A ladder leaning against a wall makes a 60° angle with the ground. The base of the ladder is 3 m from the building. How high above the ground is the top of the ladder?
Answers
Answer:
The distance is 5.20m
Step-by-step explanation:
Here, we want to get the height of the ladder
To get this, we need to understand that we have a right triangle, with the base of the triangle as 3 m, the angle at the downward part is 60, and we want to get the height of the triangle
The angle here faces the height we want to calculate
This height is known as the opposite
What we have is the adjacent
Now, the trigonometric identity that relates the opposite and the adjacent is the tan
The tangent of an angle is the ratio of the opposite to the adjacent
Mathematically;
tan 60 = h/3
h = 3 tan 60
h = 5.20 m
The ladder is at a height of 5.20 m above the ground
Related Questions
oscar debe encontrar el valor de m en la ecuación -2(m+6m)-6=-4(m+6)-4m para poder encontrar el equilibrio de una balanza cuál es el valor de m
Answers
Answer:
sorry error bessssssssss
Solve for y. Round to the nearest tenth, if necessary.
Answers
9514 1404 393
Answer:
9.9
Step-by-step explanation:
The applicable geometric mean rule tells you ...
y = √(9(9+2)) = √99
y ≈ 9.9
__
Additional comment
In this geometry, the right triangles are similar. Ratios of corresponding sides are equal.
hypotenuse/long side = y/9 = (9+2)/y
y^2 = (9)(11)
y = √99 . . . . as above
The long leg is the geometric mean of the (adjacent) long segment and the full hypotenuse.
The ratio of cats to dogs is 3 : 7.
12 dogs escaped and the ratio is now 3 : 4.
Work out how many animals there were at the beginning.
Answers
Given:
The ratio of cats to dogs is 3:7.
12 dogs escaped and the ratio is now 3 : 4.
To find:
The total number of animal at the beginning.
Solution:
Let the number of cats and dogs at the beginning are 3x and 7x respectively.
12 dogs escaped. So, the remaining number of dogs is (7x-12).
New ratio of cats and dogs is 3:4.
[tex]\dfrac{3x}{7x-12}=\dfrac{3}{4}[/tex]
[tex]4(3x)=3(7x-12)[/tex]
[tex]12x=21x-36[/tex]
[tex]12x-21x=-36[/tex]
[tex]-9x=-36[/tex]
Divide both sides by -9.
[tex]\dfrac{-9x}{-9}=\dfrac{-36}{-9}[/tex]
[tex]x=4[/tex]
Now, the total number of animals at the beginning is
[tex]Total=3x+7x[/tex]
[tex]Total=10x[/tex]
[tex]Total=10(4)[/tex]
[tex]Total=40[/tex]
Therefore, the total number of animals at the beginning is 40.
Line t has slope 3/4 and passes through (0, 0) . Follow these steps:Step
1: Start at (0, 0) Step
2: Move right 8 units
Answers
Answer:
(8,0)
Step-by-step explanation:
y=mx+b
0=(3/4)0+b
0=b
y=3/4x+0
the point eight units away from (0,0)
is (8,0)
Hope this helps :)
Answer ASAP pls pls
Answers
90 + 90 ÷ 90 = _________
Answers
Answer:
91
Step-by-step explanation:
this is correct answer
Answer:
91
Step-by-step explanation:
Using BODMAS,
90 + (90/90)
=> 90 + 1
=> 91
Seventh grade > L.8 Solve percent equations: word problems JS6
Harold's Diner offers its clients a choice of regular and diet soda. Last night, the diner served
40 sodas in all, 10 of which were regular. What percentage of the sodas were regular?
Answers
In each of the following graphs, the two given polygons are similar. Write precisely a single dilation (coordinates of center and coefficient) by which the image (labeled with primed letters) was obtained. Will Give Brainiest!!!!!
Answers
Answer:
Center: (0,0) coefficient: [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
The side of the smaller polygon is 1/3 the size of the larger one, and that is why the coefficient is 1/3.
Polygon MNPQ was dilated by a scale factor of 1/3 and center of dilation (0, 0) to create M'N'P'Q'.
What is dilation?Dilation is the increase or decrease in the size of a figure by a scale factor of k, thereby creating an image.
From the diagram:
Scale factor = N'P' / NP = 2/6 = 1/3
Center = (0, 0)
Polygon MNPQ was dilated by a scale factor of 1/3 and center of dilation (0, 0) to create M'N'P'Q'.
Find out more on dilation at: https://brainly.com/question/10253650
what is a multiple of 12h^3?
Answers
Answer:
3.49099569 × 10-99 m6 kg3 / s3
Step-by-step explanation:
Choose Yes or No to tell if the fraction 4/9 will make each equation true.
