The shadow of a 60 foot pole is a 100 feet long. What is the angle of evaluation from the end of the shadow to the top of the pole?

Answers

Answer 1

Answer:

θ = 36.86°

Step-by-step explanation:

Given that,

The shadow of a 60 foot pole is a 100 feet long.

We need to find the angle of elevation from the end of the shadow to the top of the pole.

Height, h = 60 foot

Hypotenuse, H = 100 feet

Using trigonometry to find it.

[tex]\sin\theta=\dfrac{\text{Height}}{\text{Hypotenuse}}\\\\\sin\theta=\dfrac{60}{100}\\\\\theta=\sin^{-1}(\dfrac{60}{100})\\\\\theta=36.86^{\circ}[/tex]

So, the angle of elevation is 36.86 degrees.


Related Questions

35 degrees divided by 20

Answers

Answer:

1.75 degrees

Step-by-step explanation:

The artist realizes she has 49 ounces left . How many ounces of blue does she need to add

2 ounces of blue paint to every 7 ounces of yellow

Answers

Answer:

hwope this helps \(=^‥^)/’`

Step-by-step explanation:

Help me please......

Answers

Answer:

i believe it would be -3

Step-by-step explanation:

9 + -12 = -3

Please help ASAP !!

Answers

Answer: surface area is 215.27; volume is 297.1

Step-by-step explanation:

you have to find the radius first, c = 2(pi (3.14))r, the formula for surface area is 4(pi(3.14)r^2, the formula for volume is 4/3(3.14(pi))r^3

30% of what number is 150? A. 500 B. 50 C. 45 D. 200

Answers

Answer:

500

Step-by-step explanation:

.

Answer:

A. 500

Step-by-step explanation:

We know that it can't be B. or C. since it has to be greater than 150, so (I know this isn't the way to do it) bet is you try multiplying your leftover answers you have by .3 you would see that 200 times .3 is  60, so that isn't it but 500 times .3 is 150!

I hope this helps and you have a great day! :)

Steph Curry scored 62 points in 36 minutes of playing time. What was the unit rate? (points per minute)

A. 9
B. 1 13/18
C. 25.3
D. 6

Answers

Answer:

b

Step-by-step explanation:

it is

Answer:

B. 1 13/18

Step-by-step explanation:

1 13/18 x 36 = 62

does anyone understand this i never get it

Answers

Answer: 18

Step-by-step explanation:

6 ÷ 2 = 3

162 ÷ 54 = 3

The constant ratio is 3

6 × 3 = 18

Hope I helped!

what is the equation of the line passing through the point (2,-1) with a slope of -3

Answers

Note: this answer assumes that the equation of the line must be in slope-intercept form.

Answer:

[tex]y= -3x + 5[/tex]

Explanation:

When you need to write an equation and know its slope and a point it intersects, you can use the point slope formula [tex]y-y_1 = m (x-x_1)[/tex] first. In order to write an equation using this formula, the [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] must be substituted in for real values.

The [tex]m[/tex] represents the slope, so write the slope of this equation, -3, in its place. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects. We know that the line must intersect the point (2, -1). Write 2 in the place of

[tex]y-(-1) = -3(x-(2))[/tex]

[tex]y+1 = -3(x-2)[/tex]

Now, to put it in slope-intercept or [tex]y = mx + b[/tex] form, just expand the right side and isolate [tex]y[/tex]:

[tex]y+1 = -3(x-2)\\y + 1 = -3x + 6 \\y = -3x + 5[/tex]

Therefore, [tex]y= -3x + 5[/tex] is the answer.

Subtract $987.59 from $1,581.06.

The difference is?

A. $593.47
B. $603.47
C. $693.47
D. $694.47​

Answers

Answer

A=1,597.06

Step-by-step explanation:

Given f(x) = x^3 + kx + 2, and x + 1 is a factor of f(x), then what is the value of
k?

Answers

Answer:

k = 1

Step-by-step explanation:

Given that,

[tex]f(x) = x^3 +kx + 2[/tex]

If (x+1) is a factor of (x), we need to find the value of k.

Using remainder theorem to find it.

Put (x+1) = 0

x = -1

Put x = -1 in equation below.

[tex]x^3 + kx + 2=0\\\\(-1)^3+k(-1)+2=0\\\\-1-k+2=0\\\\1-k=0\\\\k=1[/tex]

So, the value of k is 1.

