A flagpole that is 21 ft tall casts a shadow that is 30 ft long. What is the angle of elevation of the sun when this shadow is cast?
Answers
Answer:
34.99°
Step-by-step explanation:
CHECK THE ATTACHMENT FOR THE FIQURE
Let angle( X) = angle if elevation
From trigonometry, tan(X)= opposite/ adjacent
Height of the flagpole= 21 ft , which is the opposite side
The base, adjacent side = 30 ft
If we substitute the values we have
Tan(X) = 21/30
Tan(X)= 0.7
Tan-1(0.7)=34.99°
Hence, the angle of elevation of the sun when this shadow will cast is 34.99°
Related Questions
Rose is 5 years older than Milton. Rose's age is 10 years less than four times Milton's age. The system below models the relationship between Rose's age (r) and Milton's age (m):
r = m + 5
r = 4m – 10
Which is the correct method to find Rose's and Milton's ages?
Answers
Convert: :
23.7 cm =
mm
Answers
Answer:
237
Step-by-step explanation:
multiply the length value by 10
Answer:
237 mm
Step-by-step explanation:
Formula
multiply the length value by 10
Segment FG begins at point F(-2, 4) and ends at point G(-2, -3). The segment is translated 3 units left and 2 units up, then reflected across the y-axis to form segment F'G'.How many units long is segment F'G'?
Answers
Answer:
[tex]F'G' = 7[/tex]
Step-by-step explanation:
Given
[tex]F = (-2,4)[/tex]
[tex]G = (-2,-3)[/tex]
Required
Distance of F'G'
The transformation that give rise to F'G' from FG are:
TranslationReflectionThe above transformations are referred to as rigid transformation, and as such the side lengths remain unchanged.
i.e.
[tex]F'G' = FG[/tex]
Calculating FG, we have:
[tex]FG = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
Where:
[tex]F = (-2,4)[/tex] --- [tex](x_1,y_1)[/tex]
[tex]G = (-2,-3)[/tex] --- [tex](x_2,y_2)[/tex]
[tex]FG = \sqrt{(-2 - -2)^2 + (4 - -3)^2}[/tex]
[tex]FG = \sqrt{(0)^2 + (7)^2}[/tex]
[tex]FG = \sqrt{0 + 49}[/tex]
[tex]FG = \sqrt{49}[/tex]
Take positive square root
[tex]FG = 7[/tex]
Recall that:
[tex]F'G' = FG[/tex]
[tex]F'G' = 7[/tex]
Will yall help me please help me i will help ya´ll whenever ya´ll need points just ask something or i will make things where i will get ya´ll some points just will help me on this quiestion..?
Answers
Which expression is equivalent to 6/7 divided by 3/5 ?
A. 6/7 x 5/3
B 6/7 x 5/3
C 7/6 divided 3/5
D 5/3 divided 6/7
Answers
Answer:
A.
Step-by-step explanation:
6/7 / 3/5 we invert the divisor and multiply:
= 6/7 * 5/3
0.25(4x - 4) = 2x + 1
Answers
Answer:
x=-2
Step-by-step explanation:
find the value of x
−9(10+x)=−243
Answers
Answer:
x = 17
I think this is the value for x
If f(x)= 9x^2+2x-3, find f(-1).
Answers
Answer:
f(-1)= 4
Step-by-step explanation:
Just plug -1 into all Xs
and split it into 2 seperate problems for the time being
[9 times (-1)^2] + [2(-1)-3]
-1 squared is positive 1 times the 9 is just 9
Plus 2 times -1 is -2 minus 3 is -5
combine the two seperate problems you have
9-5 the subtract and
f(-1)= 4
If you were asked to round the number 9.6173 to the nearest hundredths place, how many digits would you have after the decimal point?
Answers
Answer: I don't think you would move it
Step-by-step explanation: let me know if I'm wrong
I need help ASAP!
Please help me!!