Answers
2. Yes
3. No
4. Yes
Answer:
Step-by-step explanation:
1) yes
2)yes
3)no
4)yes
i hope it help because all you gotta do is just multiply all the numbers by 4,9
Need help again will give the brainliest
Answers
loook below giving brainliest
Answers
(11 x 15 x 2) + (5 x 15 x 2) + (5 x 11 x 2)
= 590ft ^2
Hope this helps!!
What is the awnser to pie
A. 3.14195
B. 4.0238
C. 5.3843
D. 6.2322
Answers
Answer:
A
Step-by-step explanation:
PKZ HELP AND EXPLAIN!!! WILL GIVE BRAINLY
Answers
Answer:
The graph shown has a slope of -4 (the line goes up 4 units for every 1 unit traveled to the left)
The y-intercept (where the line crosses the y axis) is -3
Slope-intercept form is y=mx+b
(m=slope)
(b= y-intercept)
Therefore, your answer would be y=-4x-3
Step-by-step explanation:
12) The angle of depression of a wire attached from the top of a pole to a stake in the ground is 52 degrees If the pole is 62 feet in length, what is the length of the wire to nearest tenth of a foot?
Answers
Answer:
Step-by-step explanation:
Which figure has the front, side, and top views shown?
Answers
Answer:
triangular prism
Step-by-step explanation:
xoxo <3 hope this helped!
How old am I if 400 reduced by 3 times
my age is 181?
Answers
Answer:
45
Step-by-step explanation:
Nancy needs 4/5 of a foot of ribbon to make a bow and she has 4 feet ribbon how many bows can she make
Answers
Answer:
I believe she can make one bow
Step-by-step explanation:
Iso if she has 5 feet of ribbon and only takes four feet of it then that leaves one foot left but if she has a perfect four foot then she can make a ribbon without extra
Find the missing angle
Answers
Answer:
110 Degrees
Step-by-step explanation:
Every interior triangle equalls 180 degress. So you subtract what you already have from 180.
30+40+x=180
70+x=180
180-70=110
40+30=70
180-70=110
F=110°
6th grade work fast and easy
Answers
Answer: 56 times
Step-by-step explanation:
If his ratio of goals to misses is
6:7
then we must find out how many times he missed seeing he scored 48
so
48:?
to solve find out if 6 goes into 48 and it does 8 times so multiply both sides by 8 to get the new ratio
6*8:7*8
48:56
So the new ratio is 48:56 which also means he missed 56 shots
1. El perímetro de la figura que se muestra es:
a. 10x2+20y+8
b. 19x2+16y+16
c. 19x2+20y+16
d. 19x2+20y+8
Answers
Answer:
I think is C 19x2+20y+16
FOR 20 POINTS:
What expression is represented in the model shown below?
Answers
Answer:
I can't see the picture
Step-by-step explanation:
need help with this if anyone could help thanks
Answers
Mhanifa please help with this I want to pass! I will mark brainliest! I will report random answers
Answers
Answer:
Questions 1 and 3 already answered
Q2Angles 1 and 3 are corresponding angles and therefore have same value:
4x = 112x = 112/4x = 28°Select the fraction that is NOT in lowest terms . which of these fractions is not in lowest term?
3/14
15/23
10/63
14/21
Answers
Answer:
14/21
Step-by-step explanation:
14/21 is divisible by 7, and can reduce to 2/3
I WILL GIVE BRAINLIST NEED HELP ASAP
Find the volume of this rectangular prism in cubic inches
A
3 cubic inches
B
36 cubic inches
C
5,184 cubic inches
D
46,656 cubic inches
Answers
Answer:
A
Step-by-step explanation:
2 X 1.5 X 1 = 3
Answer:
a
Step-by-step explanation:
What are the ordered pairs are the solutions for the following system of equations??
Answers
Answer:
(1,2) and (6,7)
Step-by-step explanation:
Tom has 50 coins consisting of quarters and dimes. The combined value of coins is $8.30. How many dimes and quarters does Tom have:
dimes
quarters
Answers
Answer:
thirty two quarters and three dimes
I am building birdhouses for all of my students for an upcoming project. If I complete 2 1/2 birdhouses in 2/3 of an hour of workwhat is my unit rate of birdhouses per bour?
Answers
Answer:
3 3/4
Step-by-step explanation:
convert to decimal
2.50/0.666
=3.75
HELP.
What is the best bat All-Time?
-Quatro Pro
-The Goods (2021)
-Marucci 5,6,7
-Voodoo Liquidmetal, etc.
-Other (comment)
Answers
Answer:
Easton Redline Sc500
That is the best bat at all time
Step-by-step explanation: