A roofer props a ladder against a wall so that the top of the ladder reaches a 20 foot roof that needs repair. If the angle of elevation from the bottom of the ladder to the roof is 46 degrees, what is the length of the ladder to the nearest foot?

Answers

Answer 1

Answer:

19.33 ft

Step-by-step explanation:

This analogy has to do with Pythagoras theorem.

We're given our angle of elevation to be 46°, and told that the height of the building to be 20 ft. Using Pythagoras theorem, we know that the given height is opposite to the angle of elevation, and thus, the required distance is adjacent to it.

Sin 46° = opp / hyp

Sin 46° = 20 / hyp

hyp = 20 / sin 46

hyp = 20 / 0.719

hyp = 27.82 ft

We've gotten the length of the ladder, our hypotenuse, to be 27.82. It's tied length we'd then use top find the needed length.

Cos 46° = adj / hyp

Cos 46° = adj / 27.82

adj = 27.82 * Cos 46

adj = 27.82 * 0.695

adj = 19.33 ft

Therefore, the required length is approximately equal to 19.33 ft


Related Questions

Tell me what's better 38 packs of water for $14.60 or 63 packs of water for 24.90

Answers

Answer:

I think 63 packs

Step-by-step explanation:

But not sure so tell me if I'm right

Factor the following trinomial
x2 + 8x – 9

Answers

Answer with step-by-step solution:

x^2+8x-9

x^2+9x-x-9

x(x+9)-(x+9)

(x+9)(x-1)

IF a=5 b=-3 c=4 what is 1] 3a +2b 2]4c + 3b 3]a+b+c

Answers

Step-by-step explanation:

1.

[tex]3(5) + 2( - 3) = 15 - 6 = 9[/tex]

2.

[tex]4(4) + 3( - 3) = 16 - 9 = 7[/tex]

3.

[tex]5 + ( - 3) + 4 = 6[/tex]

Jenna likes to exercise outdoors. The exercises from which she choose are riding her bike, rollerblading, jogging, and walking. For each exercise, she can do laps are a high school track, on a paved trail in the park, or around the block in her neighborhood. How many different combination of exercises and locations can Jenna create?

13
12
4
3

Answers

I think the answer is 4 :)

12 different combination of exercises and locations can Jenna create.

What is Combination?

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order. Permutations and combinations can be mixed up.

We have,

Jenna likes to exercise outdoors. The exercises from which she choose are riding her bike, rollerblading, jogging, and walking.

So, the possible combination are

= 4 x 3

= 12

Learn more about Combination here:

https://brainly.com/question/13387529

#SPJ2

How do you graph (0,4) need help thank you!

Answers

Answer:

Just move 4 spaces up

Step-by-step explanation:

Answer:

left 0 up 4

Step-by-step explanation:

Please help, I’ll give brainliest, thumbs up, 5 stars!!!

Answers

Answer:

1. 63.64

2. 54 in

3. 18 in

4. 20.25

5. 168

6. 6 cm

Step-by-step explanation:

Lori is running in a marathon, which is 26.2 miles long. So far she has run one-tenth of the marathon. How far has Lori run?

Answers

Answer:

2.62

Step-by-step explanation:

10e + 3 < 92

Please reply quickly and explain. I'm having trouble understanding.

Answers

Answer:

10E+3 <92

10(e:6) or any number

10(6)=60+3=63 <92

Step-by-step explanation:

Answer:

10e + 3 < 92

Step-by-step explanation:

Any number times ten plus three is less than 92. Like e = 3, which would be 10(3)+3, or 33. Any number that would make the statement true can be used in the place of e.

The weight of one serving of chips is 2 1/4 oz. How many servings are there in a 22 1/2 oz bag of chips?

Answers

Answer:

22 1/2 ÷ 2 1/4 = 10 servings

What is the length of the diagonal from vertex J to vertex L in the quadrilateral below? A. √113 B. 11 units C. √103 D. 3 √33

Answers

Answer:

the answer is B.

Step-by-step explanation:

Please help!!!! asap

Answers

answers:
1. up 5
2. left 5

Gabriella went shopping for a new pair of pants because of a sale. The store was offering a 30% discount. What number should she multiply the prices on the tags by to find the price she would have to pay, before tax, in one step?

Answers

I think it is 0.3 hope it helps

Answer:

Step-by-step explanation:

Just multiply by 0,3

For EXAMPLE

30% of 100 would be 30

100 x 0,3 = 30

The linear model P=3.75g+1.5 predicts the total cost, P, in dollars, to purchase g gallons of gas at a gas station. Based on the linear model, how much should it cost to purchase 12 gallons of gas?

Answers

Answer:

Answer is 46.50

Step-by-step explanation:

I look everywhere and said it was this hehe

DUE SOON

If m<4 = 112 degrees, write the measure of EVERY angle in the diagram.

Answers

Answer:

m1 = 112 vertical angle

m2 = 180- 112= 68

m3 = 68 vertical with m2

m5 = 112 corresponding with m1

m6 = 68 corresponding with m2

m7 = 68 vertical with m6

m8 = 112 vertical with m5

Cory makes a map of his favorite park, using a coordinate system with units of yards. The old oak tree is at position (3, 7) and the granite boulder is at position (-2, 6). How far apart are the old oak tree and the granite boulder? Round to the nearest tenth if necessary

Answers

Answer: 5.09 units

Step-by-step explanation:

Given

Coordinates of Old oak tree are (3,7)

Coordinates of granite boulder are (-2,6)

Distance between them is given by distance formula i.e.