Answers
2) y axis is the line that goes vertically
3) origin is (0,0)
4) A is the dot that is height is the middle. B is the highest dot. C is the lowest dot
5) (4,6)
6) (2,9)
7) (0,4)
8) the correct ordered pair is (7,3) because it is (x,y) and allie switched between the two
1. The X axis is the line going left and right
2. The Y axis is the line going up and down
3. The origin is the point where the X and Y axis meet; (0,0); by the 0
4. The points will be written as A, B, C. This is going from left to right. So the first box on the coordinate plane furthest to the left with be labeled with A. Then the second box furthest from the left; the middle box; will be labeled with B. Then the last box will be labeled C
5. (4,6)
6. (2,9)
7. (0,4)
8. When Allie identified the point, she mixed the X and Y coordinates. To identify a point you first want to find the point following the X axis. Then do the same with the Y axis. After doing this you should have 2 numbers, in which are 3 and 7. Now when writing the coordinates, the X axis ALWAYS comes first. So it should look like (7,3)
A city planner knows that the number of daily riders on the subway is expected to increase by 12% over the next year. If the current number of daily riders is represented by d,
which expression does NOT represent the expected number of daily riders next year?
A.d+0.12d
B. 1.12d
C. (1 + 0.12)d
D.0.12d
Answers
Answer:
Step-by-step explanation:
because it doesn’t start off or have 0.12 in the equation.
Adele has 19 stamps in her collection.
For her birthday, Don gave her 5 more,
and then her father offered to buy her
more stamps to triple the number in
her collection. Which expression shows
how many stamps Adele will have in
her collection after her birthday?
A 19-(5 X 3)
B 19 + (5 X 3)
C (19-5) X 3
D (19 + 5) X 3
Answers
Answer:
D
19+5 is the total in her collection
multiply by three to triple
(19+5)x3
Answer:
D(19+5)x3
Step-by-step explanation:
she has 19, then don gave her 5 more
19+5
her father also offered to buy her three times so
(19+5)x3
Area of circle with 7.1km rounded to the nearest tenth
Answers
Answer:
I'm pretty sure it's just 7.0 because seven is the nearest 10th because it's only .1
the distance from the center of a square to a side is 4 yd. find the perimeter of the square
Answers
4th grade math HAHAHAHAHHAAA your too young for brainly ima report you ✋✋✋
If f(x) = -8x - 4 and g(x) = x+3 which statement is true?
Answers
Answer:
Step-by-step explanation:
F(x)=-8x-4. G(x)= x+3
-8x-4-x-3=-9x-7
I need help fast!!!!!!
Answers
Answer:
Z= 180 X = 95 y= 147
Step-by-step explanation:
Z=180 because it is a line and when it is a line it = 180 degrees
for X you want to first find the angle of the other triangle and when you do you subtract that # from 180 because those 2 angles make a line
to find that angle next to X is...
180- (the other 2 angles in the triangle)
180- 45- 50
180-95
85 degrees
now do
180-85
95 degrees -- this is what X =
now you want to find the angle that is left in one triangle
so do
180- 95- 52
180- 147
33 degrees -- the angle that was missing
to find Y do...
180- 33
147 degrees -- this is what Y =
I need help with this
3 (x - 4)= 2x + 6
Answers
Answer:
x=18
Step-by-step explanation:
3(x-4)=2x+6
3x-12=2x+6
3x-2x=6+12
x=18
Answer:
[tex]3(x - 4) = 2x + 6 \\ 3x - 12 = 2x + 6 \\ 3x - 2x = 6 + 12 \\ x = 18[/tex]
Hope it helps!
Find the total surface area of this cone.
Leave your answer in terms of .
15 cm
78 cm
SA = [ ? 17 cm?
