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
A circle is centered at A(-5,-8)A(−5,−8)A, left parenthesis, minus, 5, comma, minus, 8, right parenthesis. The point M(-1,-3)M(−1,−3)M, left parenthesis, minus, 1, comma, minus, 3, right parenthesis is on the circle. Where does the point V(-11,-6)V(−11,−6)V, left parenthesis, minus, 11, comma, minus, 6, right parenthesis lie?
PPLLLSSSSS HELPPPP!!!!!! I will mark brainliest!!!!
Answers
Answer:
Its inside the circle
Step-by-step explanation:
Thats the answer on khan (RIP me i searched this up to get the answer and got it wrong to answer the right answer...)
Answer: Inside the circle
Step-by-step explanation: Khan Academy
someone help with the first one
Answers
Answer:
45
Step-by-step explanation: 180- 135
Answer:
<L = 45
<N = 135
Step-by-step explanation:
<L + 135 = 180
<L = 180 - 135
<L = 45
<N = 135 because of vertical angles
Solve the system of linear equations. 3x−2y=1 9x−6y=3
Answers
-2y= -3x + 1
Divide -2 to everything
y= 3/2x - 1/2
Other equation (get y by itself)
-6y= -9x + 3
y=3/2x - 1/2
Use substitution
3/2x-1/2=3/2-1/2
0=0
All real numbers (any value of x makes the equation true)
An eighth grade class was divided into two groups to go to the state fair. The students in the first group bought 9 food tickets and 14 ride tickets for $66.50 total. The students in the second group bought 18 food tickets and 14 ride tickets for $98.00 total. What was the cost of each food ticket and each ride ticket.
Answers
Answer: HOW AM I SUPPOSED TO KNOW?!
Step-by-step explanation:
What is the solution to
this system of linear
equations?
Answers
Write 4/10 and 3/5 as a pair of fractions with common denominator and Write 2/7 and 1/3 as a pair of fractions with common denominator
Answers
2/7 and 1/3 = 6/21 and 7/21
Write a function rule for “The output is five more than the input.”
y=x-5
y=x+5
y=mx=b
Answers
Answer:
y = x + 5
Step-by-step explanation:
The output (y) is five more than the input (x)
and this is expressed symbolically as
y = x + 5
A parabola has focus (5,1) and directrix y=-3.
Where is the parabola’s vertex?
Answers
Answer:
vertex = (5, - 1 )
Step-by-step explanation:
The focus and directrix are equidistant from the vertex
Since the equation of directrix is y = - 3 then the parabola is vertical,
The distance between the focus and directrix is
| 1 - (- 3) | = | 4 | = 2
Thus the vertex is 2 units below the focus
vertex = (5, 1 - 2 ) = (5, - 1 )
A parabola has focus (5, 1) then the vertex of the parabola will be (5, -1).
What is a Parabola?A location on the curve that is equally spaced from both a fixed location and a fixed line is referred to as a parabola. The parabola's focus requires and fixed line are referred to as its foci and directrix, respectively.
As per the given information in the question,
The focus and directrix are equidistant from the vertex then,
The parabola is vertical because the directrix's equation is y = - 3; hence, the focus and directrix are separated by:
|1 - (-3)| = |4| = 2
The vertex is therefore 2 units below the focus.
vertex = (5, 1 - 2) = (5, -1)
To know more about Parabola:
https://brainly.com/question/21685473
#SPJ2
Write 9^3 as an equivalent expression using repeated multiplication.
Answers
Answer:
9x9x9
Step-by-step explanation:
The bear population increases at a rate of 2% per year. There are
1573 bear this year. Write a function that models the bear population.
How many bears will there be in 10 yr?
Answers
Answer:
The answer would be P(x) = 1573*(1.02)^x
Find the area.I will mark the BRAINIEST
Answers
Answer: C. 64 ft
Step-by-step explanation:
PLEASE HELP! It’s super important!
Answers
Answer:
2. a. - 1b.[tex] - \frac{2}{3} [/tex]3. a. 4b. 6Step-by-step explanation:
[tex]2. \: a. \: \sqrt[3]{ - 1} [/tex]
[tex] = \sqrt[3]{( - 1 )\times ( - 1 )\times( - 1)} [/tex]
= -1 (Ans)
[tex]b. \: \sqrt[3]{ - \frac{8}{27} } [/tex]
Since,
[tex] \sqrt[3]{ - x} = - \sqrt[3]{x} [/tex]
Hence,
[tex] = - \sqrt[3]{ \frac{8}{27} } [/tex]
[tex] = - \sqrt[3]{ \frac{2 \times 2 \times 2}{3 \times 3 \times 3} } [/tex]
[tex] = - \frac{2}{3} (ans)[/tex]
[tex]3. \: a. \: 10 - 2 \sqrt{9} [/tex]
[tex] = 10 - 2 \sqrt{3 \times 3} [/tex]
= 10 - 2 × 3
= 10 - 6
= 4 (Ans)
[tex]b. \: 70 - {( \sqrt[3]{64} )}^{3} [/tex]
[tex] = 70 - \sqrt[3]{ {64}^{3} } [/tex]
[tex] = 70 - \sqrt[3]{64 \times 64 \times 64} [/tex]
= 70 - 64
= 6 (Ans)
I will make the brailsit plz help
Answers
Answer:
hindi ko alam yan wala akong pakialam
Step-by-step explanation:
tanga tanga
Please please I beg you
Answers
Answer:
2x+2
hope it helped:))))))))
Answer:
2x + 2
Step-by-step explanation:
f(x) + g(x)
= 9 - 3x + 5x - 7 ← collect like terms
= 2x + 2
If you answer this correctly, you are very cool guy. :)
Answers
-1.5 A
3^2 G
0.5^3 B
30 E
solve for x: 2+x+x+x+4=9
Answers
Answer:
x=1
Step-by-step explanation:
2+1+1+1+4=9
2+x+x+x+4=9
=> 3x + 6 = 9
=> 3x = 9-6
=> 3x = 3
=> x = 3/3
=> x = 1
any one who tells me what 2+2 is you get brainiest
yalls lucky im feeling nice today btw just put anything as a answer and ill but brainiest
Answers
Answer:
4
Step-by-step explanation:
ty
hav meme
Answer:
2 + 2 = 4
Step-by-step explanation:
Can I get brainliest mademoiselle?
