A 26-ft ladder leans against a building so that the angle between the ground and the ladder is 81 degrees. How high does the ladder reach on the building? the answer is in ft

Answers

Answer 1

Answer:

25.7 feets

Step-by-step explanation:

From the diagram attached, we could use trigonometry to obtain the height,h :

Using the trigonometric relation :

Sin θ = opposite / hypotenus

Opposite = h

Hypotenus = 26 feets

Sin 81° = h / 26

Height, h = 26 * sin 81°

h = 26 * 0.9876883

h = 25.679

Height, h = 25.7 feets


Related Questions

(HURRY) A tank is filled with 100 gallons of water. The volume of water decreases by 10 gallons every hour.
Which equation represents this situation if V represents the volume of water left in the tank in gallons and represents the time in hours?

Answers

Answer:

100 - 10x = v

Step-by-step explanation:

Plan-

100 gallons of water to startthen -10 gallons per hourfind v

Steps

[tex]100-10x[/tex] = V

(x repersents the hours)

Rachel is driving at 48mph. She sees an accident directly ahead of her about 200 feet away. Will she be able to stop in time?

Answers

No she will not be able to stop in time and she probably shouldn’t be drinking that fast lol

Shaylee is determining if 6 is the solution to the equation.

Answers

Answer:

please give me brainlist and follow

Step-by-step explanation:

42 ÷ w = 7 for w = 6. First, Shaylee must substitute ( ) for ( ). To simplify, Shaylee must divide ( ) by ( ) .

What is the density of a 60-gram pyramid with rectangular base 5 cm x 7 cm and height 9 cm?

Answers

Answer:

A

Step-by-step explanation:

The density of the pyramid is approximately 0.57 grams per cubic centimeter.

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

To find the density of the pyramid, we need to know its volume as well as its mass.

The volume of a pyramid is given by:

V = (1/3) × base area × height

The base of the pyramid is a rectangle with dimensions 5 cm by 7 cm, so its area is:

A = 5 cm × 7 cm

= 35 cm²

Using the formula for the volume of a pyramid, we have:

V = (1/3) × A× h

V = (1/3) × 35 cm² × 9 cm

V = 105 cm³

Now we can calculate the density:

density = mass / volume

Since the mass of the pyramid is given as 60 grams, we have:

density = 60 g / 105 cm³

To get the density in units of grams per cubic centimeter, we need to convert the units of mass and volume to grams and cubic centimeters, respectively:

density = (60 g / 1000) / (105 cm³ / 1000)

density = 0.57 g/cm³

Therefore, the density of the pyramid is approximately 0.57 grams per cubic centimeter.

To learn more on Three dimensional figure click:

https://brainly.com/question/2400003

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Please answer correctly! I will mark you as Brainliest!

Answers

Answer:

V = 40

Step-by-step explanation:

Volume of a Pyramid:

V = 1/3bh

Given:

b = 10

h = 12

Work:

V = 1/3bh

V = 1/3(10)(12)

V = 40

Uh please help me, I need a step by step answer.

Answers

Answer:

B 1296

Step-by-step explanation:

Area of a rectangle = Length × Width

Area of a triangle = [tex]\frac{1}2[/tex] × Base × Height

3 sides are rectangles with the measurements of (9mm by 21mm)

So 3(9 × 21) = 567mm^2

6 sides are rectangles with the measurements of (9mm by 9mm)

So 6(9 × 9) = 486mm^2

1 side is a rectangle with the measurements of (9mm by 15mm)

So (9 × 15) = 135mm^2

2 sides are triangles with unknown, but equal bases.

To calculate the base, you subtract 9 from 21:   21 - 9 = 12mm

Therefore the base = 12mm

The other measurement can be found by looking to the left of the triangle (9mm from the side)

So   2([tex]\frac{1}2[/tex] × 12 × 9) = 108mm^2

Add the sides up:

567 + 486 + 135 + 108 = 1296 mm^2

If a=5 and b=-3, what is the value of 2ab-b2?
A. -262
B.-259
C.-39
D.-21

Answers

Have you tried photomath?

Answer:

I get 24...... ....... .......

