What is the angle of elevation of the sun when a 44 ft mast casts a 13ft shadow?
Answers
Answer:
here
Step-by-step explanation:
Let the angle of elevation be \thetaθ
\begin{gathered} \therefore \tan \: \theta = \frac{height \: of \: mast}{height \: of \: shadow} \\ \\ \therefore \tan \: \theta = \frac{44}{14} \\ \\ \therefore \tan \: \theta = 3.14285714 \\ \\ \therefore \: \theta = {\tan}^{ - 1} (3.14285714) \\ \therefore \: \theta = 72.349875765 \degree \\ \\ \huge \red{ \boxed{\therefore \:\theta = 72.35 \degree}}\end{gathered}
∴tanθ=
heightofshadow
heightofmast
∴tanθ=
14
44
∴tanθ=3.14285714
∴θ=tan
−1
(3.14285714)
∴θ=72.349875765°
∴θ=72.35°
Hence, angle of elevation of the sun is 72.35°.
Related Questions
Math people please answer me this please fast!!!!!
Answers
Answer:
Wait nvm sorry point A is at (1,-5) so the answer is B
Step-by-step explanation:
A and B are similar solid cylinders base area of A : base area of B = 9 : 25
complete these ratios
curved surface area of A : curved surface area of B : = ? : ?
height of A : height of B = ? : ?
Answers
Answer:
Two figures are similar if the figures have the same shape but different sizes.
Then if we have two figures X and X'
Such that one dimension of X is D, the correspondent dimension on X' will be:
D' = k*D
Such that k is the scale factor that relates the figures.
1:k
Because all the dimensions will be rescaled by the same scale factor k, we can conclude that any surface on X will be related to the same surface in X' by:
S' = k^2*S
then the ratio of the surfaces is:
1:k^2
While the relation between the volumes will be:
V' = k^3*V
Here the ratio is:
1:k^3
Ok, in this case we have two cylinders
We know that the ratio between the base area ( a surface) is:
9:25
a) We want to find the ratio: curved surface area of A : curved surface area of B
Because again we have a surface area, the ratio should be exactly the same as before, 9:25
b) height of A : height of B
In this case, we have a single dimension.
Because in the rescaling of a surface we need to use k^2, then we can conclude that the ratios:
9:25
is related to k^2
Then the ratio, in this case, is given by applying the square root to both sides of the previous ratio, so we get:
√9:√25
3:5
This is the ratio of the heights.
Also from this we could get the value of k, that is the right value when we leave the left value equal to 1, we can get that if we divide both sides by 3.
(3/3):(5/3)
1:(5/3)
Then:
k = 5/3
Write 53 minutes to 4 hours as a ratio.
Answers
Answer:
The minutes wouldn't it be hours?
Step-by-step explanation:
Answer:
53:240
Step-by-step explanation:
Turn the hours into minutes since the minutes can't change to hours.
What is 24 – 6х3+52 - (16+ 2)?
ОА.
9
ОВ.
23
Ос.
71
OD.
496
Answers
Answer:
40
Step-by-step explanation:
24 – 6х3+52 - (16+ 2)
PEMDAS states we do the paranthesis 1st
24 – 6 х 3 + 52 - (18)
Next, we do the multiplication
24 - 18 + 52 - 18
Since it's just adding & subtracting, we go from left to right
40
Find the area of the shade region.round to the nearest tenth
Answers
Answer:
189.25
Step-by-step explanation:
first you find the area of the entire circle which is π times (14.5) squared so 210.25π. then you find the triangle which is 1/2 20×21= 21 then subtract 210.25π by 21= 189.25
Answer:
450.5 in²
Step-by-step explanation:
The area of the triangle
= (20×21)/2
= 210 in²
The hypotenuse of the triangle
=[tex] \sqrt{ {20}^{2} + {21}^{2} } [/tex]
=[tex] \sqrt{400 + 441} [/tex]
=[tex] \sqrt{841} [/tex]
= 29 in
The hypotenuse of the triangle (29 in)
= the diameter of the circle
The formula of area of a circle= πr²
The radius of the circle
= 29÷2
= 14.5 in
The area of the circle
= π × 14.5²
= 660.5 in² (rounded to the nearest tenth)
The area of the shaded region
= 660.5 - 210
= 450.5 in²
Four friends were born in consecutive years. The sum of their ages is 62.
