What is the angle of elevation of the sun when a 49-ft mast casts a 22 ft shadow?

Answers

Answer 1

Answer:

[tex]\theta=65.82^{\circ}[/tex]

Step-by-step explanation:

Given that,

Perpendicular = 49 ft

Base = 22 ft

We need to find the angle of elevation of the sun. It can be calculated using trigonometry as follows :

[tex]\tan\theta=\dfrac{P}{B}\\\\\tan\theta=\dfrac{49}{22}\\\\\theta=65.82^{\circ}[/tex]

So, the required angle of elevation is [tex]65.82^{\circ}[/tex].


Related Questions

Convert 0.47 recurring into a fraction in its simplest form

Answers

Answer:

47/99

Step-by-step explanation:

      100x = 47.4747...

(-)          x = 0.4747...

------------------------------

       99x = 47

x = 47/99

Answer: 47/99

The fraction that represent the decimal 0.47 is 47/99.

Given decimal: 0.47

To convert the decimal number 0.47 recurring into a fraction, set up an equation to represent the repeating part.

Let the repeating decimal x as

0.47x = x

Now, shift the decimal point to the right to align with the repeating part:

100x = 47.47x

Now, subtract the left side from both sides:

100x - x = 47.47x - 0.47x

99x = 47

Multiply both sides by 100:

99x * 100 = 47 * 100

9900x = 4700

Divide both sides by 9900 to isolate x:

x = 4700 / 9900

In this case, both 4700 and 9900 are divisible by 100:

4700 / 100 = 47

9900 / 100 = 99

So, the simplified fraction is:

x = 47 / 99

Therefore, 0.47 recurring is equal to 47/99 in its simplest form.

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PLZZZZ HELP MEEE
What is the value of x?



Enter your answer in the box.


x =

Answers

Answer:

x= 4

Step-by-step explanation:

Please see the attached pictures for the full solution.

Help me with this please

Answers

Answer:

the answer for b=6

Step-by-step explanation:

how:

it is 6 because go down the y-axis until the line stop on the y-axis and the line stop exactly on the 6 so i make 6 the answer to be

hope that helps

if it is correct please mark as brainliest

thank you

19NBoli

:)

A bean bag is filled with red and green beans. of the total number of beans, 30% are red. There are 720 red beans. How many beans are there in the bag?

Answers

Answer:

216 red beans

Step-by-step explanation:

just do the percent minus with 720

Answer:

2400 beans in the bag

Step-by-step explanation:

Let t = total no. of beans in bag

.30t = no. of red beans in bag

Since there are 720 red beans in the bag,

we have .30t = 720

                    t = 720/.3

                    t = 2400 beans in the bag

A chettah can run 2 2/5 kilometers in 1 1/2 mintues at top speed. What id the top speed of a cheetah in kilometers per hour ?



35pts if you can help me

Answers

Answer:

70 miles per hour and 96 kilometers per hour

Cheetahs can go from 0 to 60 miles per hour in just 3.4 seconds and reach a top speed of 70 miles per hour. While they are the fastest land animal in the world, they can only maintain their speed for only 20 to 30 seconds.

Step-by-step explanation:

Please tell me if its wrong then ill change it ^-^ if i can find the right answer fir you!

but if it is right i hope it helps!

helppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

A!

Step-by-step explanation:

10 cubic feets volume is equivalent to 25.85 inches.

Answer:

Option B

Step-by-step explanation:

Volume of a cube is:

[tex]A = s^3[/tex]

s - side length

All sides are the same length in a cube.

We are given the information that the total volume of the cube is 10 cubic feet.

[tex]10=s^3\\\\\sqrt[3]{10}=\sqrt[3]{s^3}\\\\\boxed{2.154435... = s}[/tex]

2.154435... ≈ 2.15

The approximate height of the cube is 2.15 inches.

Since the height of the shelf is 24 inches tall, the cube should be able to fit.

2.15 < 24

Option B should be the correct answer.

Hope this helps.


If sin(2x)=cos (x+30°), what is the value of x?

Answers

Answer:

x=20

Step-by-step explanation:

Please mark as brainliest

Find the circumference and area of the circle. Use 3.14 for π. Round to the nearest hundredth if necessary

Answers

Answer:

circumference is 25.15m

area is 50.24m

Step-by-step explanation:

hope this helps

Help me get this answer please

Answers

3 I think hope this helps

Answer:

I don't know what exactly the question is but I think 1/3

Step-by-step explanation:

The volume of a sphere is 113.1 cm3; find the diameter of the sphere.

Answers

Answer:

del

Step-by-step explanation:

d

FREE BRAINLIST FOR CORRECT ANSWERS

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Can I get brainly?

If £2000 is placed into a bank account that pays 3% compound interest per yea
how much will be in the account after 2 years?​

Answers

Answer:

$2120

Step-by-step explanation:

method:

3% x $2000 = 60

100%

$60 per year = $120 per year

Ans: $2120 will be in the account

marco has a rope that is 16 feet long. He ties his rope to liam and pams with a square knot that uses 1 1/8 feet of rope. How long are the three ropes tied together? Write and solve an equation

Answers

answer: 16(1 1/8x3)=y y=54

Step-by-step explanation:

1 1/8x3= 3 3/8

3 3/8x16=54

The length of the three ropes together is 54 feet.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Marco has a rope that is 16 feet long. He ties his rope to Liam and pams with a square knot that uses 1¹/₈ feet of rope.

