A ten foot long ladder leans against a wall, with the top of the ladder being eight feet above the ground. What is the approximate angle that the ladder makes with the ground?

Answers

Answer 1

Answer:

Answer:

The angle that the ladder made with the ground = 53.13010235°

Step-by-step explanation:

The ladder has a length of 10 ft and it leaned against a wall to form a right angle triangle. The height from the top of the ladder to the ground is given as 8 ft. The triangle formed from the illustration can be represented with the picture below.

The angle A is the angle the ladder made with the ground.

Length of ladder = c

height from the top of the ladder to the ground = a

The distance of the foot of the ladder and the wall = b

c = 10 ft

a = 8 ft

Using SOHCAHTOA

sin A = a/c

sin A = 8/10

sin A = 0.8

A = sin-1 0.8

A = 53.13010235°

Answer 2

Answer: so we got hypotenuse and opposite side so to find the angle we use the trig function
sin = opposite/hypotenuse
¢=angle
sin¢=8/10
sin¢= 0.8

arcsin¢=arcsin(0.8)
¢= 53.13 degrees

Related Questions

In forming a contract, the “meeting of the minds” is _____.
Find zero of the poylnomial p(x)=x-4
Which equation is true for any value of y?A. 4y^2+2=(4y*4y)+2B. 4y^2+2=(4y+y)+2C. 4y^2+2=4(y+y)+2D.4y^2+2= 4(y×y)+2
Solve for x (2x-2)+(x+5)
If your annual salary is $68,900, how much would be your salary in 3 years?. Write anEquation and solve the problem

I’ve been trying to work this out for a while…
Please give the answer with explanation

Answers

a) Yes, The average speed of the train could have been greater than 145 km/h,

b) the new maximum average speed, correct to 2 decimal places, is approximately 2.46 km/minute.

a) To determine if the average speed of the train could have been greater than 145 km/h, we need to calculate the maximum possible average speed given the track length rounded to the nearest 10 km.

The track length is 290 km, rounded to the nearest 10 km. This means the actual track length could be anywhere between 285 km (290 km - 5 km) and 295 km (290 km + 5 km).

To find the maximum average speed, we'll assume the train took the minimum possible time (120 minutes) to cover the maximum possible track length (295 km):

Maximum Average Speed = (Maximum Possible Track Length) / (Minimum Possible Time)

Maximum Average Speed = 295 km / 120 minutes ≈ 2.4583 km/minute (rounded to 4 decimal places)

Since 2.4583 km/minute is greater than 145 km/h (which is approximately 2.4167 km/minute), the answer is:

Yes, the average speed of the train could have been greater than 145 km/h.

b) Now that we know the track was measured to the nearest 5 km, we'll calculate the new maximum average speed in km per minute based on the maximum possible track length (295 km) and the minimum possible time (120 minutes):

Maximum Average Speed = (Maximum Possible Track Length) / (Minimum Possible Time)

Maximum Average Speed = 295 km / 120 minutes ≈ 2.4583 km/minute (rounded to 4 decimal places)

So, the new maximum average speed, correct to 2 decimal places, is approximately 2.46 km/minute.

Learn more about average speed here:

brainly.com/question/29811573

#SPJ1

Put these in order of size, smallest first 0.1. 30% 1/5

Answers

well put it in percentage
so you know 30 % is the same so then do
0.1 and that is 1/10 and that is also 10/100
also there is 1/100 is out of 100 %
so that means that 0.1 is 10 %
and 1/5 is the same as 2/10 and the same as 20/100 also the same as 20%
so the oder is 0.1 , 1/5 , 30%

0.1 1/5 30%

I hope this helps. If doesn't please tell me :)

How do you classify the slope of a line ?

Answers

y=mx+b

slope= rise
run
If its already graphed then you find where the line meets the y- line ( thats the b in the equation) from there you go up or down on the y- line to the point where the line next meets directly over another vertical line on the grid, the number of times you moved up or down is the "rise" in the equation for slope. After finding rise your move left or right from that point on the y-line until you meet the point where the line is and that will be the run. That fraction or number once you simplify the equation is you slope. Hope that helps.

Answer:

Easy the equation will always be y=mx+b

mx is the slope in the equation and b is the y intercept and always remember rise over run

Step-by-step explanation:

The Martin family is considering building a new house. On the blueprints, the dimensions of the outside of the house are 18 inches wide by 26 inches long. If the house is actually going to be 45 feet wide, what will the actual length of the house be?

Answers

This can be answered through simple ratio and proportion

Let x = width

y = height

x/y = x2/y2 = x3/y3

since

for 18 inches width we have 26 inches as length, therefore

18/26 = 45/y2

y2 = 65 ft

there is no need to convert the units for the smaller dimensions since we are dealing with definite ratios thus unitless.

Write the standard form of the line that contains a slope of 1/2 and y intercept of 3

Answers

Y=1/2x+3 is the answer

1\2 plus y equals 3 is your answer

Y = x² + x + 8 find 1st and 2nd derivitive

Answers

Answer:

y' = 2x + 1

y'' = 2

Step-by-step explanation:

y = x² + x + 8

y' = 2x + 1

y'' = 2

Other Questions

8 buttons are to 1 package as ? buttons are to 5 packages.20 30 40 50

Bob and his best friend Bill have the same birthday, but Bob is 3 years older than Bill. Let the variable x represent Bob’s age and y represent Bill’s age. Which equation models the relationship between Bill’s age and Bob’s age?a. y = x/3b. y = x + 3c. x = y + 3d. y = 3x Is the statement true or false? (ab)c = a(cb). a. Trueb. False

Plz helppppppppppppp

Sam bought brushes for $8, a palette for $5, and oil paints for $15. He paid $29.82 in all. What sales-tax rate did Sam pay?