A man who is 2m tall stands on horizontal ground 30m from a tree. The Angel of elevation of the top of the tree from his eyes is 28 . Fine the distance between the men eyes to the top of the tree
Answers
Answer:33.95 m
Step-by-step explanation:
Given
The height of the man is 2 m
Distance between man and tree is 30 m
the angle of elevation of the top from the eyes is [tex]28^{\circ}[/tex]
from the figure,
[tex]\Rightarrow \tan 28^{\circ}=\dfrac{h}{30}\\\\\Rightarrow h=30\tan 28^{\circ}=15.91\ m[/tex]
Using Pythagoras we can write
[tex]\Rightarrow AD^2=ED^2+AE^2\\\Rightarrow AD^2=30^2+15.91^2\\\Rightarrow AD=33.95\ m[/tex]
Thus the distance between the men eyes to the top of the tree is 33.95 m
Related Questions
Angela opened a bank account with $0.50. Later in the week she deposited money and $24 in her account. How much money did she deposit?
Answers
Answer:
24 is the whole desposited. unless you are not counting the money she spent to open it. then it would be $23.50
EXPLANATION:
To find the answer, we should take the original amount, and subtract it from the new amount.
This is so we can find how much was added to the original number.
So, we do 24 - 0.50 and get $23.50.
HAVE A GUD DAY!
Find the perimeter of a rectangle with a length of 9 yards and a width of 6 yards. Enter only the number of yards in the answer box. The perimeter is ____ yards.
Answers
Answer:
Step-by-step explanation:
30
Create a probability model for the outcome of flipping a coin 3 times. what is the probability of landing on heads at least once
a. 2/3
b. 1/2
c. 7/8
d. 1/8
Answers
Answer:
it is A.2/3
Step-by-step explanation:
In a local middle school, there are 20 Science teachers, 30 Social
Studies teachers and 600 students. What is the ratio between the number
of Science teachers and the number of students for this school? *
1:12.
1:30
1:35
1:40
Answers
Answer:
no of science teachers is 20
no of students is 600
ratio=20/600
=20:600
=1:30
pls give me brainliest
HELP ME NOW PLEASE!!!!!
The question says "State the coordinates of Point G after a rotation of 90 degrees clockwise followed by a dilation with scale factor 2." The coordinates are G(4.5, 3).
Answers
Answer:
Hiiiiiiiiiiiii Picture pls?
Step-by-step explanation:
:))
Is 60.560 an irrational number or rational?
Answers
Answer: ratinal?
Step-by-step explanation:
Anthony bought a new rectangular table for his living room. The length of the table is 4 feet and the perimeter of the table is 14 feet. What is the width of the table?
Answers
Answer:
3 feet
Step-by-step explanation:
If the length is 4 feet, there are two lengths so you get 8
14-8= 6
Because there are two widths, you do 6 divided 2 and you get 3 feet
Evaluate 4x – 3 for x = -2.
Answers
Answer: -11
Step-by-step explanation:
4(-2)-3
-8-3
=-11
what is the value of x when h(x) x-3
Answers
Answer:
-1
Step-by-step explanation:
I did it in my review
x= -3/h
hope this helps :)
Ryan earns $20 for every lawn that he mows.
Which set of ordered pairs represents the relationship between the number
of lawns Ryan mows and the money he earns?
Oa. (20,1),(40,2), (60, 3) Ob.(1, 20), (2, 40), (3, 60)
Oc. (0,20), (1, 40), (2, 60) Od. (1, 20), (2, 30), (3, 40)
Answers
Answer:
A is the correct answer
Answer:
B
Step-by-step explanation:
The first number should represent the lawns, and the second should represent the money he makes on each lawn.
A is incorrect because the numbers are swapped; Ryan does not earn one dollar for mowing 20 lawns.
C is wrong because if Ryan mows zero lawns, how can he make money. Although the multiplication is correct, it does not start at zero.
D is wrong because it is counting the price up by ten instead of adding 20.
B is right because every lawn is 20 more dollars, and that is what is shown.
Helppppppppppppppppp
Answers
Please need help thank
Answers
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
It has the most x's (rolls) compared to the other numbers rolled.
Please help I don’t gat this
Answers
Answer:
30 yards
Step-by-step explanation:
the dotted line causes a rectangle and a triangle to be formed. the formula for area of a triangle is base times height divided by 2. you subtract 6 from 9 which is 3 and multiply it by 4 as it is the height of the triangle after, divide by 2 . since 4 and 3 is 12, dividing 12 by 2 is 6 which is the area of the triangle. the area of the rectangle is 6 times 4 which is 24. add 24 and 6 and u get 30
Find the domain and the range of the relation.
t = {(10,6), (28,- 10), (42,6), (10,10),(52,10)}
The domain of t = { ? }
Answers
Answer:
domain:{10,28,42,52}
range:{-10,6,10}
Step-by-step explanation:
Hello There!
If you didn´t know the domain is the set of x values
the x values in the given relation are
10,28,42,10 and 52
so the domain is {10,28,42,52}
The range is the set of y values
the y values in the given relations are
6,-10,6,10,10
so the range is {-10,6,10}
A scientist measured a museum specimen. She recorded the measurement as 75 centimeters. What could the scientist have been measuring? length of a dinosaur bone
mass of a dinosaur bone
length of a gem
mass of a gem
Answers
Answer:
75cm is the measurment
Step-by-step explanation:
It would have had to have been the lenght of the gem because 75cm or 75 centimeters is a measurment not the mass of something. The mass is the amount of matter in an object.
answer all
(make sure to show work
6th grade work
Answers
8 + 2
10 - answer
4 times 4
16 + 20
36 - answer
Ur welcome
Select the improper fraction that is not equivalent to the whole number 6
18/3
6/1
54/3
54/9
Answers
Answer:
54/3=18
Step-by-step explanation:
18/3=6
6/1=6
54/9=6
A rectangle has a base of 4 feet and a height of 30 inches.