On Wednesday 72% of the customers who bought gas at a gas station made additional purchases. There were 250 customers who bought gas.


How many of these 250 customers made additional purchase?



























im doing a test

Answers

Answer: 180 people

I hope i helped you! I wish you luck on the test!

A circle has a radius of 8.25 feet. To the nearest square foot, what is the area of the circle?
Use the on-screen keyboard to type the correct response in the box below.

Answers

Answer: 214 ft^2

Step-by-step explanation:

A=πr^2

3.14(8.25)^2

3.14(68.0625)

213.71625

rounded to the nearest square foot: 214

how can the volume of a sphere be found?​

Answers

Answer:

The formula for the volume of a sphere is V = 4/3 πr³. See the formula used in an example where we are given the diameter of the sphere.

Step-by-step explanation:

plz can i get brainliest

Somebody help me out real fast

Answers

I think it’s the last one

I need help please and thanks

Answers

Answer:

hi

Step-by-step explanation:

[tex] {12}^{2} + {x}^{2} = {14}^{2} \\ 144 + {x}^{2} = 196 \\ {x }^{2} = 196 - 144 \\ {x}^{2} = 52 \\ x = 2 \sqrt{13} [/tex]

i think so

hope it helps

have a nice day

No links GEOMETRY HELP PLEASE!! WILL MARK BRAINLEIST!
9

Answers

Answer:

16.

solution:

perimeter = 64

4l = 64

l= 64/4

l=16

Answer:

Step-by-step explanation:

since it's a square we know the 4 sides are the same length.

64 / 4  =  16  

so each side is 16.... now use pythagoras to solve for GE since we know the two legs of the triangle  .. both 16

16^2 + 16^2 = GE^2

512 = GE^2

[tex]\sqrt{512}[/tex] = GE

22.627417 = GE

GE = 22.6  ( rounded to nearest 10th )

Hillary is making a blanket for her mom. Three fourths of the blanket is green and the rest is yellow. Two thirds of the yellow part has her name on it. What fraction of the blanket will, have her name on it?

Answers

Answer:

1/6

Step-by-step explanation:

Hillary is making a blanket for her mom.

Let the total blanket = 1

Three-fourths of the blanket is green and the rest is yellow.

The fraction for the rest(yellow portion) = 1 - 3/4

The Lowest Common Denominator is 4

Hence,

4 - 3 /4 = 1/4

Two-thirds of the yellow part has her name on it.

The fraction of the blanket that will have her name on it is calculated as

2/3 of 1 /4

= 2/3 × 1/4

= 1/6

use the formula c=d and = to find the diameter of this circle whose circumference equals 172.7cm​

Answers

Answer:

55cm

Step-by-step explanation:

guys i need help with this math question anyone help plzz???

Answers

Answer:

Dan made more money last month

Step-by-step explanation:

15/100  10/100 Make into decimal's and Dan's is still higher

There are 1,024 players in a tennis tournament. In each round, half of the players are eliminated. Which function can be used to find the number of players remaining in the tournament at the end of x rounds?

A: f(x)=1,024(1.50)x
B: f(x)=1,024(0.50)x
C: f(x)=1,024(1.05)x
D: f(x)=1,024(0.05)x

Answers

Answer:

f(x) = 1,024(0.50)x

Step-by-step explanation:

i just took the test :)

Find the value of the missing angle x.
85
68

Answers

Answer:

hey so the angles in a triangle add up to 180°.

take your given angles away from that to find your 3rd angle

180-68-85-27°

angles on a straight line also add up to 180°

so you need to take 27 from 180 to find your answer

180-27=153°

How do you solve b^2=-3b

Answers

Answer:

b=0,-3

Step-by-step explanation:

b^2+3b=0

b(b+3)=0

b=0

b+3=0

b=-3

Answer:

b = 0 OR b = -3

Step-by-step explanation:

To start off with, we know that this must be a quadratic equation because there's a "^2".

Firstly, we have to bring everything over to one side of the equation. This means we have to add 3b to both sides, as we want the right-hand side to be 0.

b^2 = -3b

+3b   +3b

b^2 + 3b = 0

Secondly, we have to factorise. We need to see what number goes into both "b^2" AND "3b".

