Need help with this trigonometry word problem
The angle of elevation of the top of the building at a distance of 50 m from its foot on a horizontal plane is found to be 60°. Find the height of the building.
Please show your work

Answers

Answer 1

Answer:

[tex] \huge \boxed{ \boxed{ 50 \sqrt{3} \: or \: 86.6}}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:trigonometryPEMDASlet's solve:

to find the height we need to use tan function because we are given adjacent and angle and we need to figure out opposite (height) [tex]\tan(\theta)=\dfrac{opposite}{adjacent}[/tex]

let opposite be AC

let adjacent be BC

according to the question:

[tex] \quad \: \tan( {60}^{ \circ} ) = \dfrac{AC}{BC} [/tex]

now we need a little bit algebra to figure out AC (height)

[tex] \sf \: substitute \: the \: given\: value \: of \: BC : \\ \tan( {60}^{ \circ} ) = \frac{AC}{50} [/tex][tex] \sf sustitute \: the \: value \: of \: \tan( {60}^{ \circ} ) \: i.e \: \sqrt{3} : \\ \sqrt{3 } = \frac{AC }{50} [/tex][tex] \sf cross \: multiplication: \\ 50 \sqrt{3} = AC[/tex][tex] \sf swap \: sides \: (your \: wil) : \\ AC = 50 \sqrt{3} \\AC = 86.6 \: ( \sf \: decimal \: if\: needed)[/tex]

[tex]\text{we are done!}[/tex]

Need Help With This Trigonometry Word Problem The Angle Of Elevation Of The Top Of The Building At A

Related Questions

Look at the question below.

Answers

D because they all have x to makes like terms

Jim gives the cashier a $20 bill at the pharmacy.


Write an equation that relates the change c he gets back in dollars to the cost b, in dollars, of his purchases. Which variable represents the independent variable? How much change does he get back if his purchases total $12.83?

Answers

Answer:

b= 12.83

c= 7.17

Variable "c" is independent because it does not change. Jim receives $7.17 back.

SIMPLE > Simplify. 4√27 + 6√75 Enter your answer, in simplest radical form...

Answers

Answer:

42√3

Step-by-step explanation:

4√27 = 4√(9)(3) = 12√3

6√75 = 6√(25)(3) = 30√3

12√3 + 30√3 = 42√3

guys pls help me with this

Answers

Answer:

3.since two base side are equal

4.sum of interior angle of the triangle is 180

9.base angle of isosceles triangle

16.the inscribed angle from the diameter is 90°

21.being CAE=90°

a number is multiplied by 4 and then 12 is added. the result is 36. what is the number?

Answers

Answer:

6

Step-by-step explanation:

4 * x + 12= 36

          -12  -12

4x = 24

x= 6

Answer: 6

Step-by-step explanation:

The equation will look like this

n(4)+12=36

n=6

6(4)+12

24+12

36


A boat is traveling at 43.2 m/s. It then goes down a faster part of the river and is now going 144
m/s which gave the boat an acceleration of 25.2 m/s2. How long did it take the boat to reach its
new speed?

Answers

Answer:

Step-by-step explanation:

boat was at 43.2 m/s   speed increase to 144 m/s

if the boat was moving 0 m/s and increased to 144 m/s - 43.2 m/s accelerating at 25.2 m/s²,  it would take the same amount of time

25.2 m/s² × x seconds = (144 - 43.2) m/s      solve for x in seconds

x seconds = 100.8 m/s   /  25.2 m/s²

x seconds = 4 (m/s /ms²)  = 4 (m/s × s²/m)  = 4 seconds   the  units match

x = 4 seconds

Use four unit multipliers to convert 170 square yards to square inches The perimeter of a square is 64 inches ​

Answers

Did you know u can use a tutor on this app it’s very helpful :)

This table gives the value of an investment for the first 5 years after the initial investment was made. The data can be modeled using an exponential function.

Years 1 2 3 4 5
Investment value $1,050 $1,103 $1,160 $1,215 $1,280
Based on the data, which amount is closest to the value of the investment 10 years after the initial investment?


