The University of Central Florida is planning to build a new access ramp for wheelchairs at its education building. The main entrance to the building is 4 feet above the sidewalk level. The angle of elevation from where the ramp and sidewalk would meet is 8.1°. Determine the length of the ramp to the nearest tenth of a foot.

Answers

Answer 1

Answer:

0.6 feet

Step-by-step explanation:

We solve this question using the Trigonometric function of Tangent.

tan θ = Opposite/Adjacent.

Where:

Opposite = Height /Length of the ramp = ?

Adjacent = Distance from the base of the ramp = 4 feet

θ = 8.1°

Therefore,

tan 8.1° = x/4

Cross Multiply

x = tan 8.1 × 4

x = 0.5692843028 feet

Approximately = 0.6 feet

Length of the ramp = 0.6 feet.


Related Questions

A school band is buying new jackets and hats. A jacket
costs $100 and a hat costs $40. The expression 100j + 40h
represents the cost of į jackets and h hats. How much will 5
new jackets and 8 new hats cost?

Answers

Answer:

it will cost 1820

Step-by-step explanation:

add 100 + 40=140 x 13=1820

Hoped it helps

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31 points

Answers

Answer:

Thanks for free points have a nice day :)

Please help please please help me please please

Answers

Answer:

8.88

Step-by-step explanation:

With reference angle 42°

hypotenuse (h) = 12

base (b) = x

Now

cos 42° = b / h

0.74 = x / 12

x = 0.74 * 12

x = 8.88

Answer:

the answer is 48 I think

Step-by-step explanation:

I did it by sub 90 and 42

Help out pls ill mark u brainliest

Answers

Answer:

B = 119

C = 119

Step-by-step explanation: 180 - 61

B and C are vertical angles

Maribel sold 20% of the cupcakes she made. If she sold 35 cupcakes, then she made how many
cupcakes in all.

Answers

Answer:

20% x 5= 100%

35 x 5= 175

she has a total of 175 cupcakes

The pendulum swings at an arc of 30 cm and its successive swings reduced to 10% of the previous swings. What is the total distance travelled by the pendulum after 5 swings? This problem is an example of what sequence?

Answers

Answer:

[tex]S_g= 33.333cm[/tex]

Step-by-step explanation:

From the question we are told that

Arc of 30 cm

10% reduction after each swing

Generally sum of geometric sequence is given by the equation

    [tex]S_g=\frac{a(1-r^n)}{1-r}[/tex]

Mathematically solving for total distance traveled we have

    [tex]S_g=\frac{30(1-(0.10^5)}{1-(0.10)}[/tex]

    [tex]S_g=\frac{30}{0.9}[/tex]

Therefore the total distance traveled  by the pendulum after 5 swings

    [tex]S_g= 33.333cm[/tex]

I need the equation that passes through the point

Answers

Answer:

y=4/3x+0

Step-by-step explanation:

slope intercept form works right?

y=mx+b

the m is the slope, and the problem gives us the slope. (4/3)

the b is the y intercept (where the line goes through the y) so on our coordinates, the second number is the y, so we have y=4/3x+b

HTH!!

Alicia, Quentin, and Rosalyn are siblings. Alicia is the oldest sibling. Quentin is four years younger than Alicia. Rosalyn is two years older than Quentin. The sum of the siblings’ ages, in years, is 48. How old is Alicia?

Answers

Answer:

Alicia is 18years

Quentin is 14years

Rosalyn is 16years

Step-by-step explanation:

Let the age of Alicia be x

Let the age of Quentin be y

Let the age of Rosalyn be z

If the sum of the siblings’ ages, in years, is 48 then;

x+y+z = 48.... 1

If Rosalyn is two years older than Quentin then;

z =y+2 ..... 2

Also if Quentin is four years younger than Alicia then;

y = x-4 ... 3

From 3:

x = y+4 ... 4

Substitute 2 and 4 into 1 to have:

y+4+y+y+2 = 48

3y + 6= 48

3y = 48-6

3y= 42

y = 14

Since x= y+4

x = 14+4

x = 18

Since z = y+2

z = 14+2

z = 16year

This means that;

Alicia is 18years

Quentin is 14years

Rosalyn is 16years

what is 8 x 23
+ 6
3 + 2

Answers

Answer:

8x23 +6+3+2 = 195

Step-by-step explanation:

used PEMDAS <3 hope this helps

195 would be your answer i’m pretty sure

4(46 + 3) + 2b = 3 (6 - 11)

Answers

Answer:

[tex]4(46 + 3) + 2b = 3(6 - 11) \\ 184 + 12 + 2b = 18 - 33 \\ 196 + 2b = - 15 \\ 2b = - 15 - 196 \\ \frac{2b}{2} = \frac{ - 211}{2} \\ b = - 105.5[/tex]

Who is drinking the fastest

Answers

Answer: Caiden

Step-by-step explanation:

For Caiden, at the second minute, the water is already at 7 ounces. However, Bella is still at 8 ounces. And Caiden is drinking at a speed of 2.5 ounces per minute while Bella is drinking at a speed of 2 ounces per minute.

Hope that helped!


2 sides of a triangle have measures of 5 inches and 11 inches which measure could be the length of the third side

Answers

Answer:

the third side must be greater than 6 but less than 16

Step-by-step explanation:

use triangle inequality theorem - 3 scenarios (one of which is discounted because it produces a negative and a side of a triangle cannot be negative)

5 + 11 > 3rd side (n)    n < 16

5 + n > 11       n > 6

11 + n > 5;   n > -6   discounted

When the British system of units was first developed, what was the most
common object used as a basis for measuring length?