The length will be calculated as,

E 16(1¹/₈x3)

E = 1¹/₈x3 = 3³/₈

E = 3³/₈x16

E = 54 feet

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what is the answer to this plz

Answers

Answer:

Step-by-step explanation:

Surface area = 2(12 × 8) + 2(12 × 3) + 2(3 × 8) = 312 in²

Select all the expressions that have the same value.
33

34

62

63

92

93

Answers

Answer:

There's no expressions.

I need help with this please help will give you brainiest.

Answers

10 for number 4 and 5 is -2q

Parallel to the line 3x-8=3y and passes through (2,3)

Answers

Answer:

   

Step-by-step explanation:

please answer number 7

Answers

Answer:I think it would be a

Step-by-step explanation:I'm pretty sure it's a because near the origin is 0,0 but it would be a positive then a negative

Allison has a loyalty card good for a discount at her local hardware store. The item she wants to buy is priced at $36, before discount and tax. After the discount, and before tax, the price is $30.96. Find the percent discount.

Answers

Answer:

14%

Step-by-step explanation:

Original price of item = $36

Price after discount = $30.96

Percentage discount = x

To get the percent discount

x = 36 - 30.96/36

x = 5.06/36

x = 0.14

Percentage discount = 0.14 % 100

Percentage discount = 14%

write the phrase as an expression.

the product of 3+12

an expression is _____

Answers

Answer:

Writing expressions | Math (article) | Khan Academy

Step-by-step explanation:

What is the volume of the rectangular prism?
Use the drop-down menus to show your answer.

Rectangular prism is 5 ft tall and with a base of 18 square ft.

The volume of the rectangular prism is
90


Choose...
Feet
Square Feet
Cubic Feet

Answers

Answer:

90 cubic feet

Step-by-step explanation:

A rectangle prism formula is V = Base x Height.

V = 18 square ft. x 5 ft.

V = 90 cubic feet

The volume of the rectangular prism is 90 feet³.

What is Volume?

Volume is a three-dimensional quantity used to calculate a solid shape's capacity. That means that the volume of a closed form determines how much three-dimensional space it can fill.

As, the Volume of Rectangular Prism is

= Base Area x Height

We have the rectangular prism whose Height is 5 feet tall

and, Base Area = 18 square

Now, the Area of Rectangular Prism is

= Base Area x Height

= 18 x 5

= 90 feet³

Thus, the Required Volume is 90 feet³.

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PLS HELP ME PLSSSSSSS

Answers

Answer:

3/10

Step-by-step explanation:

Brainliest is much appriciated

Answer:

3/10    i believe, if it is right

Step-by-step explanation:

which rule best represents the dilation that was applied to quadrilateral fghj to create quadrilateral fghj​

Answers

Answer:

no

Step-by-step explanation:

oof

Answer: (x,y) -> (1.4x,1.4y)

Step-by-step explanation:

I got it right

Solve for x
A rectangle, the area is 84.
One side is 12, what is x ?

Answers

7? i think its simple division

Answer:

7

Step-by-step explanation:

area = l * w

we know one side is 12, and area = 84, so

84 = 12x

divide by 12

x = 7

Twelve inches is cut from a board. The
remaining board is 18 inches long. Write
an equation to represent the situation. I NEED WORK TOO

Answers

Answer:

x-12=18

x=30

Step-by-step explanation:

x-12=18

that's the equation

add 12 to each side, cancelling out the -12

x=30

ok so is that what you mean by work?

Which of the following angles are congruent to 5? Select all that apply.

Answers

Step-by-step explanation:

in my opinion, maybe it's ∠1 and ∠4

∠1 and ∠4 are congruent to ∠5 by corresponding and alternate angle theorem.

What is a transversal?

We know when a transversal intersects two parallel lines at two distinct points,

Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.

Given, line l and line m are intersected by a transversal line t.

Angles congruent to ∠5 is ∠4 by alternate interior angle theorem.

∠1 is also congruent to ∠5 by the corresponding angle theorem.

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If n = 6, what is the value of 9n−4?

Answers

Answer:

50 because,

Step-by-step explanation:

9n means 9 times 6. Which equals to 54, subtract 4 to get 50

Answer:

50

Step-by-step explanation:

If n = 6 the equation becomes 9(6)-4 or 9 x 6 - 4

9 x 6 = 54

54 - 4 = 50

Thus, the answer is 50

Casey described the data on a dot plot as having a spread from 0 to 5 and a center of 3. Which dot plot shows the data Casey is describing?

Answers

Answer:

D. number of reptiles

Step-by-step explanation:

The dot plot that Casey is describing shows the Number of Reptiles.

What is a dot plot?

A dot plot visually groups the number of data points in a data set based on the value of each point.

Given are three dot plots for different data, they are showing, Number of Mammals, Number of Amphibians and Number of Reptiles.

Casey described the data on a dot plot as having a spread from 0 to 5 and a center of 3.

The only similar description for the dot plot that Casey is describing is the graph which shows the Number of Reptiles, as it runs from 0 to 5.

Hence, the dot plot that Casey is describing shows the Number of Reptiles.

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The question do not have graph, so, I solved the question attached in the solution.

how do I get this answer ​

Answers

Answer:

Round it otherwise round it because i

Which graph matches the equation y+6=>«x + 4)?
10
8
8
(4,0)
-10-3 - 22
146810X
403)
(4.6)
B
0
10
8
6
(5,5)

Answers

Answer:

B

Step-by-step explanation:

By using graph of a function, the graph of the equation y + 6 = x + 4 has been shown below

What is graph of a function?

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

here, we have,

At first, it is important to know about function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

Graph of a function f(x) is the collection of points of the form (x, f(x))

The equation is y + 6 = x + 4

y = x + 4 - 6

y = x - 2

The graph has been shown below

To learn more about graph of a function, refer to the link-

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