"A 20-foot ladder leans against the side of a house. The bottom of the ladder is 6 feet away from the house. What is the measure of the angle formed by the ladder and the ground?" How do I answer this?

Answers

Answer 1

Answer:

Value of θ [Angle of elevation] = 72.54°

Step-by-step explanation:

Given;

Length of foot ladder = 20 feet

Distance of foot from house (Base) = 6 feet

Find:

Angle of elevation

Computation:

Using trigonometry functions

Cos θ = Base / Hypotenuse

Cos θ = Distance of foot from house (Base) / Length of foot ladder

Cos θ = 6 / 20

Cos θ = 0.3

Cos θ = Cos 72.54

Value of θ [Angle of elevation] = 72.54°


Related Questions

PLEASE HELP
7) What are examples of a polyhedron? Check ALL that apply. *
cylinders
triangular prisms
spheres
rectangular prisms
square prisms
cubes
cones

Answers

Cubes
Triangular prisms
Rectangular prisms
Square prisms
Square prisms

What is the slope, m, and the y-intercept of the line that is graphed below?

Answers

Answer:

m=1 (0,3)

Step-by-step explanation:

m=1

slope is 1 because from left to right the line goes up and you move one 1and one to the left so m=1/1 =1

y-intercept is at (0,3) because is where the line intersects the y-axis

solve for 5 + 6f > 8f -7
linear inequalities

Answers

Answer:

5+6f>8f-7

5+7>8f-6f

12>2f

6>f

f<6

Step-by-step explanation:

Are 6x+4-3x+8 and 3x+4 equivalent?

Answers

Answer: No, they are not equivalent

Why not? Well the 6x-3x portion simplifies to 3x. So the x terms are equivalent; however, the 4 and 8 in the first expression combine to 12, which is not equivalent to that 4 in the other expression.

In other words, 6x+4-3x+8 should simplify to 3x+12 and not 3x+4.

find the square root of 3 upon 5 upto 2 decimal places​

Answers

Answer:

Square root of 3 upon 5:

√3÷5

= 0.3464101615137

0.35 (corrected to 2 decimal places)

Answer quick. please say either A,B or C in your answer. no need for explanation ​

Answers

A

Because the gradient of a vertical line is undefined.

help, please !! you will get 10 points !!

Answers

Answer:

25.5

Step-by-step explanation:

Using SOH CAH TOA, you can see that x is the hypotenuse, and 24 is adjacent to the angle 20, so you will need to use CAH.

CAH is cos=adjacent/hypotenuse. Substituting our values in means cos(20) will be equal to 24/x. By cross multiplying, you receive cos(20) x =24. To find x, divide 24 by cos(20) to get 25.5 to the nearest tenth.

Evaluate -4,550 divided by 7

Answers

Answer: -650

Step-by-step explanation:

I hope this helps :))

What is the mean of the snowfall amounts?

16.9 inches

15 inches

15.9 inches

16 inches

Year Snowfall (inches)
1997 14
1998 10
1999 17
2000 24
2001 12
2002 19
2003 15
2004 27
2005 14
2006 17

Answers

Answer:

16.9

Step-by-step explanation:

14+10+17+24+12+19+15+27+14+17=169

169/10=16.9

what is the equation representing

Answers

Exponential growth because a decay would be a fraction in the parenthesis

Answer:

Exponential growth. Hope it helps.

The chart below show the highest points in California's channel island

The value of the 1 in vista points height is ten times the value in_____height

Answers

Answer:

I think it’s Soledad

Step-by-step explanation:

Tamara orders graphic novels. Each graphic novel costs $9.50. A one-time shipping fee of $12.25 is added to the cost of the order. The total cost of Tamara’s order before tax is $183.25. How many graphic novels did Tamara order?

Answers

Answer:

18 novels

Step-by-step explanation:

X= number of novels, 12.25 is a fixed fee.

9.50x+12.25=183.25

9.50x=171

x=18 novels

Your carry-on bag weighs 25 pounds. Carry-on bags can weigh at most 50 pounds. Write and solve an inequality to represents how much more weight you can add to the bag and still meet the requirement.

Answers

Answer: Required inequality: [tex]25+x\leq 50[/tex]

we can add at most 25 pounds.

Step-by-step explanation:

Let x = Weight added.

As per given,

25 pounds + Weight added Must be less than or equal to 50 pounds

i.e. Required inequality: [tex]25+x\leq 50[/tex]

To solve , we subtract 25 from both the sides ,we get

[tex]x\leq 25[/tex]

hence, we can add at most 25 pounds.

Please help me and if you can, could you please explain. Thank you :D

Answers

Answer: you said help so I’m not going to give the actual answer, just how to do it.

Step-by-step explanation:

You have to find the answer first. You work out the top and then you work out the bottom. Then divide the top by the bottom. YIU will get a number woth a power. The power is x that is your answer.

Answer:

Step-by-step explanation:

What is the measurement of angle 1?
please help

Answers

Answer:

∠ 1 = 63°

Step-by-step explanation:

∠ 1 and 117° are adjacent angles and sum to 180° , that is

∠ 1 + 117° = 180° ( subtract 117° from both sides )

∠ 1 = 63°

The sum of two numbers is 21 . One number is 12 more than the other one. Find the numbers.

Answers

The 2 numbers would be 9 and 12

Answer:

4.5 and 16.5

Step-by-step explanation:

4 + 16 = 20

5 + 17 = 22

(NUMBERS HAVE TO BE BETWEEN 4 - 5 AND 16 - 17)

4.5 + 16.5 = 21

16.5 - 12 = 4.5

Convert the decimal, 2.55, into an improper fraction

Answers

Answer:2.55 in fraction form is 51/20.