whoever gets this corrects gets brainliest!!!
Answers
Answer:
d
Step-by-step explanation:
the submarine is below water so that's considered a negative and the number in the equation is negative 3. and if you keep multiplying a positive by a negative the number stays negative and thats the submarine getting deeper and deeper into the ocean if that makes sense.
The others represent positive change
Help ASAP I’ll mark you as brainlister
Answers
Answer:
3/4[tex]\pi[/tex] x 180/[tex]\pi[/tex]= 135°
Step-by-step explanation:
whats the slope using Rise/Run?
thanks, if you help
Answers
Answer:
the slope of the given line is m = rise / run = -1/2
Step-by-step explanation:
Going from (1, -1) to (3, -2), the 'rise' is actually a drop of 1 unit; the 'run' is +2.
Thus, the slope of the given line is m = rise / run = -1/2
can someone please help me is the answer-8
Answers
Answer:
h(-8)=-8
Step-by-step explanation:
Since we are finding h(-8), we plug -8 into the equation:
h(-8)=((-8)²+3(-8))/(4(-8)+27)
h(-8)=(64-24)/(-32+27)
h(-8)=40/-5
h(-8)=-8
Therefore, h(-8)=-8, which means your answer is correct!
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answers
Answer:
A. When the team scored 52 points, the median number decreased.
Step-by-step explanation:
The median now is 88. Without the 52, (using the median formula,) it would become 88.5. Since 88.5 is larger than 88, it means the median decreased after 52 was added. There was no change when 91 was added.
There are 84 soccer players in a local league. At tjis rate how many soccer players are there per team?
Answers
Answer:
how many teams are there?
Step-by-step explanation:
there is a line that includes the point (2,2) and has a slope of 3. What is its equation in slope intercept form?
Answers
Answer:
y = 3x - 4
Step-by-step explanation:
y = 3x + b
2 = 3(2) + b
2 = 6 + b
-4 = b
y = 3x - 4
Someone help! I'll give brainslist
Answers
Answer:
square root of 202
Step-by-step explanation:
9^2+11^2=x^2
81+121=202
Is 3x + 2y = 6 a function??
A. No, the equation is not a function; there is an x-value that produces two distinct y-values.
B. Yes, the equation is a function; the graph of the line passes the vertical line test.
C. Yes, the equation represents a function because there is both an x and a y
SHOW WORK SO I KNOW YOURE NOT GUESSING, AND NO 'LINKS' THEY ARE VIRUSES, X
Answers
Answer:
B
Step-by-step explanation:
2y=-3x+6
y = -0.5x + 3
this is a function because it is a linear equation that isn’t undefined
Find the unit rate 5 cars for 20 people
Answers
Answer:
4 people per car
Step-by-step explanation:
To find the unit rate we would have to do
20/5=4
A teacher places 10 marbles in a bag.
- 2 blue marbles
- 3 red marbles
- 5 yellow marbles
A student draws one marble from the bag, does not replace it, then draws another marble from the bag. What is the probability that the first marble will be yellow and the second marble will be red?
Answers
Step-by-step explanation:
Since they do not replace it the total amount of marbles are the same
Can u find the value of the x.
Answers
Answer:x=8
Step-by-step explanation:
x²-3x=-3x+64
- Add 3x to both sides
x²-3x+3x=-3x+3x+64
= x²=64
- Square both sides
√x²=√64
x=±8
- Since the question is asking for the positive value of x, the answer is 8.
A triangle prism has a volume of 240m3.The area of the base is 16m2 what's is the height of the triangle prism
Answers
Answer:
The height is 45 m
Step-by-step explanation:
The volume of a triangular prism is V = (1/3)(area of base)(height)
If the voume is 240 m^3 and the area of the base 16 m^2, then the height of the prism is determined as follows:
3V = (area of base)(height)
Dividing both sides by (area of the base), we get:
3(240m^3)
height = ------------------------- = 45 m
16 m^2
