Use what you know about sine, cosine, and tangent to calculate the height of the buildings in the diagram below.

Use What You Know About Sine, Cosine, And Tangent To Calculate The Height Of The Buildings In The Diagram

Answers

Answer 1

Answer:

x = 32 feet

Step-by-step explanation:

By applying tangent rule in ΔACD,

tan(40°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

             = [tex]\frac{AB+AC}{CD}[/tex]

             = [tex]\frac{x+BC}{87}[/tex]

x + BC = 73 -----(1)

By applying tangent rule in ΔBCD,

tan(25°) = [tex]\frac{BC}{CD}[/tex]

             = [tex]\frac{BC}{87}[/tex]

BC = 40.57

By substituting the value of BC in equation (1),

x + 40.57 = 73

x = 32.43

x ≈ 32 feet

Use What You Know About Sine, Cosine, And Tangent To Calculate The Height Of The Buildings In The Diagram

Related Questions

HELP ME PLEASE GUYS! :)

Answers

Answer:

Step-by-step explanation:

New equation equals   - 5y = - 35

Step 2. y = 7

Step 3. 5x - 4( 7 ) = - 23

Step 4. ( 1 , 7 )

Help me pls imma fail

Answers

Answer:

-

Step-by-step explanation:

Admission to the gymnastics meet was $2.40 for adults and $1.25 for students. If 540
tickets were sold for a total of $934.90, how many tickets of each were sold? (i’ll give brainliest just answer within the next 15 mins pls!!)

Answers

Answer:

hi friends I need help with the following me

If you change something about an atom, you change the type of element it makes.

A. True

B. False

No links​

Answers

Answer:

B

Step-by-step explanation:

Depends on what you change. If you change the number of electrons or neutrons, it will still be the same element. It will just become a charged ion or an isotope respectively. If you change the number of protons, it will become a different element.

Hope that helps

On her multiple choice math test, 1720 of Lydia's answers are correct. What is the ratio of correct to incorrect answers for Lydia on her test?

Answers

Answer: [tex]\frac{17}3}[/tex] or 17:3

Step-by-step explanation:

Since Lydia got 17 out of 20 questions correct, that means she got 3 out of 20 incorrect. To get the ratio of correct (17) to incorrect (3) answers, we can simply divide the two numbers as follows:

[tex]\frac{17}3}[/tex] or 17:3

Since this ratio is already in simplest terms, this is the final answer.

Plzzzzz help plzzzzz help meeee

Answers

The answer would be D. Seven hundred thousand nine hundred and four

Cooper drove his car for 2 hours at a constant speed of 60 miles per hour and then for another 30 minutes at a constant speed of 40 miles per hour. How far did Cooper drive?

100 miles
170 miles
180 miles
160 miles

Answers

60miles+40miles=100miles

Answer:

None of the answer choices show the correct answer.

The actual answer is 140 miles.

Step-by-step explanation:

Since Cooper drove 60 miles per hour for 2 hours, that means that he drove 120 miles for the first 2 hours.

60 * 2 = 120

Cooper then drove for another 30 minutes at a speed of 40 miles per hour.

30 minutes is half of and hour so we need to divide the 40 miles by 2.

40 / 2 = 20

Now we just have to add them together.

120 + 20 = 140

So the answer is 140 miles.

Hope this helps! :)

૮ ・ﻌ・ა

Describe how you will know if two variables are proportional in a table

Answers

Answer:

The graph of a straight line through the origin with a slope equal to the unit rate.


Which of the following represents the solution of
3/2
=
3/2x
-
6/5x


Answers

Answer:

x = 5

Step-by-step explanation:

3/2x is same as 15/10x

6/5x is same as 12/10x

3/10x = 3/2

cross-multiply:

6x = 30

x = 5

identify the x- and y- intercepts for the line: -3x+3y=27

Answers

Step-by-step explanation:

-3x + 3y = 27

-x + y = 9

y = x + 9

so the y-intercept is 9 (y value when x =0).

and as point (0, 9)

the x-intercept is the x value when y = 0 :

0 = x + 9

x = -9

and as point (-9, 0)

x/5 - 74 = 26

what is x​

Answers

Step-by-step explanation:

x/5 - 74 = 26

x/5 = 26 + 74

x/5 = 100

x = 100 x 5

x = 500

A Freight Train Travels 144 miles in 6 hours.How Far will it travel in 15 hours



Please help me out kindda hard

Answers

Hello there, there are multiple ways of solving this problem, let me show you.

