A boy stands 12 metres from the foot of the building and observes the angle of elevation of the top of the building. The height is of the building is approximately

Answers

Answer 1

Answer:

10.07 meters

Step-by-step explanation:

We are given that the angle of elevation is 40° and the boy is 12 meters from the building.

This means that in order to figure out the height of the building, we must use the tangent function which states that [tex]tan(\theta)=\frac{opposite}{adjacent}[/tex].

The opposite side in this case is the height of the building in relation to the angle and the adjacent side is the distance the boy is away from the building.

Therefore, we can find the height of the building by plugging in our known information and solving for the opposite side:

[tex]tan(\theta)=\frac{opposite}{adjacent}[/tex]

[tex]tan(40^\circ)=\frac{x}{12}[/tex]

[tex]12tan(40^\circ)=x[/tex]

[tex]x=12tan(40^\circ)[/tex]

[tex]x\approx10.07[/tex]

Therefore, the height of the building is approximately 10.07 meters.


Related Questions

Anybody help please ! Step by step

Answers

Your answer is -6.

Hope my answer is helpful to you. Stay blessed .

[tex]\\ \large\sf\longmapsto {27}^{x} = {9}^{x - 3} \\ \\ \large\sf\longmapsto ( {3}^{3} ) {}^{x} = ({3}^{2} ) {}^{x - 3} \\ \\ \large\sf\longmapsto 3 {}^{3x} = 3 {}^{2(x - 3)} \\ \\ \large\sf\longmapsto {3}^{3x} = 3 {}^{2x - 6} \\ \\ \large\sf\longmapsto 3x = 2x - 6 \\ \\ \large\sf\longmapsto 3x - 2x = - 6 \\ \\ \large\sf\longmapsto x = - 6[/tex]


Which line is parallel to the line ‘y = 1/2x + 5’ and passes through the
point (-2, 1)?

A. ‘y=x+3
B. ‘y=1/2x+2
C. ‘y=1/2x - 4
D. ‘y=“-”1/2x

Answers

Answer:

B. y=1/2+2

Step-by-step explanation:

since parallel lines always have the same slope, the only two possible answers could be B and C. in order to find if one of those goes through point (-2,1), we have to set up an equation to find the base:

1=1/2(-2)+b

1=-1+b

2=b

We can plug in the base with the slope for the equation and the new equation would be y=1/2x+2

Help please! It’s multiple choice :)

Answers

Answer:

A

Step-by-step explanation:

Answer: A
because ACB>DBC

Please help explanation if possible

Answers

Answer:

y=-11

Step-by-step explanation:

A line can be represented by a linear equation of

[tex]y = mx + b[/tex]

where m is the slope and y is the y intercept.

The slope is 0 so this function will be

[tex]y = b[/tex]

Which is also called a constant function. The y intercept is -11. So the answer is

[tex]y = - 11[/tex]

Problema de Matematicas En una fábrica de papel se han elaborado, 238 942 rollos de papel higiénico, 763 924 rollos de papel toalla y 73 947 rollos de servilletas, del total de rollos se vendieron 875 394 rollos la cantidad de rollos que faltan por vender son.

Answers

Answer:

Se faltan por vender 201,419 rollos.

Step-by-step explanation:

Total de rollos:

238 942 rollos de papel higiénico

763 924 rollos de papel toalla

73 947 rollos de servilletas

Entonces:

[tex]T = 238942+763924+73947 = 1076813[/tex]

Se vendieron 875 394 rollos la cantidad de rollos que faltan por vender son?

Total subtraído por la cuantidad vendida. Entonces:

[tex]V = 1076813 - 875394 = 201419[/tex]

Se faltan por vender 201,419 rollos.

How much is 3p-4p+r less than 4p+3q-5r​

Answers

Answer:

3p−4q+r) is (p + 7q - 6r)(p+7q−6r) less than (4p+3q-5r)(4p+3q−5r) .

Let (3p-4q+r)(3p−4q+r) is 'x' less than (4p+3q-5r)(4p+3q−5r) . Then

3p-4q+r = 4p+3q-5r - x→3p−4q+r=4p+3q−5r−x

x= 4p+3q-5r - (3p-4q+r)→x=4p+3q−5r−(3p−4q+r)

x= 4p+3q-5r - 3p + 4q - r→x=4p+3q−5r−3p+4q−r

x= 4p- 3p +3q +4q - 5r - r→x=4p−3p+3q+4q−5r−r

x= p + 7q - 6r→x=p+7q−6r

Thus (3p-4q+r)(3p−4q+r) is (p + 7q - 6r)(p+7q−6r) less than (4p+3q-5r)(4p+3q−5r) .