A. Animals
B. The king's castle
C. The human body
D. Automobiles

Answers

Is the letter b ok bro

Which number is equivalent to?

Answers

So, we have 2^3/3^3
= 2^3/3^3 = 2 times 2 times 2/3 times 3 times 3
= 8/27
So, in conclusion, the final answer is 8/27 so, you should go with D 100%!

10x + 5 - 2x + 9x.

HELP IMMEDIATELY PLEASEEE​

Answers

Answer: 17x+5

Combine 10x to the 9x which would be 19x then subtract the 2x which gives you 17x+5

Answer: 17x+5

Step-by-step explanation:

10x+5-2x+9x

10x-2x+9x+5

17x+5

??????????????????????????????

Answers

Priya

Add not divide

Which of the following is equivalent to the image below

A: 6
B: 8
C: 12
D: 64

Answers

Answer: The answer is 8

Step-by-step explanation: first you solve 16 to the 1.5 power (3/2=1.5) and that gives you 64. Then 64 to the .5 power (1/2=.5) and that gives you 8.

a bus traveled for 540 miles in 12 hours. was it traveling at a faster or slower rate than the car? show your work to explain

Answers

how fast is the car going??? cuz the bus is going 45 mph

Answer:

It is at 45. So you need to determine is it faster of slower. You didn't put the whole question.

Step-by-step explanation:

helpppp!! right answer only pleaseee

Answers

Answer:

linear equation

Step-by-step explanation:

it's the only one that matches the description :)

The answer to this is linear equations hope this helps you

Help plss I will mark as brainlest if correct

Answers

Answer:

ok

Step-by-step explanation:

Answer:

if im not mistaken it should be y=0x+-3

Step-by-step explanation:

well i took the points -8.,0 an -3,0 an got the slope of 0 , so i did the formula y=mx+b m is slope wich is 0 so y=0x+? so i looked at where the line passes through the y axis an it went through at -3 therefore your answer is y=0x+-3

plz answer only if correct!!

Answers

Angle a is 55 X is -12

PLS PLS HELP ME I WILL GIVE BRAINLIST AND SO MANY POINTS PLS HELP ME

Answers

Answer:

Both are circle equations. One is for area, one is for circumference.

Step-by-step explanation:

Both are circle equations. One is for area, one is for circumference.

solve each inequality and graph the solution .

2x-8<4

Answers

Answer:

inequality is x < 6

Step-by-step explanation:

what is the ordered pair to y=7x-2

Answers

It would be (0,-2) I believe

The area of a rectangle is 1,872 ft2. The ratio of the length to the width is 9:13. Find the perimeter of the rectangle. A. 88 ft B. 117 ft C. 168 ft D. 176 ft

Answers

Answer:

Length = 36

Width = 52

Step-by-step explanation:

Area of rectangle = Length * width

Length = L ; Width = W

Area (A) = 1872 ft²

Ratio L:W = 9:13

Hence,

1872 = lw - - - (1)

l/w = 9/13 - - - (2)

From (2)

13l = 9w

l = (9/13)w - - (3)

Put (3) into (1)

1872 = (9/13)w * w

1872 = 9/13 w²

24336 = 9w²

24336 / 9 = w²

2704 = w²

w = 52

If w = 52

1872 = 52 * l

l = 1872 / 52

l = 36

Length = 36

Width = 52

A store buys an item for $94. The store then prices the item to sell to customers. What is the selling price (in dollars) the store sells the item to customers for after applying a 62% markup? If necessary, round the answer to the closest hundredth.

Answers

Answer:

$152.28

Step-by-step explanation:

In order to determine the markup, multiply the original price by 62%

94 x 62% = 94 x .62 = 58.28

In order to determine the sale price, add the markup to the original price.

94 + 58.28 = $152.28

4n - 3 = -2n + 9 when n = 2​

Answers

Answer:

Step-by-step explanation:

4n-3=-2n+9, we move the variables in one side and numbers on the other side

4n+2n=9+3

6n=12

divide by 2

n=2

Can anyone help solve this?

Answers

Answer: m∠XYQ = 122°

Step-by-step explanation:

m∠XYQ + m∠QYZ = 180°

(10a + 2) + (5a - 2) = 180

15a = 180

a = 12

m∠XYQ = 10a + 2

m∠XYQ = 10 (12) + 2 = 122

m∠XYQ = 122°

James drove to the lake and back the trip there took four hours and the trip back took six hours he average 20 mph faster on the trip there on on the return tip find Jameses average speed on the trip

Answers

Answer: 60 mph

Step-by-step explanation:

Question wants the speed to the lake.

It took James 4 hours to get to the lake and he drove at a speed 20 mph faster than when he came back.

It took him 6 hours to come back.

Assuming the speed James used on the return trip is x:

Expression for distance is:

4(x + 20) = 6x

4x + 80 = 6x

2x = 80

x = 80/2

x = 40 mph

Speed to the lake = 40 + 20

= 60 mph

Brainliest to right answer

Answers

Answer:

4,-2

Step-by-step explanation:

The line passes through the Y Axis and slopes 4 and -2.

Answer:

slope = - [tex]\frac{7}{4}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 4) and (x₂,y₂ ) = (1, - 3) ← 2 points on the line

m = [tex]\frac{-3-4}{1+3}[/tex] = - [tex]\frac{7}{4}[/tex]

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