An 18-foot ladder is leaning against the side of a building such that its base makes an angle of 65º with the ground. How far from the side of the building, b, should the base of the ladder be placed? Round to the nearest tenth of a foot.
Answers
Hello!
This problem is about relating trigonometric values to an unknown side.
We are given an angle side, and we can determine that another angle made would be a 90 degree angle.
Meaning we could solve for the third unknown angle by knowing that the interior angles of a triangle add up to 180 degrees.
[tex]65+90+x+180[/tex]
[tex]x=180-90-65[/tex]
[tex]x=25[/tex]
After knowing this, we could use the law of sines, which states that the ratio of a side and the sin of its opposite angle are equal to any other ratio.
[tex]\frac{16}{sin(90)}=\frac{b}{sin(25)}[/tex]
[tex]b=16sin(25)[/tex]
Make sure to be in degrees when putting this in a calculator.
[tex]b=6.8[/tex]
Hope this helps!
Related Questions
can some one answer my question i put up plz and ill mark you the b and give you 50 points
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Answer:
what is your question
Step-by-step explanation:
When graphing c=12, would you use an closed circle or opened circle?
Answers
Answer:
closed
Step-by-step explanation:
because its = not -< or>-
PLEASE LOOK AT THE PICTURE I REALLY NEED HELP AND ILL APPRECIATE IT IF SOMEONE HELPS ME
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!!!!!!!!!!!!!!!!!!!!!!!!!!!
The range of a data set is 14. If the smallest number in the set is 24.
What is the largest number?
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Hey please help me this is an Angle sum theorem!!!
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Answer:
900° and 1260°
Step-by-step explanation:
The sum of the interior angles of a polygon is calculated as
sum = 180° (n - 2) ← n is the number of sides
(2)
Here n = 7 , then
sum = 180° × 5 = 900°
(3)
Here n = 9 , then
sum = 180° × 7 = 1260°
In ⊙Q, mJK=180° and mLM=116°. What is m∠1?
Answers
Answer:
64degrees
Step-by-step explanation:
From the given diagram;
m<LK = 180degrees
m<LM = 116degrees
Required
m<1
Since <1 and <LM lies on the same straight line, hence;
m<1 + m<LM = 180
m<1 + 116 = 180
m<1 = 180 - 116
m<1 = 64degrees
Hence the measure of m<1 is 64degrees
Answer: 32
Step-by-step explanation:
2a+180+116=360
2a=64
a=32
A local hamburger shop sold a combined total of 711 hamburgers and cheeseburgers on Monday. There were 61 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Monday?
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Answer:
772 sold in monday
Step-by-step explanation:
add the problem
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Answer:
∠ FEG = 50°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
110° is an exterior angle of the triangle, then
5x + 6x = 110
11x = 110 ( divide both sides by 11 )
x = 10
Then
∠ FEG = 5x = 5(10) = 50°
I’m having a hard time
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Answer:
Its the third and fourth answer
What is the median of this group of numbers?
46, 48, 48, 54, 56, 58, 80
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Misha used a probability simulator to pull 3 colored marbles from a bag and flip a coin 50 times. The results are shown in the tables below: Color of Marble Number of Times Rolled Blue 20 Green 18 Yellow 12 Heads Tails 28 22 Using Misha's simulation, what is the probability of pulling a blue marble and the coin landing tails up? (5 points) a 410 over 2500 b 440 over 2500 c 32 over 50 d 42 over 50
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Answer:
Its D hope this help byee
Answer:
It is D I got this correct on the test.
Step-by-step explanation:
MMM HAYYY help me with this pls cus I need help :|.
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Answer:
B-17
Step-by-step explanation:
all the student in the 0 cullum don't count. If you add everyone else up you get 17.
Brainliest?
Answer:
B=17
Step-by-step explanation:
since zero hours counts as no one volunteering we can conclude that Section 0 needs to be erased so it is 17
4 to the power of 6 multiplied by 4 to the power of 7
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Answer:
Step-by-step explanation:
it would be 67108864
Answer:
[tex]4^{13}[/tex]
Step-by-step explanation:
In exponents multiplication, if base are same , add the powers
[tex]a^{m}*a^{n} = a^{m+n}\\[/tex]
[tex]4^{6}*4^{7}= 4^{6+7} = 4^{13}[/tex]
I need help please!!
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B
C
E
F
G
(It’s basically just a game of making pairs)
HELP ME PLEASE I'll give brainliest
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Answer:
angle bcf = 113 degrees :)
Step-by-step explanation:
angle bca and angle dcf equal 134 in total
360-134= 226
226/2=113
Answer:
113
Step-by-step explanation:
Remark
<BCA and <BCF are on the same straight line. That means when added, they equal 180 degrees.
