:
You need to cut a 16 foot long 2x4 into 3.5ft sections. How many ehole sections will you have
a 4 foot statue has a shadow of 3 feet.next to the statue is a telephone pole with a shadow of 18 feet.what is the height of the telephone pole
Answer:
c 15.9 m
Step-by-step explanation:
you are welcome
Find the perimeter. Simplify your answer.
Answer:
perimeter=32t units
Step-by-step explanation:
let:
a=8t-2
b=8t+2
perimeter=2(a+b)
Subtitute values of a and b:
=2(8t-2+8t+2)
=2(16t)
=32t units
Please solve: 6x - y = -1
Answer:
y=6x-1
Step-by-step explanation:
6x - y = -1
-y = -1 -6x
y = 6x+1
Answer:
y = 6x + 1
Step-by-step explanation:
hope it helps
should I show steps?
Find the side length of the triangle 4x+8=3x+12
Answer:
I think it might be 4.
Step-by-step explanation:
:)
I found something that says 6x or something if that helps?
I hope you get it right!!!
PLEASE HELP I NEED HELP
Which verb of ser do I use?
Example: son, sois, somos, es, eres, soy
Ricardo y yo _____.
I WILL GIVE BRAINLIEST
Answer:
somos
Step-by-step explanation:
somos means us
Ricardo and us
A circle has a diameter of 62 meters. What is the circumference of the circle
Answer:
the circumstance is 194.78
Express 8.4km/min in km/hr
Please answer quickly i have exam tomorrow!!!
Answer:
540km/hr
Step-by-step explanation:
8.4km/min×60min/km
=8.4/60
=540km/hr
What is 2+21*13-45+12*67
Answer:
1034
Step-by-step explanation:
Answer:
1034
Step-by-step explanation:
help it’s due monday number 12
Answer:
a. 5
Step-by-step explanation:
Given that Sophia bought 3 bags of candy, and each bag has 15 pieces:
[tex]3*15 = 45[/tex]
Sophia has 45 total pieces of candy.
If Sophia would like to fill 9 party bags with the candy she has bought, she must divide the 45 total pieces of candy into the 9 party bags:
[tex]45[/tex] ÷ [tex]9=5[/tex]
Therefore, each party bag will have 5 pieces of candy in it.
Answer:
A. 5
Step-by-step explanation:
A, since you can follow these steps:
First, find how many total pieces of candy must be distributed. This is always what needs to be answered in this sort of question.
In this case, it is 3 bags of candy ⋅ 15 pieces of candy in each.
The result - from 3(15) - is 45 total pieces of candy.
Now, we see that we're distributing that value among 9 people (this is another correct way of wording it).
So the result is 45/9, which then results in 5 pieces of candy for 9 guests.
I hope this helped a bunch! Tell me if you need any further assistance...
( :
I will give BRAINLIEST plz help
Answer:
-0.37
-2.86
0.91
0.19
1.46
Step-by-step explanation:
Which expression can be placed on the right side of the equals sign to form an equation? 6+24= 7+3⋅5 4⋅103+96 3⋅10+2 7²
hurry please im timed whoever gets the correct answer ill give brainliest
Answer:
the answer is 7 + 3 . 5
Step-by-step explanation:
-8 less than a number is no more than 12
Answer:
-8 < x ≤ 12
Step-by-step
-8 less than a number would give you
-8 <
a number no more than 12 would give you
x ≤ 12
giving x because we dont know what the number is-
so your full anser would be-
-8 < x ≤ 12
Please help me
20 points
Answer:
1). Simplify the expression.
Exact Form:
( [tex]\frac{37}{25}[/tex] )
Decimal Form:
1.48
Mixed Number Form:
( [tex]1\frac{12}{25}[/tex] )
2). Simplify the expression.
91.46
3). Simplify the expression.
Exact Form:
[tex]\frac{17}{24}[/tex]
Decimal Form:
0.7083 ( bar notation)
4). Simplify the expression.
81.49
DIRECTIONS:give the formula for each surface area.
pls answer thank you!!
[tex]\boxed{\sf Area_{(Square)}=(side)^2}[/tex]
[tex]\boxed{\sf Area_{(Rectangle)}=Length\times Breadth}[/tex]
[tex]\boxed{\sf Area_{(Rhombus)}=\dfrac{1}{2}\times Diagonals}[/tex]
[tex]\boxed{\sf Area_{(Triangle)}=\dfrac{1}{2}\times Base\times Height}[/tex]
30 65 and 75 lcm12 24 36 and 48 lcm6 8 15 and 35 lcm20 25 35 and 70 lcm18 20 24 30 lcm
how much time is required to change 22Ns momentum by a force of 20N.
Answer: time is 1.1 sec
Step-by-step explanation:
Answer:
1.1s
Step-by-step explanation:
t=m/F
t=time, m=momentum, F=Force
t=22/20= 1.1s
PLS HELP ME
How do you find the radius???
Answer:
r = 15
Step-by-step explanation:
Using Pythagoras' identity in the right triangle OAB
with OM and OB the radii r of the circle
OA² = OB² + AB²
(r + 10)² = r² + 20² ← expand left side using FOIL
r² + 20r + 100 = r² + 400 ( subtract r² from both sides )
20r + 100 = 400 ( subtract 100 from both sides )
20r = 300 ( divide both sides by 20 )
r = 15
True or False: If I am a boy and you are a person, what color is the leaf in the winter time on a pole?
What? hold up my brain hurts! you made me confused!!
Answer:
There are no leaves in the winter except on evergreens and those are green.
Step-by-step explanation:
A stick 1 meter long casts a shadow 0.6 meters long. A building casts a shadow 25 meters long. How tall is the building (to 2 decimal places)
Answer:
41.67
Step-by-step explanation:
Using the tangent on the stick with shadow:
tan(θ) = [tex]\frac{1}{0.6}[/tex]
Using the tangent on the building:
tan(θ) = [tex]\frac{h}{25}[/tex]
⇒ h = 25 · tan(θ)
= 25 · [tex]\frac{1}{0.6}[/tex]
⇒ h = 41.66... ≈ 41.67
please help, please and ty.
Answer:
l.y=4
m.y=-2x+4
n.1x-1
p.x=-4
Step-by-step explanation:
The equations of the lines given in the graph will be,
y = x - 1
y = -2x +4
y = 4
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
For line one the points are:-
( 3,2 ) and ( 1,0)
Slope = ( 0 -2 ) / ( 0 - 3 )
Slope = 1
The equation will be,
y = x + c
0 = 1 + c
c = -1
For line two the points are:-
(0,4) and (2,0),
Slope = ( 0 - 4 ) / ( 2 - 0 )
Slope = -2
The y-intercept will be,
y = mx +c
y = -2x + c
c= 4
The equation can be written as:-
y = -2x +4
The equation of the line parallel to x-axis is,
y = 4
To know more about an equation of the line follow
https://brainly.com/question/18831322
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