What is the area of the rectangle? Choose the correct answer below.
A
4.5 square feet
B
10 square feet
C
46 square inches
D
120 square inches
Answers
CAN SOMEBODY PLEASE HELP ME!!
Answers
Answer:
2,2 2,7 5,7
Step-by-step explanation:
Write two fractions that have a sum of 1 and have different denominators.
Answers
Answer:
1/5+8/10=1
Step-by-step explanation:
1/5 = 2/10
If the radius is 8m, what is the diameter
Answers
Answer:
16m
Step-by-step explanation:
radius is half of diameter
A customer service representative must spend different amounts of time with each customer to resolve various concerns. The amount of time spent with each customer can be modeled by the following distribution : X~Exp (0.2)
Find the quartile 3. Round to the nearest tenth.
Answers
Answer:
The quartile 3 is 0.3
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
[tex]f(x) = \mu e^{-\mu x}[/tex]
In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.
The probability that x is lower or equal to a is given by:
[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]
Which has the following solution:
[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]
The probability of finding a value higher than x is:
[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]
X~Exp (0.2)
This means that [tex]m= 0.2, \mu = \frac{1}{0.2} = 5[/tex]
Find the quartile 3.
The 3rd quartile is the 75th percentile, for which [tex]P(X \leq x) = 0.75[/tex], or [tex]P(X > x) = 1 - 0.75 = 0.25[/tex]
Since
[tex]P(X > x) = e^{-\mu x}[/tex]
[tex]e^{-5x} = 0.25[/tex]
[tex]\ln{e^{-5x}} = \ln{0.25}[/tex]
[tex]-5x = \ln{0.25}[/tex]
[tex]x = -\frac{\ln{0.25}}{5}[/tex]
[tex]x = 0.277[/tex]
Rounding to the nearest tenth, the quartile 3 is 0.3.
3^16 as a power of 1/9
Answers
Answer:
x = -9
Step-by-step explanation:
3^16 = (1/9)^x
9^18 = 9^-x
On comparing co-efficients :
-x = 9
x = -9
what is 47 ÷ 12 1/3 =
Answers
Answer: 47/363
(Decimal: 0.129477)
Select all the statements that are true
Answers
Answer:
Options 2, 4 and 6 are True.
Step-by-step explanation:
Triangle MNO is dilated by a scale factor of [tex]\frac{3}{2}[/tex] centered at M(0, 6).
Rule to be followed to dilate the vertices of the given triangle,
(x, y) → (kx, ky)
Here, k = scale factor
By this rule vertices of the new triangle M'N'O' will be,
M(0, 6) → M'(0, 6) [Coordinates of M' will remain same as M because center of dilation is point M]
N(-4, -4) → N'(-6, -6)
O(6, -2) → O'(9, -3)
Option 1
M'N' is shorter than MN
Distance between M and N = [tex]\sqrt{(0+4)^2+(6+4)^2}[/tex]
= 10.77
Distance between M' and N' = [tex]\sqrt{(0+6)^2+(6+6)^2}[/tex]
= 13.42
Therefore M'N' > MN
Therefore, Option A is False.
Option 2
ON is shorter than O'N'
True.
Option 3
OM is longer than O'M'
False
Option 4
ON is parallel to O'N'
Since OM and MN are dilated with the same scale factor, O'N' will be parallel to ON.
True.
Option 5
OM is parallel than O'M'
Since, O'M' is the dilated form of OM,
Therefore, all the points (O, M and M') will be in a straight line.
False
Option 6
M'N' coincide with MN
True.
Therefore, Options 2, 4 and 6 are True.
A rectangle has length of (5x+2) and a width of (3x-1) with an area of 308 units squared. Find the perimeter
Answers
Answer:
haach f,f msfmavfb
Step-by-step explanation:
please help it due rn
Answers
Answer:
I think that the answer would be C .
hope it was helpful :)
Help me with this please
Answers
90-75=15
Answer:
x = 37.5
Step-by-step explanation:
The easiest way to solve this is to realize that the bottom triangle is a an Isosceles triangle, with the upper angle being equal to 180 - 75 degrees. That gives us the number 105°
Because it's an Isosceles triangle, we can simply say that the bottom angles, including the one we want to calculate are equal and both add up 105 (again, because the angles in a triangle add up to 180, and we know the top one is 105).
That gives us:
(180 / 105) / 2
= 75 / 2
= 37.5
Washe
car alone, ustin takes
45 hours
had
takes tos hours.
How
donde long does the car
by
does it take Justin's
hiods?
Washing car alone it takes Justin 4.5 hours. If his dad helps him it takes 1.5 hours. His long does it take Justin’s dad to wash the car by himself?
Answers
Answer:
it takes his dad 3 hours
Step-by-step explanation:
4.5-1.5 =3
Helppp pleaseeee which one
Answers
Answer:
Coefficient is your answer
Answer:
3 is a coefficient
Step-by-step explanation:
a constant is a number without a variable and that is unchanging
3 has the variable w attached to it and will change with the value of w
hope this helps <3