What is the age of the oldest friend?
Answers
Answer:
4+62=66
Step-by-step explanation:
HELP WILL GIVE BRAINLIEST!
Answers
Answer:
128 boxes
Step-by-step explanation:
The dimensions of the trunk is 24 in. by 24 in by 48 in
The volume = 24(24)(48) = 27648 cu. in.
The cubed boxes each have a volume of 6(6)(6) = 216 cu. in.
27648/216 = 128 boxes
Which of the following functions has a line of symmetry of x = 2?
y = (x - 2)2 + 5
y = (x + 2)2 - 5
y = (x - 5)2 + 2
y = (x + 5)2 - 2
Answers
Choose the sentence that is out of sequence.
Mary Jo began reading The Alphabet Book.
Mother put Jimmy to bed.
Jimmy helped read.
Jimmy fell asleep.
Answers
Answer:
C.
Step-by-step explanation:
Teagan was playing Trouble and recorded the number
of times she rolled a 6. During the game, she was
successful 5 times out of the 25 times she tried.
What was the experimental probability of rolling a 6 in
the game? Write your answer in decimal form.
Answers
Answer:
20%
Step-by-step explanation:
Think about it. 100 divided by 25 is four so just multiply 5 times 4 and you got 20. giving you the probability of 20%. Your Welcome! And I'm not a genius it's just simple math.
Which situation can be modeled by the expression 4 divided 1/3
Answers
Answer:
4
Step-by-step explanation:
4/1x 3/1 =12/1=4
please soleeeeeeeeeeeeèeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answers
Step-by-step explanation:
Answer is 99. I am pretty sure.
Can someone pleaseeee help me
Answers
Answer:
a). Common difference = 4
b). [tex]T_n=4n+3[/tex]
c). 51st term = 207
Step-by-step explanation:
Given arithmetic sequence is,
7, 11, 15, 19......
a). Common difference = Second term - First term
= 11 - 7
= 4
b). nth term of an arithmetic sequence is given by,
[tex]T_n=a+(n-1)d[/tex]
Here, n = number of term
a = First term
d = common difference
By substituting the values in the given formula,
[tex]T_n=7+(n-1)4[/tex]
[tex]T_n=4n+3[/tex]
c). 51st term of the sequence will be,
[tex]T_{51}=7+(51-1)4[/tex]
= 7 + 200
= 207
In a display at a museum, two planets have volumes of 8 cubic inches and 27 cubic
inches. What is the ratio of their diameters?
2:3
413.5
2:9
4:13.5
Answers
Answer:
2:3
Step-by-step explanation:
V = 4/3*pi*r^3
Diameter = 2r
The ratio of diameters of the two planets has volumes of 8 cubic inches and 27 cubic will be 2/3.
What is Ratio?A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other such that they should not be divisible.
The upper number is called as the numerator and the lower is called the denominator.
For example, 3/4 where 3 will be numerator and 4 will be denominator.
Given that the In a display at a museum, two planets have volumes of 8 cubic inches and 27 cubic.
Now volume of planets(sphere) = πD³/6 where D is diameter of sphere
So volume of first planet / volume of second planet ∝ (dia or first)³/(dia of second)³
⇒ V₁/V₂ ∝ (D₁/D₂)³
Given that V₁/V₂ = 8/27
So 8/27 = (D₁/D₂)³
D₁/D₂ = 2/3
Hence, the ratio of diameters of two planets will be 2/3.
Learn more about Ratio here:
brainly.com/question/1504221
#SPJ2
write a quadratic equation in the form x^2+bx+c=0 that has the following roots: {-7,6}
Answers
Answer:
f(x) = x^2 -12x + 85
reverse engineer this, like Prof. Sheldon Cooper figuring out Howard's card trick
x=6+or - 7i
x-6 = + or - 7i
square both sides
(x-6)^2 = -49
x^2 -12x + 36 = -49
x^2 -12 + 85
In the triangle below,
x = [? ] cm. Round to the
nearest tenth.
y
X
90°
20
10 cm
X=?
Answers
Answer: y ≈ 10.6 cm
Step-by-step explanation:
The cosine function relates the adjacent side to the hypotenuse in a right triangle. The side adjacent to the 20° angle is 10 cm.
cos(20°) = (10 cm)/y
y = (10 cm)/cos(20°)
y ≈ 10.6 cm
The approximate value of the variable x will be 3.64.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The base of the right angle triangle is 10 cm, the perpendicular is x, and the hypotenuse is y.