$1,350

$1,475

$1,625

$1,800

Answers

Answer:

C.) $1,625

Step-by-step explanation:

Going by the numbers on the graph, you can immediately tell $1,350 and $1,475 are way too low, so cancel those out and you get $1,625 and $1,800

From here, you can see that in 5 years it hasn't gone up by far, so it won't be 1,800$ by 10 years end, making the answer clear

You can just double 280 and get 560, which the closest answer is 1,625

It's really just a high-low estimate question, 2 answers are too high or low, one is close but not really, and one is just right- or inbetween

$1,625

The amount $1625 is closest to the value of the investment 10 years after the initial investment option third is correct.

What is an exponential function?

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent [tex]\rm y = a^x[/tex]

where a is a constant and a>1

Let's suppose the exponential function that model the problem is:

 [tex]\rm y = ae^k^x[/tex]

Plug x = 1 and y = 1050

[tex]\rm 1050 = ae^k[/tex] ...(1)

Plug x = 2 and y = 1103

[tex]\rm 1103 = ae^2^k[/tex]  ...(2)

Divide equation (2) with (1)

[tex]\rm e^k = 1.0504[/tex]

Taking ln to get the value of k

k = 0.0491

a = 999.69

The exponential function:

[tex]\rm y = (999.6902)e^{0.0491}^x[/tex]

Plug x = 10 years in the above function:

y = $1633.44

Which is close to $1625

Thus, the amount $1625 is closest to the value of the investment 10 years after the initial investment option third is correct.

Learn more about the exponential function here:

brainly.com/question/11487261

#SPJ2

if f(x)=81, what is x?

Answers

Answer:

There's not enough information...

Answer: x=0 because there is no solution that's what I got

Step-by-step explanation:

What is the area?



-QUICKKKKKK

Answers

Answer:

34 sq cm

Step-by-step explanation:

4x4 = 16

9x2 = 18

16+18= 34

What is the perimeter of a square whose area is 289 square feet?
A. 17 feet
B. 48 feet
C. 68 feet
D. 73 feet

Answers

Answer:72.25

Step-by-step explanation:


What is the approximate area of the shaded sector?
A. 38 cm2
B. 96 cm2
C. 302 cm
D. 603 cm?

Answers

Answer:

C. [tex] 302 \: {cm}^{2} [/tex]

Step-by-step explanation:

[tex]Area \: of \: sector = \frac{ \theta}{360 \degree} \times \pi {r}^{2} \\ \\ = \frac{135 \degree}{360 \degree} \times \pi {r}^{2} \\ \\ = \frac{135 }{360 } \times 3.14 \times {(16)}^{2} \\ \\ = \frac{108,518.4 }{360 } \\ \\ = 301.44 \\ \\Area \: of \: sector \approx \: 302 \: {cm}^{2} [/tex]

Andrew bought 24 carpet tiles and 3 tins of paint.
The total cost was £100.20. Each tin of paint cost £13.16.
Find the cost of one carpet tile.

Answers

Answer:

Cost of one carpet tile = (Total cost-3*tin of paint cost)/24

                                      =(100.20-3*13.16)/24=2.53

Hope this helps <3

Answer: £2.53

13.16 x 3 = 39.48

100.20 / 39.48 = 2.53

A sphere has a radius 2.7 centimeters, What is its volume to the nearest cubic centimeter

Answers

Answer:

82.447957600811

Step-by-step explanation:

What is the value of k? show your work.
5/4(2-k) =2 (3k-1) - 2/3k

Answers

Answer:

hey how do u know if they're tracking u?

Step-by-step explanation:

Which point shows 1/8

Answers

i don't see a photo

Answer:

where the photo

Step-by-step explanation:

Three friends went to lunch and ordered the special. They had a coupon of $10 off the bill and they spent $35 in all. Write an equation to represent this situation.

Answers

Answer:

35-10/3

Step-by-step explanation:

Algebra help!




If you can also explain that would be appreciated!! If not that's totally okay I just really need the help!!​

Answers

Answer:

We have the value as;

8x/5

Step-by-step explanation:

Here, we want to get the breakdown of the given expression

We have (x^2 - 9) as (x-3)(x + 3)

So we have;

2x/(x + 3) * (x-3)(x+3)/5 * 4/(x-3)

= 2x * 4/5= 8x/5

rewrite the question in slope-intercept form:
2x-4y-12= -13-2x

Answers

Answer:

y= x + 1/4

Step-by-step explanation:

did the math and that should be your answer

In your math notebook: Give an approximation of the width of the river, support your answer with reasoning from the measurements given. Set up an equation and solve for the width of the Klamath River. Enter the width of the river.