[tex]{\huge{\boxed{\mathbb{QUESTION}}}}}[/tex]

A Freight Train Travels 144 miles in 6 hours. How Far will it travel in 15 hours?

_________________

For this problem I will show you 2 methods.

[tex]{\huge{\boxed{\mathbb{METHOD\:ONE}}[/tex]

Cross multiplication, cross multiplication involves algebra to use.

Let x be our answer for this problem. Here is our it would look like

[tex]\frac{6}{144}=\frac{15}{x}[/tex], now we will cross multiply, here is what it'd look like now.

[tex]6x=2160[/tex], then do simple algebra and divide both sides by 6. and then we get [tex]x=360[/tex] miles in 15 hours.

_________________

[tex]{\huge{\boxed{\mathbb{METHOD\:TWO}}[/tex]

For method two we can look for the unit rate. Also known as our rate for one.

divide 144 by 6 and we get 24, then multiply it by 15 and we get 360.

_________________

[tex]{\huge{\boxed{\mathbb{EXACT\:ANSWER}}[/tex]

360 miles in 15 hours.

Have a good day :) !
360 mph . 144 divided by 6 equal 24 mph , so 24 times 15 will equal 360 .

A class has $140 for tickets to a science museum. The teacher writes $140÷10=14. Alma says that tickets are $14 each. Mohamed says that $14 students are going on the trip. Who is correct?

Answers

Alma was definitely correct to say that the tickets are $14 each.

The total amount in dollars the class have for tickets to the science museum

is $140.

The teacher writes as follows:

140 ÷ 10 = 14

Alma says the tickets are $14 each.

Mohammed says that 14 students are going for the trip

The teacher divided 140 by 10. This means the number of student in the class is 10 not 14 as Mohammed enunciated.

The teacher divided the total amount available for the ticket($140) by the number of student in the class(10). Then the quotient ($14) is the amount in dollars which each student will pay for the ticket to the science museum.

Therefore, Alma was definitely correct.

learn more about algebra here:  https://brainly.com/question/11455464?referrer=searchResults

please help i'm stuck and it's a unit test if correct i will give brainiest
Which inequality represents this statement?
A number is no more than 5.

a. n≥5

b. n<5

c. n>5

d. n≤5

Answers

Answer:

d. n≤5

Step-by-step explanation:

This is the answer

Answer:

D) n≤5

Step-by-step explanation:

No more than 5 means that the number cannot exceed 5, but it's ok to have any number less than 5 or equal to 5. So, this means that D is correct.

(-9z + 8) + (-3z - 6)

Answers

Answer:

-12z + 2

Step-by-step explanation:

yeah-ya........ right???

The answer is -12z+2

guyssss please help me with this maths problem it's from coordinates I hope you will help me I literally need this one pls will give 8 points​

Answers

Answer:

find the perpendicular of the angle of pole

I could not find the answer so I guessed and got it right here you go

Answers

(1/4) + (-21/8) = -19/8 = -2.375
Ok done. Thank to me:>

Answer:

u can use the scientific calculator to answer this question easily.

Step-by-step explanation:

8 x 1/2=4 simplified

Answers

Answer:

Step-by-step explanation:

8➗2=4

since 1/2 is divinding

1) Derrick is sharing pizza with his 3 friends. They have 6/8 of a pizza. If they split the pizza evenly, how much pizza does each person get? Show your work with both a model and an equation.​

Answers

Answer:

3/16

Step-by-step explanation:

So Derrick is sharing pizza with 3 friend, so in total, there are 4 people.

There is 6/8 pizza in current total pizza.