Answer:

5p+3q-6r

Step-by-step explanation:

4p+3q-5r -(3p-4p+r) = 4p+3q-5r-3p+4p-r = 5p+3q-6r

if u made a typo and the question is "How much is 3p-4q+r less than 4p+3q-5r", the answer is p+7q-6r​

highest common factor of 9 and 29 ​

Answers

Answer:

1

Step-by-step explanation:

See pic for steps :)

The highest common factor of 9 and 29 is: 1

james cuts 2 of his neighbor's lawn the first is 1000 m long and 100 m wide what is the area

Answers

The formula for area is l(w). This stands for length and width, or long and wide in this problem. I can multiply 1000(100) to get 100,000m. The area of the lawn is 100,000m.

Step-by-step explanation:

The formula for area is l x b. This stands for length and breadth. I can multiply 1000(100) to get 100,000m. The area of the lawn is 100,000 m.

HOPE IT HELPS YOU

MARK ME BRAINLIEST

Someone plz help me 20 points

Answers

Answer:

16

Step-by-step explanation:

Sub in the number of customers (12) into the equation for the line of best fit, and solve.

y = 5/4 (12) + 1

y = 15 + 1

y = 16

There will be 16 positive YELP reviews

HELP ME PLS ITS URGENT

Answers

Answer: -3 (option D) is the answer.

(-8)-(-5)= -8+5 = -3

Answer:
-3
Explanation:
= (-8)-(-5)
= -8+5 (- and - is equal to +)
= -3
So the correct answer is D)-3
YOUR WELCOME☺️⭐️

Pears cost 38p how much for 15 pears?

Answers

Answer:

if pears cost 38p

then 15=15×38

=570p

the cost of an article is Rs 10,000 and it is sold at same profit. if a customer bought it for Rs 12430 with 13% VAT calculate the profit percent on the article.​

Answers

Answer:

Percentage profit = 11.3%

Step-by-step explanation:

Given the following data;

Vat = 13% = 13/100 = 0.13Cost price = 10,000Selling price = Rs 12430

To calculate the profit percentage on the article;

First of all, we would determine the value-added (vat) tax levy;

Vat levy = 0.13 * 10000

Vat levy = Rs. 1300

Profit = selling price - cost price

Profit = 12430 - 10000

Profit = 2430

Profit after vat;

Profit after vat = Profit - Vat levy

Profit after vat = 2430 - 1300

Profit after vat = 1130

Next, we would calculate the profit percentage on the article;

[tex] Percentage \; profit = \frac {Profit \; after \; vat}{Cost \; price} * 100 [/tex]

Substituting the values into the formula, we have;

[tex] Percentage \; profit = \frac {1130}{10000} * 100 [/tex]

[tex] Percentage \; profit = \frac {113000}{10000} [/tex]

Percentage profit = 11.3%

Cual es la respuesta 5%9(12-32)

Answers

Answer:

i need more detail

Step-by-step explanation:

solve for x with step by step explanation
0.85x - 100 < 80

;-; i don't understand how to solve this help

Answers

0.85x-100<80

collect like terms

0.85x<80+100

0.85x<180

divide by 0.85

x<211.8

Given Isosceles Trapezoid TRAP, if mP=98, find mT

Answers

Answer:

∠ T = 82°

Step-by-step explanation:

In a Isosceles trapezoid, any lower base angle is supplementary to any upper base angle , so

∠ T + ∠ P = 180°

∠ T + 98° = 180° ( subtract 98° from both sides )

∠ T = 82°

Six pairs of shoes cost as much as 1 coat, 2 pairs of jeans cost as much as 3 pairs of shoes, and 4 pairs of socks cost as much as one pair of jeans. How many coats could I exchange for 64 pairs of socks?

Answers

Answer:

4 coats

Step-by-step explanation:

Let the cost of a pair of shoe be x.

Thus, 6 pairs would cost; 6x

Thus,1 coat will cost 6x.

2 pairs of jeans cost as much as 3 pairs of shoes.

Thus, 2 pairs of jeans will cost 3x.

4 pairs of socks cost as much as one pair of jeans.

