A 10-foot ladder touches the side of a building at a point 8 feet above the ground. At what height would a 22-foot ladder touch the building if it makes the same angle with the ground as the shorter ladder? Round to the nearest tenth if necessary.

Answers

Answer 1
Answer:

8.75 feet

Step by step:

Given that a 12 foot ladder leans against a building seven feet above the ground.

By using trigonometry ratio, the angle between the ladder and the ground will be

SinØ = opposite/ hypothenus

SinØ = 7 / 12

SinØ = 0.58333

Ø = Sin^-1(0.58333)

Ø = 35.69 degree

At what height would an 15 foot ladder touch the building if both ladders form the same angle with the ground?

Using the same trigonometric ratios

SinØ = opposite/hypothenus

Sin 35.69 = opposite/ 15

Cross multiply

Opposite = 15 × sin 35.69

Opposite = 8.75 feet

Therefore, the ladder will touch the building if both ladders form the same angle with the ground at height 8.75 feet.


Related Questions

A countertop is 11 feet long and 4 fee t wide.

What is the area of the countertop in square meters? Use the conversion 1 foot = 0.305 meter. Round your
final answer to 2 decimal place

Answers

Answer:

4.09m^2

Step-by-step explanation:

A countertop is 11 feet long and 4 fee t wide.

Using the conversion

1foot = 0.305 meter

11fet = 11(0.305)

11feet = 3.355 m

4 feet= 4 * 0.305

4feet = 1.22m

Area of the countertop = Length * Width

Area of the countertop = 3.355 * 1.22

Area of the countertop = 4.0931m^2

Hence the required area is 4.09m^2 to 2 decimal places


Solve the following equations and check your answer.
6x+2=9x+14​

Answers

6x + 2 = 9x + 14

2 - 14 = 9x - 6x

3x = -12

x = -12/3

x = -4

Help please!!!!!!!!!!!!!

Answers

Answer:

B

Step-by-step explanation:

.99n + 19.99

2 songs

.99(2) + 19.99

1.98 + 19.99 = 21.97

please help with my math look at picture

Answers

2 bags of chips cost $3.70.

Step by Step Explanation:

You must divide 5.55 by 3, and that’s where you find the cost of one, which is $1.85. Multiply 1.85 by 2 to find your answer.

Answer:

i think b

Step-by-step explanation:

3 bags = 5.55, divide that and youll get 1.85 then take 1.85 times 2 for two bags of chips and you will end up with B - 3.70

Pleaseee I needddd helppp

Answers

Answer:

car b has a steeper slope tho... so it's car b

Jenny wants to buy a pair of pants that cost $35. The pants are on sale for
25% off.
What is the total cost of the discounted pants?

Answers

Answer:

35 / 4 = 8.75

35 - 8.75 = 26.25

I hope you a great life. Till we meet again, Farewell!

PLEASE HELPP
Solve d.
d ÷ 5/6 = 3/4
Write your answer as a fraction or as a whole or mixed number.

d =

Answers

Answer:

d = 9/10

Step-by-step explanation:

Hi,

d divided by 5/6 = 3/4

You can't divide fractions, instead, you flip the fraction and multiply. So, in this case, you would flip 5/6 to get 6/5 and multiply it by 3/4 to get d.

d ÷ 5/6 = 3/4

Multiply both sides by 6/5 (remember to flip)

d = 3/4 x 6/5

(when multiplying fractions, you can multiply straight across)

d = 18/20

(simplify - both numbers can be divided by 2)

d = 9/10

Hope this helps :)

Answer:

d = 5/8

Step-by-step explanation:

Mulitply by the reciprocal

= d x 6/5 = 3/4

Reorder the terms

=6/5d = 3/4

Multiply both sides

Solution

d = 5/8

Alternate form

d = 0.625

PLZ HELPPPPP ILL GIVE BRAINLIEST

Answers

Answer:

B, y=2x

Step-by-step explanation:

Because the x is doubling Every time you go up the line

I think it’s b sorry if I’m wrong

Please help me I will give brainliest

Answers

Answer: -5, 1

Step-by-step explanation:

y=5x+2
4x−y=0


Is (2,12) a solution of the system?

Answers

Answer:

no the solution would be (-2, -8)

Step-by-step explanation:

i graphed both of the equations and found the solution <33

Answer:

(-2,-8) is correct

Step-by-step explanation:

4x = y

5x +2 = y

4x = 5x +2

-2 = x

y = 5×-2 + 2

=-8

( x , y )

Please help! Will give brainlist

Answers

Answer:

-1/7

Step-by-step explanation:

11x-1 = 1+25x

x= -1/7

The "middle" term of a trinomial form of (3x+1)(x-4) is:

Answers

Answer:

Expand the following expression

(3x+1)(x-4) = 3x^2-12x+x-4

middle term = -11x

The velocity in ft/sec of a particle is given by v(t) = −14t + 2. Find the position function s(t), of the particle if it has an initial position s(0) = 4 feet.

A. 7t2 + 2t − 4
B. −7t2 + 2t + 4
C. −7t2 + 2t − 4
D. −14t2 + 2t + 4

Answers

I think the answer is c ‍

HELP PLEASE- in picture

Answers

(rs)(4) = 2√4×√4

= 2×4

= 8. Ans.