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Distance between them is

[tex]\Rightarrow d=\sqrt{(-2-3)^2+(6-7)^2}\\\Rightarrow d=\sqrt{(-5)^2+(-1)^2}\\\Rightarrow d=\sqrt{25+1}=\sqrt{26}\approx 5.09\ \text{units}[/tex]

Using our formula y2-y1/x2-x1, find the slope of a line through two ordered pairs show your work (-3,-4)(4,5)

Answers

Given:

The two points are (-3,-4) and (4,5).

To find:

The slope of the line that passes through the given points.

Solution:

The slope formula is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The line passes through the points (-3,-4) and (4,5). So, the slope of the line is

[tex]m=\dfrac{5-(-4)}{4-(-3)}[/tex]

[tex]m=\dfrac{5+4}{4+3}[/tex]

[tex]m=\dfrac{9}{7}[/tex]

Therefore, the slope of the given line is [tex]m=\dfrac{9}{7}[/tex].

PLEASE HELP: GRADE 7th MATH

Answers

The angel is complementary and x=15
the angle is 15 and complementary

The ratio of students who took Spanish to students who took German was 15 to 2. If 3000 students took Spanish how many took German?

Answers

The answer is 400 students took German

Kendra has a painting canvas that is 27 inches wide by 32 inches high. She painted a red rose, which covered 40% of the canvas.

What was the area of the canvas which was covered by the red rose?
A.
138.24 in2
B.
864 in2
C.
43.2 in2
D.
345.6 in2

Answers

It’s D 345.6
27*32 =864
864*.4 = 345.6

Answer:

D

Step-by-step explanation:

27*32=864

40%/100%=0.4

0.4*864=345.6

can someone help please?

Answers

Answer:

Step-by-step explanation:

Vertex of the given parabola = (1, -4)

Since, vertex form of a parabola is given by,

y = (x - h)² + k

Here (h, k) is the vertex

Now substitute the coordinates (1, -4) in the equation.

y = (x - 1)²- 4 [Vertex Form]

Further solve this equation,

y = x² - 2x + 1 - 4

y = x² - 2x - 3 [Standard form]

Further write this equation in the factored form,

y = x² - 3x + x - 3

y = x(x - 3) + 1(x - 3)

y = (x + 1)(x - 3) [Factored form]

Which sentence contains a metaphor?(1 point) The sunset was a masterpiece of brilliant oranges, pinks, and purples. Connie walked her dog along the tree-lined street. I was so hungry that I could have eaten ten thousand hamburgers. Milo was as fast as a cheetah when he ran the race at school.

Answers

Answer:

A

Step-by-step explanation:

because it is

How do you solve what is 2/3 of 3/4?

Answers

Answer:

0.5

Step-by-step explanation:

Pls help me i need help fast

Answers

Answer:

40%

Step-by-step explanation:

30p         Add up the total number of plants

12L          we can see that lettuce is equal to 12

12/30 =0.4 or 40%

help please!!!!!!!!!!!!!

Answers

Answer:

dude i tried to answer this one for weeks on end, sorry i wasnt much help

Step-by-step explanation:

what is 60=12x
answer fast!

Answers

Answer:

x=5

Step-by-step explanation:

Please help me......

Answers

Answer:

[tex]\frac{3}{8}[/tex]

Step-by-step explanation:

[tex]A=6*\frac{1}{4} ^2\\\\A=6*\frac{1}{16} \\\\A=\frac{6}{16} \\\\A=\frac{3}{8}[/tex]

Answer:

[tex]A = \frac{3}{8}ft^2[/tex]

Step-by-step explanation:

Using the given formula, [tex]A=6s^2[/tex], and the given value for the side length of the cube, [tex]\frac{1}{4}[/tex] foot, substitute the given value into the equation and solve.

[tex]A=6(\frac{1}{4})^2[/tex]

Remember, setting any value to the second power is the same as multiplying the base (the value that is being squared) by itself. Apply this information to the given problem,

[tex]A = 6(\frac{1}{4}*\frac{1}{4})\\\\A = 6(\frac{1}{16})\\\\A = \frac{6}{16}\\\\A = \frac{3}{8}[/tex]

-17<7n +4 < 46 help asap

Answers

Answer:

- 3 < n < 6

Step-by-step explanation:

Given

- 17 < 7n + 4 < 46 ( subtract 4 from each of the intervals )

- 21 < 7n < 42 ( divide each interval by 7 )

- 3 < n < 6

Distributive property help me out

Answers

Answer:

(7 x 3) + (7 x 1)

He already answered so I’m just tryna get points

Which image shows a reflection ABC

Answers

Answer:

A I think

Step-by-step explanation

Answer:

A

Step-by-step explanation:

I am not sure but I think it's A

What is the slope-intercept formula for a line with a rise of 3, a run of 1 and a y-Intercept of 5?

Answers

Answer:

y=3x+5

Step-by-step explanation:

y=mx+b

intercept is 5, postive and represents b

Slope is 3 and represents m

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