5th grade pls help ik my pfp is my face but I look like a different grade

Answers

Answer:

18

Step-by-step explanation:

First, you divide the 10 and the 5, which leaves you with 2. Then you do 15-2+5 from left to right, and it equals 18.

(hope this helps...brainliest??)

The manager of a theater wants to know whether the majority of its patrons were adults or children. one day 5100 tickets were sold in the receipts totaled $22,210. The adult admission is $5.50, and the children’s admission is $3.50. How many adult patrons were there?

Answers

Answer:

x= 2,180

x= number of adult tickets sold

Step-by-step explanation:

First, we need to establish the system of equations:

x= number of adult tickets sold

y= number of children tickets sold

5.5x + 3.5y = 22,210

x + y = 5,100

Now, we isolate one variable in a formula and substitute its value in the other:

x= 5,100 - y

5.5*(5,100 - y) + 3.5y= 22,210

28,050 - 5.5y +3.5y = 22,210

2y= 5,840

y= 2,920

x= 5,100 - 2,920

x= 2,180

Someone answer this for me. I will give u branily whoever right.

Answers

Step-by-step explanation:

21x+72+105+78=360

21x=105

x=5

A diagram of a new competition swimming pool is shown. If the width of the
pool is 25 meters, find the length of the actual pool. (Round to the nearest
tenth)

Answers

47m at least I think it is

What is the measurement of the indicated central angle. 6 pi. R=15

Answers

Answer:

r=12

Step-by-step explanation:

r=12

circumference of arc = theta/360*2πr=3π given

Pi cancels

theta/360*2*12=3

theta*6/90=3

theta*3/45=3

3 cancels,45 to the other side

theta=45 degrees

This should do it :)

EMERGENCY IF you dont know the answer do not answer IT

Answers

Answer:

[tex]x^2+11x+24[/tex]

Step-by-step explanation:

The area of a rectangle is given by [tex]l\cdot w[/tex]. Plugging in our given values, we get:

[tex]A=(x+3)(x+8)=x^2+8x+3x+24=\fbox{$x^2+11x+24$}[/tex].

This is a polynomial in standard form [tex]\checkmark[/tex]

Answer:

x^2 + 11x + 24

Step-by-step explanation:

x times x is x^2

x times 8 is 8x

x times 3 is 3 x

8 times 3 is 24

add it all together and its x^2 + 11x + 24

32 POINTS! *URGENT*
When Pizza Paradise first opened their business in 2010, they decided on a price for their large cheese pizza. After their first full year in business, they decided they would increase the price at a constant rate each year for four years. The new price in 2011, after their first increase, was $7.75. The price in 2014 was $10.00.
What is the slope!

Answers

Answer:

The price in 2010 was $7. every year the price went up $0.75 slope should be 0.75x

Step-by-step explanation:

Answer:

lol i had the same question

Step-by-step explanation:

Given ΔPQR and ΔSTU, what is m∠Q?

Answers

Given that ΔPQR and ΔSTU are similar triangles, m∠Q = 64°.

Similar TrianglesThe ratios of the corresponding sides of similar triangles are always equal to each other, that is, the corresponding sides are proportional.Also, corresponding angles of two similar triangles are congruent.

Thus:

ΔPQR and ΔSTU are similar because:

PQ/ST = PR/SU = QR/TU = 3.5

Therefore,

m∠Q = 180 - 70 - 46

m∠Q = 64°

Thus, given that ΔPQR and ΔSTU are similar triangles, m∠Q = 64°.

Learn more about similar triangles on:

https://brainly.com/question/2644832

what is the value of x when x:3=2.13

Answers

It’s 0.71 is the answer I divid

Answer:

The other dude was wrong :( the answer is 6.39

Step-by-step explanation:

I took the test on K12

slope is 2 and contains the point (5,-7)

write the equation of a line ​

Answers

Answer:

y = 2x - 17

Step-by-step explanation:

y = mx + b

m = 2

y = 2x + b

Plug in (5, -7) for x & y.

-7 = 2(5) + b

-7 = 10 + b

Subtract 10 from both sides.

-17 = b

y = 2x - 17

Check work.

-7 = 2(5) - 17

-7 = 10 - 17

- 7 = -7

Your answer is correct.


Subtract. Simplify (or reduce) your answer, if necessary.
2 1/5 - 5/6 =

Answers

Answer:

2 1/5 - 5/6 = 41/30

Step-by-step explanation:

Turn the denominator to be the same because if the denominator is not the same so you can't subtract neither can you add.

Next find the least common multiple of both denominator (5, and 6) and ask yourself what time the denominator would give you the least common multiply you got.