([tex]\frac{r}{s}[/tex])(3) = [tex]\frac{2√3}{√3}[/tex]

=> ([tex]\frac{r}{s}[/tex])(3) = 2 Ans.

[tex]\\\\\\\\[/tex]

HOPE IT HELPS

PLEASE MARK ME BRAINLIEST ☺️

x^2 + 6x + 5 = 0
Find A, B, and C

Answers

Answer:

A=1

B=6

C=5

Step-by-step explanation:

0=ax²+bx+c

0= 1x²+6x+5

There is no number in front of x², so you know the coefficient is 1.

The coefficient in front of the x is 6.

The remaining number is 5.

The number of students at a high school was decreased by 30% to 420 after the senior students graduated how many students were at the high school before the decrease

Answers

Answer:

Step-by-step explanation:

s(1-30/100)=420

s(100-30)/100=420

s(70/100)=420

s(7/10)=420

7s=4200

s=600

PlSS HELPP 25 POINTS ANS BRAINLIEST

Answers

Answer:

391.5 in²

Step-by-step explanation:

SA = 2(9)(10) + 9(10) + 13.5(9)

SA = 180 + 90 + 121.5

SA = 391.5

391.5 inches square no problem

ok who ever answers right gets branly and it has to be right there is an image to see

Answers

Answer:

B

Step-by-step explanation:

Hope i help Brainlest is apprciated

Answer:

b

Step-by-step explanation:

What is the exponential regression equation that fits these data?

Answers

what you need to do is plug in the X-imput into the exponential slot that has the tiny X.

your answer is "C"

thanks! :)

Answer:

D.

Step-by-step explanation:

7x - 4y = -5 ordered pair

Answers

Answer:

Step-by-step explanation:

You may invent a value for x, substitute that value into the given equation and thereby calculate y:

If 7x - 4y = -5 and x = 0, then -4y = -5 and y = 5/4.  The corresponding ordered pair is (0, 5/4).  Other x values may be chosen at random and the same operations performed so as to find other possible ordered pairs corresponding to 7x -4y = 5.

Show all your work! Thank you!

Answers

Answer: B

Step-by-step explanation:

x = van

y = bus

12x + 9y = 456

1x + 2y = 83

(Simplify equations)

9y = -12x + 456

y = -1.3x + 456/9

2y = -x + 83

y = -1/2x + 41.5

(Find x)

-1.3x + (456/9) = -.5x + 41.5

0.8x = 9.16

(Round)

x = 11

(Find y by plugging x in)

y = -1/2(11) + 41.5

y = -5.5 + 41.5

y = 36

(Check)

12(11) + 9(36) = 456

132 + 324 = 456

1(11) + 2(36) = 83

11 + 72 = 83

HELPPPP ASAPPPP BECAUSE IM STUCK ON THIS QUESTIONNNNNN

Answers

I believe the answer is A 3^7

Answer:

A 3^7

Step-by-step explanation:

I already helped you with this :P

Can i have brainliest again?!

please help with Fractions

Answers

Answer:

1/9 and 1/10 are smaller than 1/8 but the smallest is 1/10


If you are offered an investment that pays 3.5% simple interest, and you plan to invest for 4 years, about how much do you have
invest to end up earning at least $500?
AY
$1755
B)
$2496
$3572
D)
$4328

Answers

Answer:

$3572

Step-by-step explanation:

Answer:

C.) 3572

Step-by-step explanation:

I Just took the test

Simplify the following in simplest radical form of sqrt{40}

Answers

2 square root 10.

4 is a perfect square that enters 40. 4*10 is 40. So square root of 4 is 2. So it would be 2 square root 10 since there isn’t a perfect square that goes int 10
2 square root ten, you can use calculators online for this too!

solve:6g=2
11 5
those are fractions btw
what is g?​

Answers

G is apart of the equation

a model house has a scale of 1 cm to 3 meters.If the model house 5cm,then how is tall is the house.

Answers

Answer:

15m

Step-by-step explanation:

1cm=3m

5cm is equal to 15m

Answer right and get branly this took me 3 times to doo

Answers

1. 50 degree angle I believe

2. 150 degree angle

3. 45 degree angle

Sorry if this doesn't help but, with no context about the answers they have given you I can't fully help. Try using a protractor like this down below.

Have a good day!

What is the value of s^2t for s = 7 and t = 20? as a whole number

Answers

Answer:

7^40 is umm I don't know sorry

Step-by-step explanation:

But hopefully it's helpful.

Answer:

steps below

Step-by-step explanation:

if your problem is s²ⁿ = s²*²⁰ = s⁴⁰     (n replace your t)

s²ⁿ = 7⁴⁰ = 6366805760909027985741435139224001

if the problem is s² x 20 = 7² x 20 = 980

Steve rides his bike to and from work 5 days a week, 14 miles each way. Which of the following equations can be used to calculate the number of miles Steve commutes for work on his bike in x weeks?
A.
y = 140x
B.
y = 70x
C.
y = 196x
D.
y = 14x

Answers

Answer: The Answer Would Be D

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