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
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.
MMM HAYYY help me with this pls cus I need help :|.
Answers
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
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:
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
HELP HELP ASAP!!!!!!!!!!!!!!!!!!!!
Answers
which equation is equivalent to 5(d+1)
Answers
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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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
When graphing c=12, would you use an closed circle or opened circle?
Answers
Answer:
closed
Step-by-step explanation:
because its = not -< or>-
HELP ME PLEASE I'll give brainliest
Answers
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
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:
I need help please!!
Answers
B
C
E
F
G
(It’s basically just a game of making pairs)
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
The volume of this figure is
Answers
Answer:
8 x 10 = 80
80 divided by 2 = 40
40 x 9 1/2 = 380
Hey please help me this is an Angle sum theorem!!!
Answers
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°
can some one answer my question i put up plz and ill mark you the b and give you 50 points
Answers
Answer:
what is your question
Step-by-step explanation:
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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I’m having a hard time
Answers
Answer:
Its the third and fourth answer
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!
Mr. Todd runs 3/4 of a mile every 1/10 of an hour. What is his unit rate in miles per hour?
Answers
Answer:
15/2 miles/hour
Step-by-step explanation:
this is the .answer in the pic
PLEASE LOOK AT THE PICTURE I REALLY NEED HELP AND ILL APPRECIATE IT IF SOMEONE HELPS ME
Answers
!!!!!!!!!!!!!!!!!!!!!!!!!!!
calculate the following -50(20-25)+30(-10+7)-20(+16+12)
Answers
Answer:
-400
Step-by-step explanation:
there is given the numbers equals to 8 and DC equals to 3.2 and BE quals to 9 and find BC
Answers
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.
The range of a data set is 14. If the smallest number in the set is 24.
What is the largest number?
Answers
What is the median of this group of numbers?
46, 48, 48, 54, 56, 58, 80
Answers
HELP ASAPPPPPPP FASTTT
Answers
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°
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?
Answers
Answer:
772 sold in monday
Step-by-step explanation:
add the problem
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
Answers
Answer:
Its D hope this help byee
Answer:
It is D I got this correct on the test.
Step-by-step explanation:
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}
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]