If 2 pairs of jeans cost 3x

Then 1 pair will cost 3x/2 = 1.5x

Thus, 4 pairs of socks will cost 1.5x.

Thus, 1 pair of socks will cost 1.5x/4

Then, 64 pairs of socks will cost;

64 × 1.5x/4 = 24x

Earlier, we saw that 1 coat costs 6x.

Thus means that;

Number of coats to exchange for 64 pairs of socks = 24x/6x = 4 coats

Vail skied 2 km north, 2 km west, 1 km north, and 2 km west. How far was she from her starting point?

Answers

Answer:

5.0645km

Step-by-step explanation:

For the first part of the journey where Vail skied 2 km north, 2 km west

displacement = √2² + (-2)²

displacement = √4+4

displacement = √8

displacement = 2√2 km

d1 = 2√2 km

For the second part of the journey where he skeid 1 km north, and 2 km west. How far was she from her starting point?

displacement = √1² + (-2)²

displacement = √1+4

displacement = √5

d2 = √5 km

Total displacement = d1 + d2

Total displacement = 2√2 + √5

Total displacement = 2(1.4142) + 2.2361

Total displacement = 2.8284+ 2.2361

Total displacement = 5.0645km

Hence she was 5.0645km from her starting point

Solve for a. a+|-23+6|=-32
Plz help

Answers

Answer:

a = -49

Step-by-step explanation:

a+|-23+6|=-32

Simplify the absolute value term

a+|-17|=-32

a+17=-32

Subtract 17 from each side

a +17-17 = -32-17

a = -49

Answer:

a = −49

Step-by-step explanation:

a + ∣ − 17∣ = −32

a + 17 = −32

a = −32 − 17

Simplify.

-32 - 17 to -49.

If onee moderator was typing why this website is bad every 20 minutes and the other was trying to update this site every 30 minutes by what time will the one updating the site find out about the insults

Answers

Answer: 60 minutes or 1 hour.

Step-by-step explanation:

Since one moderator was typing every 20 minutes while the other moderator was typing every 30 minutes, then the time the other one will find about the insult simply means that we should find the lowest common multiple of 20 and 30. This will be:

20 = 20, 40, 60, 80, 100, ..

30 = 30, 60, 90, 120 .....

Here, we can see that the lowest common multiple is 60. Therefore, the other one will find about the insults in 60 minutes.

PLEASE HELP!!! I dont understand

Answers

Answer:

x^4+x^2+5

Step-by-step explanation:

f(x) = x^2 -3x+7

g(x) = x^2+2

f(g(x) =  Place g(x) in for x in the function f(x)

       = (x^2+2)^2 -3(x^2+2) +7

FOIL and Distribute

       = x^4 +2x^2+2x^2 +4 - 3x^2 -6 +7

Combine like terms

    = x^4+x^2+5

5a + 18 < −27 pre algibra

Answers

Answer:

X < -9

Step-by-step explanation:

5a +18 < -27

5a < -27 -18

5a < - 45

5a/5 < - 45/5

a < - 9

Answred by Gauthmath

Answer: -9

Step-by-step explanation:

5a+18 < -27

5a< -27-18

5a<-45

a< -45/5

a< -9

help please ASAP!!! Got a lot of math to do here comes an all nighter :(

Answers

Answer:

110

Step-by-step explanation:

2 ( wl+hl+hw ) = 2 (7·1+6·1+6·7 ) = 110

Here Enjoy :)

Identify the vertex of this absolute value function: f(x) = -2|x + 1| + 2. Type the correct answer in each box. Use numerals instead of words.

Answers

Answer:

Step-by-step explanation:

x+1=0

then f(x)=2

x=-1

vertex is (-1,2)

Answer:

-1,2

Step-by-step explanation:

Plato

A piece of fabric 20m long sew 4/5 of that cloth, the rest of the fabric is sewn for each bag 2/3m, how many bags can be sewn in all?