Answers
Answer:
SA = 200π cm²
Step-by-step explanation:
The slant height l is the hypotenuse of the right triangle inside the cone
The triangle is an 8- 15- 17 ( Pythagorean triple ) with l = 17
Then
SA = πrl + πr²
=(π × 8 × 17) + (π × 8²)
= 136π + 64π
= 200π cm²
Answer:
in the right angle triangle,
p=15cm
b=8cm
[tex]h = \sqrt{15 {}^{2} + 8 {}^{2} } \\ = \sqrt{125 + 64} \\ = \sqrt{289} \\ = 17cm \\ sa = \pi \: rl + b \\ = \pi \: 8 \times 17 + \pi \: r {}^{2} \\ = 136\pi + 64\pi \\ = 200\pi[/tex]
The line plot below shows the amount of water ( in gallons) students drank in a week. What is the difference in the lowest amount of water and the highest amount of water students drank
Answers
The difference in the lowest amount of water and the highest amount of water students drank is 1/2
How to determine the difference?From the complete question (see attachment for line plot), we have:
Least = 1/8
Highest = 5/8
The difference is then calculated as:
Difference = Highest - Least
This gives
Difference = 5/8 - 1/8
Evaluate
Difference = 4/8
Simplify
Difference = 1/2
Hence, the difference in the lowest amount of water and the highest amount of water students drank is 1/2
Read more about line plots at:
https://brainly.com/question/15853311
#SPJ4
A 400g pack of couscous contains 116g of carbohydrate.
A 250g bag of maize flour contains 195g of carbohydrate.
A 1kg bag of wheat flour contains 640g of carbohydrate.
Use percentages to work out the amount of carbohydrates in each.
Answers
Answer:
A: 70% B: 64%
Step-by-step explanation:
Which of the equations below has no solution?
Answers
I have solved all of the problems and the last choice is the only one that has no solution.
Plz help fast will mark brainliest!!!
Answers
Answer:
V≈523.6
Step-by-step explanation:
Complete the equations below. please please
Answers
Answer:
364 hundredths÷7
Step-by-step explanation:
3.64=364/100= 365 hundredths
The cost to mail a package varies directly to the weight of the package. If a 14- ounce package costs $4.48 to mail, find the weight of a package that cost $8 to mail.
Answers
Answer:
Step-by-step explanation:
Ok so first, we must figure out what 1 once costs. This can be done by divideing 4.48(cost) by 14(weight).
You should get 0.32.
Now just multiply by 8 and you should get your answer. This answer is 2.56.
Answer:
2.56
Another way this can be done is dividing 8(second weight) by 14(first weight) which will get you the difference. This is 0.5714 blah blah blah goes on for a long time. Now, take this number and multiply it by the 4.48(first cost). This should get you 2.56.
Answer:
2.56
Ti⊂k∫∈s ω∅∅p
log(x+4)=logX + log4
Answers
Answer:
log
(
x
+
4
)
=
log
(
x
)
+
log
(
4
)
=
log
(
4
x
)
, so
x
+
4
=
4
x
, hence
x
=
4
3
Step-by-step explanation:
What shape is figure b?
Figure A is a cone and figure B is a cylinder.
cylinder
sphere
cone
pyramid
Answers
Answer:
Cylinder
Step-by-step explanation:
Figure b is cylinder.
Answer:
sphere
Step-by-step explanation:
Which two consecutive integers does -√138 lie between?
A:11 and 12
B:12 and 13
C:-11 and -12
D:-12 and -13
Answers
Answer:
C:-11 and -12
[tex] - \sqrt{138} \\ = - 11.747 \\ - 11 < x < - 12[/tex]
Can someone plz help
Answers
Answer:
x=43
Step-by-step explanation:
Answer:
x = 34°
Step-by-step explanation:
(x + 7) + (63° + (2x + 8) = 180°
combine like terms:
3x + 78° = 180°
subtract 78 from each side of the equation:
3x = 102°
divide both sides by 3:
x = 34°
Which expression is equivalent to \left(3^{-6}\times 3^{3}\right)^{-1}\normalsize?(3 −6 ×3 3 ) −1 ? 3^{-19}3 −19 3^{18}3 18 3^{-3}3 −3 3^{3}3 3
Answers
Answer:
27
Step-by-step explanation:
Given the expression
[tex]\left(3^{-6}\times 3^{3}\right)^{-1}\\[/tex]
According to law of indices, this can be written as;
[tex]\left(3^{-6+3})^{-1}\\\\= (3^{-3})^{-1}\\\\= 3^{-3*-1}\\\\= 3^3\\\\= 27[/tex]
Hence the required answer is 27
An airplane descends 2.7 miles to an elevation of 8.35 miles. Find the elevation of the plane before its descent.
Answers
You would add these two numbers to find what the started at because the inverse of subtraction is addition.