Step-by-step explanation:

What is the value of r

Answers

Answer:The value of R at atm that is at standard atmospheric pressure is R = 8.3144598 J. mol-1. K-1.

Step-by-step explanation:i got this from someone

out of the total 225 students surveyed, what is the probability that a randomly selected student who is enrolled in spanish will also be taking math?

Answers

Answer:

5 ÷ 5 = 1

125 5 25

Step-by-step explanation:

The number between the two it's the number of people who does both

I believe it is C. But if I’m wrong let me know :)

(No link pls <3)

Answers

I also think- Because you're drawing on the same marble without replacing it.

Arrange the entries of matrix AB in increasing order of their values.

Answers

Answer:

[tex]-186 \to -32 \to 6 \to 27 \to 28\ to 38 \to 56 \to 90 \to 115[/tex]

Step-by-step explanation:

Given

See attachment for A and B

Required

Arrange AB in ascending order

We have:

[tex]A = \left[\begin{array}{ccc}1&7&-1\\5&-2&-9\\-3&8&3\end{array}\right][/tex]

and

[tex]B = \left[\begin{array}{ccc}5&1&7\\3&15&-2\\-1&-9&25\end{array}\right][/tex]

So:

[tex]C = A * B[/tex]

[tex]C = \left[\begin{array}{ccc}1&7&-1\\5&-2&-9\\-3&8&3\end{array}\right] * \left[\begin{array}{ccc}5&1&7\\3&15&-2\\-1&-9&25\end{array}\right][/tex]

[tex]C = \left[\begin{array}{ccc}{27}&{115}&{-32}\\{28}&{56}&{-186}\\{6}&{90}&{38}\end{array}\right][/tex]

Where:

[tex]C_{1,1} =1*5 + 7*3 + (-1) * (-1)[/tex]

[tex]C_{1,2} =1*1 + 7*15 + (-1)*(-9)}[/tex]

[tex]C_{1,3} = 1*7 + 7*(-2) + (-1)*25}[/tex]

[tex]C_{2,1} = 5*5 + (-2)*3 + (-9) * (-1)}[/tex]

[tex]C_{2,2} = 5*1 + (-2)*15 + (-9)*(-9)}[/tex]

[tex]C_{2,3} = 5*7 + (-2)*(-2) + (-9)*25}[/tex]

[tex]C_{3,1} =(-3)*5 + 8*3 + 3 * (-1)[/tex]

[tex]C_{3,2} = (-3)*1 + 8*15 + 3*(-9)[/tex]

[tex]C_{3,3} = (-3)*7 + 8*(-2) + 3*25[/tex]

In increasing order, we have:

[tex]-186 \to -32 \to 6 \to 27 \to 28\ to 38 \to 56 \to 90 \to 115[/tex]

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

Answers

Answer:

is it 7?

Step-by-step explanation:


[tex]5x + 11(7x - 3[/tex]

Answers

[tex]82x - 33[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]5x + 11(7x - 3) \\ = 5x + 77x - 33 \\ = 82x - 33[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

what is 2x=10 simplified?

Answers

Answer:

x=5

Step-by-step explanation:

2x=10

Divide each side by 2

2x/2 = 10/2

x = 5

please help i am confused

Answers

I’m not sure about the second half but since it’s a triangle all of the angles add up to 180° so you can find the third angle by adding 61 and 90 then subtracting that from 180 to get the third angle

Una botella de agua de 3/4 de litro de capacidad, tiene solo la mitad de líquido, ¿qué cantidad de litros de agua tiene la botella? *
A. 3/2 de litro
B. 3/8 de litro
C. 8/3 de litro
D. 1/2 de litro

Answers

Answer:

Amount of water in bottle = 3/8 liter

Step-by-step explanation:

Given:

Total capacity of bottle = 3/4 liter

Amount of water in bottle = 1/2 of total capacity

Find:

Amount of water in bottle

Computation:

Amount of water in bottle = [Total capacity of bottle[1/2 of total capacity]

Amount of water in bottle = [3/4][1/2]

Amount of water in bottle = 3/ [(4)(2)]

Amount of water in bottle = 3/8 liter

∠A and ∠ B ∠B are complementary angles. If m ∠ A = ( x − 23 ) ∘ ∠A=(x−23) ∘ and m ∠ B = ( 2 x + 29 ) ∘ ∠B=(2x+29) ∘ , then find the measure of ∠ B ∠B

Answers

Answer:

85

Step-by-step explanation:

2x + 29 + x - 23 = 180

solve for x = 28

b = 2 * 28 + 29 = 85

what is 25% of 144 (please help i have a few more hours to get done my final exam and this final review

Answers

% 25 = 1/4

Thus :

144 × 1/4 = 36

Find the volume of the cylinder in terms of pie and to the nearest tenth 4 in 1in

Answers

Answer:

Actual answer:

4^4 = 16

16 x 3.14 = 50.24

50.24 x 1(height) = 50.24

Rounded to the nearest Tenth:

50.24 rounded = 50.2

the capacity of a jug is 6L. Kerry needs 5L of juice for a party. how many jugs will she have to make?

from the owner's lil sis

Answers

Answer:

One

Step-by-step explanation:

Given data

The capacity of Jug= 6L

Needed capacity of Juice= 5L

Hence  one Jug of Juice will be enough because one jug of juice will cover for 6L and 1 L will actually remain

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