Answers

Answer: 16 bags

Step-by-step explanation:

(20) (4/5) = 16

(16) (3) / 2 = 24

what number is smallest 2,-3,-10,-5,-2-1

Answers

Answer:

2,-3,-10,-5,-2-1

The smallest number is -10

Answer:

it's -10

Step-by-step explanation:

Well, if you look at the number line, numbers start from the left going to the right and the ones before the 0 ( the negative ones) are the smaller ones. And here if you arrange them from the smallest, -10 is the smallest and 2 is the biggest.

hope this helps

What is the value of x in the equation -5/4x=-160

Answers

[tex] \\ \sf \longmapsto \: - \frac{ 5}{4} x = - 160 \\ \\ \sf \longmapsto \: \frac{5}{4} x = 160 \\ \\ \sf \longmapsto \: x = 160 \times \frac{4}{5} \\ \\ \sf \longmapsto \: x = 32 \times 4 \\ \\ \sf \longmapsto \: x = 128[/tex]

Step-by-step explanation:

-5/4x=-160

5/4x=160

x=160×4/5

x=640/5

x=128

the difference of 8 and 3 is multiplied by one quarter of the sum of 7 and 5​

Answers

Answer:

15

Step-by-step explanation:

the difference of 8 and 3 : 8-3 = 5

sum of 7 and 5 : 7+5 = 12

a quarter of that sum : 12/4 = 3

the difference from before is now multiplied by that quarter : 5 × 3 = 15

I know, you are a beginner, but you don't know basic arithmetic calculation of +, -, × , / ? really ?

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The solution of the difference of 8 and 3 is multiplied by one-quarter of the sum of 7 and 5 is 15.

What is multiplication?

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

The statement can be solved as shown below,

1.   The difference between 8 and 3,

     8 - 3 = 5

2.   The difference between 8 and 3 is multiplied by one-quarter of the    sum of 7 and 5,

    ​[tex](8-3) \times \dfrac{(7+5)}{4}\\\\= 5 \times \dfrac{12}{4}\\\\= 15[/tex]

Hence, the solution of the difference of 8 and 3 is multiplied by one-quarter of the sum of 7 and 5 is 15.

Learn more about Multiplication:

https://brainly.com/question/14059007

#SPJ2

Please help explanation if possible

Answers

Answer: y = -1x + 1

Step-by-step explanation:

(choose two points on the line to find the slope)

(0,1) and (2,-1)

(slope = m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{-1-1}{2-0}=\frac{-2}{2} =-1[/tex]

y = mx + b, (0,1), (2,-1), m=-1

(both points work and yield the same equation)

[tex]y=mx+b\\1=-1(0)+b\\b=1\\y=-1x+1[/tex]

The sides of an equilateral triangle measure 0.2(10x+90)cm each. If the perimeter of the triangle is 612.6 cm, what is the side length?


Write the equation to solve the problem.


Solve for x


Find the side of the triangle

Answers

Answer:

204.2 cm

Step-by-step explanation:

equilateral means all sides are of equal length.

the perimeter of such a triangle is simply 3 times one of these sides.

so,

612.6 = 3×0.2×(10x + 90) = 0.6×(10x+90) = 6x + 54

6x = 558.6

x = 93.1

so, a single side is

0.2×(10×93.1 +90) = 0.2×(931 + 90) = 0.2×1021 = 204.2 cm

to check

3×204.2 = 612.6 = the original perimeter.

so, correct.

Find the length of PR from the given figure ( step by step ). ​

Answers

Answer:

PR = 39 cm

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

PR² + PQ² = QR² , that is

PR² + 80² = 89²

PR² + 6400 = 7921 ( subtract 6400 from both sides )

PR² = 1521 ( take the square root of both sides )

PR = [tex]\sqrt{1521}[/tex] = 39

Answer:

[tex]PR=39[/tex]

Step-by-step explanation:

The triangle (PQR) is a right triangle. This means the triangle has a (90) degree angle, such is indicated by the box around one of the angles in the triangle. One of the properties of the sides of a right triangle is the Pythagorean theorem. The Pythagorean theorem states the following:

[tex]a^2+b^2=c^2[/tex]

Where (a) and (b) are the legs of the right triangle, or the sides adjacent to the right angle. (c) is the side opposite the right angle of the triangle triangle, in other words, the hypotenuse. Substitute the respective legs into the formula for the Pythagorean theorem and solve for the unknown,

[tex]a^2+b^2=c^2[/tex]

Substitute,

[tex]a^2+b^2=c^2[/tex]

[tex]PQ^2+PR^2=QR^2[/tex]

[tex]80^2+PR^2=89^2\\[/tex]

Simplify,

[tex]80^2+PR^2=89^2\\[/tex]

[tex]6400+PR^2=7921[/tex]

Inverse operations,

[tex]6400+PR^2=7921[/tex]

[tex]PR^2=1521\\\\PR=39[/tex]

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