[tex]\frac{\frac{6}{8}}{4} =6/32=3/16[/tex]

Answer:

2/8

Step-by-step explanation:

each person would get 2/8

6) Error Analysis. Analyze the work below, describe the error then
determine the correct value for x.
26 = 4x - 2
24 = 4x
6 = x

Answers

Answer:

The error is that 2 should have been added to both sides, 7 = x

Step-by-step explanation:

Y= 3x — 5 what is the slope and y-intercept

Answers

4x is the answer for this one





708.97 as a fraction

Answers

Ok done. Thank to me :>

Ms. Rowlen went Black Friday shopping and she bought a flat screen TV that originally costs $259.00. She used her super savings coupon of 45%, how much did Ms. Rowlen pay for the tv?

Answers

Answer:

142.55

Step-by-step explanation:

If total employee benefits are calculated as a percentage of their gross pay whitch of the following employees receive the largest percentage of their gross pay in employee benefits

Answers

The employee that receives the largest percentage of their gross pay in employee benefits is Marcel.

The percentage of employee benefits to total gross pay for each worker has to be determined.

Percentage = (total job benefits / gross pay) x 100

Emily: (33,600 / 32,600) x 100 = 103.07%

Jack: (34,700 / 33,700) x 100 = 102.97%

Judy: (33,900 / 33,400) x 100 = 101.5%

Marcel: (34,000 / 32,900) x 100 = 103.43%

A similar question was answered here: https://brainly.com/question/25764815

Please find attached a complete question

Help please !!!!!!!!

Answers

Answer:

yes

Step-by-step explanation:

yes, they are congruent for the AAS rule ( angle angle side)

Owen is driving to a concert and needs to pay for parking. There is an automatic fee of $12 just to enter the parking lot, and when he leaves the lot, he will have to pay an additional $3 for every hour he had his car in the lot. How much total money would Owen have to pay for parking if he left his car in the lot for 5 hours? How much would Owen have to pay if he left his car in the lot for tt hours?

Answers

Answer:

27$

Step-by-step explanation:

I do not know what you mean by tt hours, but I can create an equation for the problem

Y=3x+12

Essentially, every X hours he spends in the lot you add 3$, but you start off with 12$. Please mark this brainliest or thank it.

Which statement is true about the equation f(x)=g(x) given f(x)=2x+3 and g(x)=x^2? please help

Answers

Answer:

x=3 and x=-1

Step-by-step explanation:

If f(x)=g(x), then 2x+3=x^2:

x^2-2x-3=0

(x-3)(x+1)=0

x=3 and x=-1

We can conclude that the statement:

There are values of x for which f(x) = g(x)" is true.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

To determine which statement is true about the equation f(x) = g(x) given f(x) = 2x + 3 and g(x) = x²,

We can substitute the expressions for f(x) and g(x) into the equation and simplify:

f(x) = g(x)

2x + 3 = x^2

Now we have a quadratic equation.

We can rearrange it to standard form and solve for x using the quadratic formula:

x² - 2x - 3 = 0

a = 1, b = -2, c = -3

x = (-b ± √(b² - 4ac)) / 2a

x = (2 ± √(16)) / 2

x = (2 ± 4) / 2

x = -1 or x = 3

Therefore,

The equation f(x) = g(x) is true for some values of x, namely x = -1 and x = 3.

Thus,

Based on this, we can conclude that the statement "There are values of x for which f(x) = g(x)" is true.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ2

I need help with this question

Answers

Answer:

30.75 hours.

hope it helps, so may i have my brainliest?

Step-by-step explanation:

20.5 * 1.5 = 30.75

X
Multiply by taking
Multiply.
20 X 600
Stuck? Review related articles/videos or use a hint.

Answers

20 x 600 = 12000
…………

In the first year of production
a play sells 1572 tickets, in its
second year it sells 1753
tickets, in its third year it sells
152 less than in its second
year. How many tickets are
sold in 3 years?

Please add the working out too

Answers

For the third year they sold 1601 tickets
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