1/5 x 6/6 = 6/30 and 5/6 x 5/5 = 25/30

Your expression now would be 2 6/30 - 25/30

You can't subtract 6 from 25 so you have to turn the proper fraction into a improper fraction

2 6/30 = 2 x 30 + 6 = 66/30. 25/30 = 0 x 0 + 25 = 25/30.

Your new expression would be:

66/30 -  25/30

Now you can subtract 66 - 25 and you get 41

Therefore the correct answer is 41/30 you can not simplify the answer because the numerator is a odd number and the denominator is a even number.

I will give brainiest to whoever answers correctly !!

Answers

Answer:

26275

Step-by-step explanation:

if simple interest its just .017*25000 which is 1 year then multiply by 3 and add to 25000

Subtract 2w + 4 ​​from​ 3w + 6 please help!!

Answers

Answer:

w+10

Step-by-step explanation:

3w+6-2w+4=w+10

Answer:

Step-by-step explanation:

x subtracted from y means y-x

2w+4 subtracted from 3w+6= (3w+6)-(2w+4)

don't forgett to diestribute invisible -1

-(2w+4)=-1(2w+4)=-2w-4

so

3w+6-2w-4=

3w-2w+6-4=

1w+2=

w+2

Help please :)
And tell me the slope please

Answers

Answer:

[tex]\frac{ \frac{7}{3}}{\frac{1}{3}}[/tex]  is the slope

Step-by-step explanation:

rise over run

4x+8≥5(3-x)
solve with steps pleaseee!

Answers

Answer:

[tex]x >\ or\ =\ \frac{7}{9}[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ that,\\4x+8>\ or =\ 5(3-x)\\Hence,\\We\ can\ treat\ inequality\ in\ the\ same\ way\ we\ do\ for\ solving\ equalities.\\Hence,\\4x+8>\ or\ =\ 5(3-x)\\By\ simplifying\ the\ RHS,\\4x+8 >\ or\ =\ 15-5x\\Hence,\\Adding\ (+5x)\ to\ the\ LHS\ and\ RHS,\\4x+8+(5x) >\ or\ =\ 15-5x+(5x)\\Simplifying,\\5x+4x+8 >\ or\ =\ 15+(5x-5x)\\9x+8 >\ or\ =\ 15\\Adding\ (-8)\ to\ both\ LHS\ and\ RHS,\\9x+8+(-8) >\ or\ =\ 15+(-8)\\Simplifying,\\9x+(8-8) >\ or\ =\ 7\\[/tex]

[tex]9x >\ or\ =7\\x >\ or\ =\ \frac{7}{9}[/tex]

Step-by-step explanation:

4x+8≥5(3-x)

4x+8≥15-5x

adding 5x on each term

4x+5x+8≥15-5x+5x

9x+8≥15

subtract each term by 8

9x+8-8≥15-8

9x≥7

dividing each term by 9

9x/9=7/9

x≥7/9

is your answer

Find the sum of the expressions .
8+x-13+n(3-x) =

Answers

Answer: =−nx+3n+x−5

Step-by-step explanation:

The formula for the volume of a sphere is given below and the relationship between the radius r and the diameter d is r=d/2. Find the EXACT volume of the sphere in terms of the diameter d. Be sure to fully simplify the expression

Answers

Answer:

for the volume of the sphere its answer is 4πr³/3 which when converted to diameter will be 2(4πr³/3) as r=diameter/2 so diameter =2r

Answer:

4πr³/3

Step-by-step explanation:

When converted to diameter will be 2(4πr³/3) as r=diameter/2 so diameter =2r

whats the unit rate of 4 and 3/4

Answers

Answer:

3/16

Step-by-step explanation:

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

[tex]x=1,CD=5[/tex]

Step-by-step explanation:

It's given that [tex]ABCD\cong FGHJ[/tex]. Because the side [tex]CD[/tex] corresponds with the side [tex]HJ[/tex], their lengths will be equal. Therefore, we have:

[tex]2x+3=3x+2,\\x=1[/tex]

Plugging [tex]x=1[/tex], we have:

[tex]CD=2(1)+3=5[/tex].

a florist can creat 16 bouquets of flowers during an 8-hour workday. how many bouguets can the florist creat per hour what is the unit rate​

Answers

Answer:2 per hour

Step-by-step explanation:16 divided by 8 equals 2 making it 2 per hour

Answer:

A florist can create 2 bouquets of flowers per hour

Step-by-step explanation:

16/8 = 2

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