TwT plz help​

Answers

Answer:

um i cant read it and why do you use cringet emojis like TwT

Step-by-step explanation:

Answer:

ehbsbshshwhajwj

Step-by-step explanation:

whhwbwbsbsbbsh

PLEASE HELP!!!!
If u give me the answer I will post another question for u worth ALOT of points just so rn I don't get scammed :(


How would you write the rules for solving fraction expressions?



A)- Addition



B)- Subtraction



C)- Multiplication



D)- Division

Answers

Answer:

multiplication

Step-by-step explanation:

Hopes this helps:

Answer: multiplication

We can multiply two fractions with different denominators, but we cannot add and subtract them.

The bill for dinner totaled $56 before tax and tip. The restaurant added a 6 percent sales tax. If Sandra wants to include a 16 percent tip calculated on the bill before sales tax is added, what is the total cost of the dinner?
$59.36
$64.96
$68.32
$68.86

Answers

68.86 Take the bull total 56 multiply .06 and you get 59.36. Multiply 59.36 x .16 and you get 68.86

In The Figure Below, M/A=41 And M/B= (2x+3)

Answers

Answer:

Step-by-step explanation:

Which equation represents the line that passes through the point (-3, 2) and has a slope of 2?
O y = 2x + 1
O
y = 2x - 4
O y = 2x - 7
y = 2x + 8

Answers

Answer:

y = 2x + 8

Step-by-step explanation:

To find the line, use the equation y = mx + b.

Plug in the slope and given point, then solve for b:

y = mx + b

2 = 2(-3) + b

2 = -6 + b

8 = b

Plug in the slope and b into the equation:

y = 2x + 8

So, the equation of the line is y = 2x + 8

Answer:

m

Step-by-step explanation:

The letters in the word JANUARY were put in a bag and drawn randomly. What is the probability of picking an a?

Answers

Answer: 2/7

Step-by-step explanation:

There are 7 letters in January, and 2 "a"s in order to find the probability, simply take 2/7. You can either leave it in the fraction form, or use the calculator, showing you have a 0.2857% chance of picking an "a"

2/7

there are 7 letters in jAnuAry and as you can see there are 2 A's so there is a 2/7 chance which is higher of a chance than the rest of the letters which are 1/7 each so it is most likely you would draw A although I can't fully say that because there is a 5/7 chance of drawing the other letters. Another way to say it is there is a 0.28571428571% chance of drawing A but there is a 0.71428571428% chance of drawing any other letter.

                Hope this helps :3

                              Have a good day!

Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!! HELP !!!!!!!

Answers

Y= 2x + 3

You can tell because the slope is the same :)

Two opposite numbers are 4 units away from each other. What are the numbers?

Answers

Answer: 2 & -2

Step-by-step explanation: it takes 2 units to get to 0 and then 2 more to get to -2  

Find the equivalent of 2x^2 + (4x -6x^2) + 9 - (6x + 3)


A. -4x^2 - 2x +12
B.-4x^2 -2x + 6
C.-10x +6
D. 18x +12​

Answers

Answer:

B.-4x^2-2x+6.

Step-by-step explanation:

=2x^2+4x-6x^2+9-6x-3.

=2x^2-6x^2+4x-6x+9-3.

=-4x^2-2x+6.

If x = 3 units, y = 6 units, and h = 5 units, find the area of the parallelogram shown above using decomposition.

Answers

Answer:

12 square units

Step-by-step explanation:

Hope it helps

Angle PQRPQR and angle TQVTQV are vertical angles. The measures of the two angles have a sum of 100^{\circ}100

. Write and solve an equation to find x,x, the measure of angle TQVTQV.



​Enter your equation and your solution in the space provided. Enter only your equation and solution.

Answers

10005ssduduc Vicdhdjdjd

Answer:

same question

Step-by-step explanation:

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