Givens
<BCA = 67
Two Parallel lines
1 Transversal
Solution
<BCA + < BCF = 180
67 + <BCF = 180
<BCF = 180 - 67
<BCF = 113
which equation is equivalent to 5(d+1)
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Answer:
5d + 5
Step-by-step explanation:
Answer:
.............5d+5
What is the slope of the line that passes through the points (-5, 8) and (-11, 8)
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calculate the following -50(20-25)+30(-10+7)-20(+16+12)
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Answer:
-400
Step-by-step explanation:
Mr. Todd runs 3/4 of a mile every 1/10 of an hour. What is his unit rate in miles per hour?
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Answer:
15/2 miles/hour
Step-by-step explanation:
this is the .answer in the pic
how many solutions is there to the system of equations? 2x + 3y = 11 -4x - 6y = -22
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Answer:
x = 4, y = -3
Step-by-step explanation:
{2x - y = 11
{x + 3y = -5
You can use the substitution method by solving for x in the second equation:
x + 3y = -5
Subtract 3y from both sides:
x = -3y - 5
Now, substitute this value for x into the first equation:
2x - y = 11
2(-3y - 5) - y = 11
Distribute:
-6y - 10 - y = 11
Add 10 to both sides:
-6y - y = 21
Combine like terms:
-7y = 21
Divide both sides by -7:
y = -3
Next, substitute this value for x into the second equation:
x + 3y = -5
x + 3(-3) = -5
Multiply:
x - 9 = -5
Add 9 to both sides:
x = 4
The volume of this figure is
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Answer:
8 x 10 = 80
80 divided by 2 = 40
40 x 9 1/2 = 380
From a group of 11 people, you randomly select 2 of them. What is the probability that they are the 2 oldest people in the group? Give your answer as a fraction.
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Answer:
2/11
Step-by-step explanation:
Probability is the LIKELIHOOD of an event.
According to the word problem, there are 11 people in total and 2 of them are being selected.
The probability of them being the 2 oldest people is 2 in 11, or 2/11.
PLEASE HELP ASAP!
The table shows a linear function.
Which equation represents the function?
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Answer:
The answer seems to be A
Step-by-step explanation:
HELP HELP ASAP!!!!!!!!!!!!!!!!!!!!
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Trains Two trains, Train A and Train B, weigh a total of 508 tons. Train A is heavier than Train B. The
difference of their weights is 440 tons. What is the weight of each train?
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there is given the numbers equals to 8 and DC equals to 3.2 and BE quals to 9 and find BC
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Given:
Consider [tex]AB\parallel DE[/tex] in triangle ABC and [tex]AD=8,DC=3.2,BE=9[/tex].
To find:
The length of BC.
Solution:
Basic proportionality theorem (BPT): If a line intersect the two sides of triangle and parallel to the third side, then that line intersects the other two sides proportionally.
Using Basic proportionality theorem, we get
[tex]\dfrac{AD}{DC}=\dfrac{BE}{EC}[/tex]
[tex]\dfrac{8}{3.2}=\dfrac{9}{EC}[/tex]
On cross multiplication, we get
[tex]8\times EC=9\times 3.2[/tex]
[tex]EC=\dfrac{28.8}{8}[/tex]
[tex]EC=3.6[/tex]
Now,
[tex]BC=BE+EC[/tex]
[tex]BC=9+3.6[/tex]
[tex]BC=12.6[/tex]
Therefore, the length of side BC is 12.6 units.
what is 4 minus 7 plus 9 =8
Answers
Answer: 15
Step-by-step explanation:
4-7+9=8
+7 +7
4+9=15
15=15
Answer:
Step-by-step explanation:
HELP ASAP!!!! Rosa has 4 1/2 pounds of pizza dough. She uses 3/4 of a pound for one pizza. How many pizzas could be made from Rosa's dough?
Answers
Answer:
6
Step-by-step explanation:
3/4
1 1/2
2 1/4
3
3 3/4
4 1/2
Sorry if this doesn't make sense, I hope I helped though!
helpp nowww i will give branliest
Answers
Answer:
Z
Step-by-step explanation:
Y axis is the line thats up and down
Answer: Z
Step-by-step explanation: pls if im correct give me brainliest, if not correct give it to some one else
are given the sets A = (even numbers less than 10) and B = (multiples of 3 greater than 3) A:name the communities A and B B:describe the community A n B
Answers
Answer:
A n B = {6}
Step-by-step explanation:
Given he sets A = (even numbers less than 10) and B = (multiples of 3 greater than 3)
A = {2, 4, 6, 8}
B = {3, 6, 9, 12, 15...}
A n B includes the numbers are are common to both sets i.e number that we can find in both A and B.
From the set given, we can see that the only number that exists in both set is 6, hence;
A n B = {6}