Then the value of y will be given by the cosine of angle 20°.
cos 20° = 10/y
y = 10.64 cm
The approximate value of the variable x is given by the Pythagoras theorem.
H² = P² + B²
10.64² = x² + 10²
113.25 = x² + 100
x² = 113.25 – 100
x² = 13.25
x = 3.64
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
#SPJ5
Match the appropriate transformation with the appropriate rule.
Answers
Answer:
i only know one, which is c and 2
Step-by-step explanation:
Not sure what the answer is?
Answers
Answer:
I think you are correct
hope it is helpful to you ☺️☺️☺️☺️
Answer:
O think you are correct . answer is 18 only.......
Step-by-step explanation:
Hope it helps you
What is the volume of the figure? Enter the answer in the box
Answers
Answer:
896
Step-by-step explanation:
Answer:
(10 × 4 × 18) + ( 9 × 10 × 9 ) = 1530
Giving the brainliesttt
What is the range when the domain is
A) -8
B) -4
C) 4
D) 0
E) 10
Answers
Find the 12th term of the geometric sequence 5, –25, 125, ...
HELP ASAP WILL NAME BRAINLEST
Answers
Step-by-step explanation:
[tex]U _{ {12}^{th} } = a {r}^{(n - 1)} \\ = 5 \times {5}^{12 - 1} \\ = 244140625 \\ {12}^{th} \: term \: is \: 244140625[/tex]
Helppppp! What is the value of 5^3i^9
Answers
Answer:
125i.
Step-by-step explanation:
5^3 is 125 i^2 is -1 so i^8 is positive and you have 1 i left.
PLZ HELP THIS IS DUE TODAY AND PLZ NO LINKS
Answers
Answer:
A. Stripped of things that cause pollutions
Step-by-step explanation:
You can find this in the last section 3rd sentence
Which of the following values is not changed by moving the center of an ellipse? a or b b c a, b or c
Answers
Answer:
a, b or c
Step-by-step explanation:
graph the function y=x3+3x2-1. based on the graph what is the least possible x-value if y=0? round your answer to the nearest hundredth, if necessary
o -2.88
o -2.00
o -0.65
o -0.53
Answers
Answer:
-2.88
Step-by-step explanation:
When graphed Y=0 crosses the X-axis three times
X= -2.88, -0.65, 0.53
Answer:
It's A on edge or -2.88
Step-by-step explanation:
A parachutist's speed during a free fall reaches 180 kilometers per hour. What is this speed in meters per second? At this speed, how many meters will the parachutist fall during 2 seconds of free fall? Do not round your answers. Speed: 50ms Distancefallenin2seconds: 1,000m
pls hurry exam
Answers
Answer:
Speed of the parachutist is meters per second [tex]2.083[/tex] meter per second
Distance travelled in 2 seconds [tex]4.167[/tex] meter
Step-by-step explanation:
Speed of the parachutist is kilometers per hour = 180
Speed of the parachutist is meters per second [tex]\frac{180*1000}{24*60*60} = 2.083[/tex] meter per second
Distance travelled in 2 seconds [tex]2.083 *2 = 4.167[/tex] meter
1/2x+8=20 what does x equal
Answers
Answer:
x=24
Step-by-step explanation:
1/2 x + 8 =20
x/2 + 8= 20
24= x
PLA ANWSERRR ITS EASY BUT PLS SHOW WORKKKK
Answers
Answer:
200 lbs
Step-by-step explanation:
Divide the total cost of the two books which is 50 by the current price for aluminum which is 0.25.
50/0.25=200
A line is parallel to the line y=-2/3x+1 and it passes through the point (4,-1). Determine the slope of the line.
A) m=2/3
B)m=-3/2
C)m=-2/3
D)m= 3/2
Answers
Answer:
C) m=-2/3
Step-by-step explanation:
Parallel slope means it'll be the same.
m = -2/3
In January, Mrs. Jones’s business had expenses that totaled $2,500. Based on the information in the graph, how much money did Mrs. Jones spend on marketing in January?
Answers
Answer:
$375
Step-by-step explanation: