A ladder leans against the side of a house. The angle of elevation of the ladder is 62 degrees and the top of the ladder is 14 ft above the ground. Find the distance from the bottom of the ladder to the side of the house. Round your answer to the nearest tenth.

Answers

Answer 1

Answer:

7.4 feets

Step-by-step explanation:

Distance from bottom of ladder to side of the house = d

θ = 62 ; height, h = 14

Using trigonometry :

Tan θ = opposite / Adjacent

Opposite = height ; adjacent = d

Tan 62° = 14 / d

1.8807264 * h = 14

d = 14 / 1.8807264

d = 7.44


Related Questions

Here is a number line.
-3
-2 -1
0
3
(a) On this number line, show the inequality -2 = x < 3
(b) Solve 5 + 3 > 27

Answers

Answer:

no no nooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo

ooooooooooooooooooooo

ooooooooooooooooo

ooooooooooooooo

ooooooooooooo

ooooooooooooo

oooooooo

ooooo

ooo

oo

o

Step-by-step explanation:

Answer:  a) see the graph below

               b) n > 24/5  or 4.8

Step-by-step explanation:

a) see the graph below.

-2 is smaller and equal to x, so the point is close circle; and 3 is only greater than x, so it only has open circle, and the line was between the range from -2 to 3.

b) 5n + 3 >27

           5n > 24   [Subtradt 3 from both side]

             n > 24/5   or 4.8

Fractions equivalent to 6/12 choose all correct 1)1/2 2)2/4 3)3/9 4)1/6 5)4/10

Answers

Answer:

1 and 2

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

6/12 =1/2

I hope this helps

Please help with these 3 questions about simplifying square roots...

Answers

Answer:

#2:

To get rid of a radical we multiply the radical by itself, so we multiply [tex]\frac{3}{\sqrt{2}} by \frac{\sqrt{2}}{\sqrt{2}}[/tex]

to get [tex]\frac{3\sqrt{2}}{2}[/tex].

#3:

[tex]\sqrt\frac{2}{5}[/tex] is the same as [tex]\frac{\sqrt{2}}{\sqrt{5}}[/tex] so we multiply by [tex]\frac{\sqrt{5}}{\sqrt{5}}[/tex] so we get [tex]\frac{\sqrt{10}}{5}[/tex].

#4:

We combine like terms to get  [tex]-2\sqrt{2} + 4\sqrt{3}[/tex]

Hope this helps!

find the value of x



Answers

Answer:

4√5

Step-by-step explanation:

Use Pythagorean theorem

a^2=21^2-19^2

a^2=441-19^2

a^2=441-361

a^2=80

a= √80

simplify

HELP
-7 = 1/3(x - 12)

Answers

Answer:

-9

Step-by-step explanation:

Answer:

x = -9

Step-by-step explanation:

1/3 (x) 1/3 (-12)

-7 = 1/3x - (-4)

+ 4           +4

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

-3 = 1/3x

---    ------

1/3    1/3

x = -9

PLZ HELP!!!!!!!!!!!!!

Answers

Answer:

Move the decimal point 3 times to the left.

Step-by-step explanation:

determine the measure of each angle. 4x - 90= ? Degree

Answers

The Answer is -360 or 22

Answer:

4x - 90= 90

Explain:

Simplifying

(4x + -90) = 90

Reorder the terms:

(-90 + 4x) = 90

Remove parenthesis around (-90 + 4x)

-90 + 4x = 90

Solving

-90 + 4x = 90

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '90' to each side of the equation.

-90 + 90 + 4x = 90 + 90

Combine like terms: -90 + 90 = 0

0 + 4x = 90 + 90

4x = 90 + 90

Combine like terms: 90 + 90 = 180

4x = 180

Divide each side by '4'.

x = 45

Simplifying

x = 45

i need the find the area of a rectangle. the length is 6.5x + 5ft and the width is 15 ft

Answers

Answer:

Area= l+b) ×2

6.5x+5ft +5ft

13x+20ft

Anna went to the store to buy a new dress. The dress she chose was 30% off the original price. What was the original price of the dress that was marked down dollars 13.95?

Answers

Answer:

$46.5

Step-by-step explanation:

Let X be the original price.

0.3X=13.95, X=13.95/0.3, X=46.5.

Answer:

18.135

Step-by-step explanation:

13.95×30/100=4.185

13.95+4.185=18.135

The hypotenuse of a right triangle is 18 inches long. The leg is 7 inches long.
What is the measure of the third side? Round your answer to the nearest
tenth if necessary.
19.3 in
16.6 in
14.2 in
11 in

Answers

Answer:

16.6 in

Step-by-step explanation:

182^2﹣72^2≈ 16.58312 round it and you get 16.6 in

Help me? pls...... :)

Answers

Answer: its c

Step-by-step explanation: if not then im sorry for the wrong answer

Answer:

7 units

Step-by-step explanation:

WHAT IS THE SURFACE AREA HELP

Answers

Answer:

SA = 348 cm squared

Subject:Mathematics ​

Answers

4 boys had a pulse of 83

Answer: 4

Step-by-step explanation:

Each x represents 1 boy. There are 4 x’s in the column 83 so there are 4 boys.

Help please like can u explain instead of just giving me the answer

Answers

Answer:

Thanks for asking for the explanation, everyone wants just the answer, You want to know how to solve the problem , great.  :)

Step-by-step explanation:

Our strategy  and one you can use on any triangle problem.  

the interior angles add to 180° .  Remembering that, seems to me, that very often is the "key" to figuring out triangle problems.

keeping that in mind, we know to add up all the inside angles to 180

180= A + B + C

from this particular triangle then,  we have

A = 6X

B = 90   ( b/c that's what the small red square is telling us, it's a 90 angle )

C = 5x - 2

put that all together

180 = 6x + 90 +5x - 2

now use your algebra skills to solve for X ( and to be fair, this is where lots of people struggle, the algebra skills are not so good )

so I'll just go slow

put like terms together

180 = 11x + 88  ( I just added the terms with an x,  and the constant terms )

move the 88 over to the other side by subtracting

92 = 11x

divide both sides by 11

92 / 11 = x

8.3636 = x

now that we know x, plug it into the expression for the angle next to the y angle in the picture

5x - 2

5(8.3636) - 2

39.8181

then y is the other part of another 180 pair of angles sooo use that again

180 = 39.8181 + y

solve for y

140.1818 = y

Hope this helps, ask any questions you may have, :)

The Mount Rushmore Monument is 60 feet tall. A model of the monument is sold in the gift shop. If the model was made using a scale of 1 inch = 40 inches, how tall is the model?

Answers

Answer:huh

Step-by-step explanation:huh

The model is 28800 inches tall if the Mount Rushmore Monument is 60 feet tall. A model of the monument is sold in the gift shop.

What is a scale factor?

The ratio among comparable dimensions of an object and a model with that object is known as an exponent in algebra. The replica will be larger if the scale factor is a whole number. The duplicate will be lowered if the step size is a fraction.

It is given that:

The Mount Rushmore Monument is 60 feet tall. A model of the monument is sold in the gift shop.

As we know, unit conversion can be defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.

1 feet = 12 inches

60 feet = 60x12 = 720 inches

The scale f 1 inch = 40 inches

720 inches after scale:

= 720x40

= 28800 inches

Thus, the model is 28800 inches tall if the Mount Rushmore Monument is 60 feet tall. A model of the monument is sold in the gift shop.

Learn more about the scale factor here:

brainly.com/question/22312172

#SPJ2

Dominick is planning to take a vacation to either Orlando or Tampa Bay. He wants to go to the city that is warmer, on average. The box plot shows the temperatures from the previous year during the time that Dominick will take his vacation

Answers

The tempature is the same as it was before he arrived meaning it didn’t change but it may of.

Find sin 0, where is the angle shown.
Give an exact value, not a decimal approximation.

Answers

Answer:

sinθ = [tex]\frac{24}{25}[/tex]

Step-by-step explanation:

By applying Pythagoras theorem in the given triangle,

Hypotenuse² = (Leg 1)² + (Leg 2)²

                      = (24)² + 7²

Hypotenuse = √625 = 25

By applying sine rule in the given triangle,

sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

Since, measure of opposite side = 24

Measure of hypotenuse = 25

Therefore, sinθ = [tex]\frac{24}{25}[/tex] will be the answer.

pleaseeee help!!!!
1. Find the -circumference- of the circle below.
Round your answer to the nearest hundredth (i.e. 2 decimal places).
(there is two questions) same circle
2. Find the -area- of the circle below.
Round your answer to the nearest hundredth (i.e. 2 decimal places).
Do not write the units. Only write the number.




Do not write the units. Only write the number.

Answers

if pie can be substituted for 3.14

1. 43.96
2. 153.86

Consider the equation n2+5=21.

Select from the drop-down menus to correctly complete the statement.

response - correct
The first step in solving the equation is to isolate the power.

After that, take the square root of each side.

Correct
Before you can use the square root property, one side of the equation must be a perfect square.
Question 2
Solve the equation.

Enter your answers in the boxes.

The solutions are
and
.

Answers

Step-by-step explanation:

n2+5=21

n2 =21-5

n2 = 16

n =16/2=8

Please Help!!!!! Best answer gets Brainliesttttt

Answers

Answer:

hi uhm what am i supposed to figure out?

Step-by-step explanation:

Gina did not use the same ratio as her teacher. I know this because 4:3 is not a simplified version of 9:6. If her teacher were to use a 8:6 ratio then it would’ve been the same.

Subtract the expression 5x-(-3x2+24)

Answers

Answer:

-90 is the answer

Step-by-step explanation:

hope it helpss <3

Please help me , im so bad at this loll

Answers

Answer:

1st: 8

3rd:0.25

4th:19

5th:1

Step-by-step explanation:

20 points
On Sunday, the 13th of April, the newspaper printed that the basketball game this past Friday April 14th was “One that will never be forgotten.” Which of the following best explains what happened in this section?

Answers

Answer:

yes the person who responded before is right

Is this function linear or nonlinear? *

Answers

Answer:

It's linear

Step-by-step explanation:

Answer:

Step-by-step explanation:

a function representing a st. line is linear.

WILL MARK BRAINLIEST

Enter the values for the following composite transformation.

Translate
units left and _____ units down, then rotate _____°.

Answers

Answer:

down 6,right 4, rotate 180 degrees assuming we are starting from the blue heart.

Step-by-step explanation:

A sports shop has 60 employees. 35% of the employees work part-time. How many part-time employees does the sports shop have?

Answers

Answer:

I think it is 21 employees

Step-by-step explanation:

hope I’m right :)

b
The equation sin(40°) = can be used to determine
20
the length of line segment AC.
- kao
C
b
А A
20 cm
400
B

Answers

Answer:

14.9cm

Step-by-step explanation:

20sin40= b

b= 14.9022

b = 14.9cm

Raheem , stuart and tommy share £594, the ratio of the amount of money raheem gets to amount of money tommy gets is 4:6. Raheem gets £108 less than tommy, how much does each person get.

Answers

Answer:

Step-by-step explanation:

Raheem , stuart and tommy share £594, the ratio of the amount of money raheem gets to amount of money tommy gets is 4:6. Raheem gets £108 less than tommy, how much does each person get.

Let the Amount of money

Raheem got = x

Tommy = y

Raheem gets £108 less than tommy

x = y - 108

The ratio of the amount of money raheem gets to amount of money tommy gets is 4:6.

Sum of Proportion =

4 + 6 = 10

=

Express 24 inches to 6 feet in simplest form.

Answers

Answer:

no

Step-by-step explanation:

can someone help me please

Answers

you got it correct !

Answer:

its correct don't sweat

Step-by-step explanation:

If I am right you are trying to find where the line cross each other it runs on 4 and rises to 2.

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