That is "b".

b^2 + 3b = 0

factor out b

b(b + 3) = 0

Thirdly, we have to use the Null Factor Law to find out what b equals. The Null  Factor Law states that if an equation equals 0, then one of the terms must either be 0, or the negative of the other number.

Hence, there are two answers.

b = 0

OR

b = -3

459,450,441, find the 37th term

Answers

Answer:

135

Step-by-step explanation:

So, our first term is 459.

Lets find what our change in terms is. To do this, lets subtract the frist term by the second:

459-450

This will get you 9.

Now that we know our change per term, lets find our 37th term.

All we need to do, is take our first term, and subtract it by our change in terms times the amount of terms.(Note that we already know are 1st term, so we are multiplying the change in terms by 36, not 37. )

So this is what we can use to solve for this:

459-(9x37)

This equals

135.

Hope this helps!

Step-by-step explanation:

first term = a = 459

common difference = d = 450 - 459 = -9

nth term = an

n = -9

an = a + (n-1)d

= 459 +(37-1)-9

= 459 + (36)-9

= 459 -324

= 135

37 th term = 135

plz mark my answer as brainlist if you find it useful for you. hope this will be helpful to you .

Find the height of a trainable with an area of 22 square inches and a base of 4 inches. Include the measurement of the shape in your answer. First who gets it right gets brainliest

Answers

Answer:

The height is 11 in

Step-by-step explanation:

I think you mean triangle?

area of a triangle is A = 1/2 b h

fill in and solve for h

22 = 1/2 4 h

44 = 4h

11 = h

if the perimeter of an equilateral triangle is 54 in, what is the area? step by step

Answers

Answer:

A≈140.3in²

Step-by-step explanation:

A=3 /4a^2

P=3a

67 people are running a race. How many different ways can there be a 1st, 2nd, and 3rd place winner?

Answers

Probably by gender and age. Different age groups get first second and third.

write the mixed number 9 and 1/12 as a decimal

Answers

Hey there!

“Write 9 1/12 as a decimal”

9(12) + 1 / 12

9(12) = 108

108 + 1/ 12

108 + 1 = 109

109/12

109/12 = 9.083

Answer: 9.083

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

which of. the following events are dependent
A)tossing a coin and selcting a card from a deck
B) tossing a coin tossing a second coin
C) picking a marble out the bag replacing it, and picking another marble
D) picking a candy out a bag eating it and picking another candy​

Answers

Answer:

i would say C picking a marble out the bag replacing it, and picking another marble

Step-by-step explanation:

PLS HELPP!
In the diagram, PQ←→ ∥ RS←→
, and transversal t
intersects both lines.

Select all the true statements.

∡1 ≅ ∡4
because they are vertical angles

∡1 ≅ ∡8
because they are alternate exterior angles

∡1 ≅ ∡5
because they are corresponding angles

∡1 ≅ ∡3
because they are alternate interior angles

Answers

Answer: First three is correct. Angle 1 = Angle 3 is incorrect.

HELP ME PLEASE plsssssss

Answers

Answer:

220i

Step-by-step explanation:

v=length×width×height

I need the answer please

Answers

4cm is the answer

It’s a rectangle so that means AD is equal, congruent, parallel, etc to BC

Answer:

Segment 4 cm is congruent

30% of the scholars are working as stagehands. 35 scholars are actors and actresses. How many students in total are in the school play, acting and working behind the scene?

Answers

Answer:

There are 50 students in total in the school play, acting and working behind the scene.

Step-by-step explanation:

Since the statement indicates that 30% of the scholars are working as stagehands, you can subtract this from 100% that represents the total amount of student in the school play to find the percentage that are actors and actresses:

100%-30%=70%

Now, as you know that 70% of the students are actors and actresses and the statement indicates that they are 35, you can use a rule of three to find the amount of students that represent 100%:

70%    →    35

100%   →     x

x=(100*35)/70

x=50

According to this, the answer is that there are 50 students in total in the school play, acting and working behind the scene.

What does x=6 match?

Answers

No slope so answer is C
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