A loading ramp is extended from the back of a truck to form a 30° angle with the ground. The truck and the ramp are both on level ground. If the length of the ramp is x feet, how high is the back of the truck from the ground?

A) 2x feet
B) x√3/2
C) x√3
D) x/2

Answers

Answer 1

Answer:

Height between ground and truck = 5.5 feet

Step-by-step explanation:

Given:

Angle of elevation = 30°

Length of the ramp = 11 feet

Find:

Height between ground and truck

Computation:

Length of the ramp = Hypotenuse

Height between ground and truck = Perpendicular

Sin θ = Perpendicular / Hypotenuse

Sin 30 = Height between ground and truck  / Length of the ramp

0.5 = Height between ground and truck  / 11

Height between ground and truck = 0.5 x 11

Height between ground and truck = 5.5 feet


Related Questions

Someone please help!!! It doesn’t make sense!! Find the value of 1/2 divided by 1/3. (A 1 and 1/2) (B 1 and 1/3) (C 1 and 2/3) that’s the options I have please help!!!

Answers

Answer:

A

Step-by-step explanation:

1/2 ÷ 1/3

Copy dot flip

1/2 × 3/1

1 × 3 / 2 × 1

3 / 2

3/2

Convert 3/2 into mixed number:

3/2 -> 1 1/2 because 3 fits into 2 evenly once, which leaves 1 remaining (for the denominator)

Pls answer quick I will name brainliets

Answers

Answer:

I'm sorry I don't know the answer to it

Find the equation of Y+9=13​

Answers

Answer:

Y = 4

Step-by-step explanation:

Y = 13 - 9Y = 4

that's all

I really need help on this problem I'm struggling please show me how to do it show WORK, please
14.4 = -2.4b

Answers

Answer:

b = -6

Step-by-step explanation:

14.4 = -2.4b (swap the sides of the equation)

-2.4b = 14.4 (divide both sides of the equation by -2.4)

b = -6


Evaluate the polynomial function when H=3
f(h)=4h^3-3h^2+5h-16

Answers

Answer:

80

Step-by-step explanation:

f(3)=4(3)^3-3(3)^2+5(3)-16

f(3)=4(3*3*3)-3(3*3)+15-16

f(3)=4(27)-3(9)+15-16

f(3)=108-27+15-16

f(3)=81+15-16

f(3)=96-16

f(3)=80

Classify the triangle with side lengths of 12, 16, 20

Answers

Answer:

The triangle is a right triangle

Step-by-step explanation:

We use the pythagorean Theorem which is a^2+b^2=c^2

Now we have 12^2+16^2=20^2

Solve: 144+256=400

400=400

Pryia and 3 friends go out to dinner and split the cost equally. The meal costs $98, tax is 9% and they leave a 20% tip based the cost of the meal. How much money does Pryia need?

Answers

Answer:

$42.14

Step-by-step explanation:

Given data

Cost of meal= $98

tax= 9%

Tip= 20%

Let us find the amount of the tax and the tip

Tax

=9/100*98

=0.09*98

=$8.82

Tip

=20/100*98

=0.2*98

=$19.6

Hence the total amount paid is

=98+8.82+19.6

=126.42

The amount paid by Pryia

=126.42/3

=$42.14

state four examples of hazard

Answers

Answer:

1. Physical Hazards

2. Ergonomic Hazards

3. Chemical Hazards

4. Biological Hazards

Step-by-step explanation:

Plz help! 20 points, correct answer will be marked brainliest :)
Miguel made 6 bracelets each day to sell at a craft fair. The function f gives the total number of bracelets Miguel made in x days. Which of the following could define f ?

Answers

Answer:

D) f(x) = 6x

Step-by-step explanation:

-2(+3)+4x-4=-14
solve for x pleaseeee

Answers

Answer:

-2(3) + 4x -4 =-14

-6 + 4x -4=-14

4x = -14 + 6 + 4

4x = -4

x=-1

To verify this...Input -1 into the original equation... You'd get -14

what is the area of this polygon on a coordinate plane ​

Answers

Answer:

16 sq units

Step-by-step explanation:

the area of the polygon =

(4×3)+(½×4×2)

= 12+4

= 16 sq units

1.) Oranges are on sale this week for 10% off. Oranges normally costs $1.80
per pound. If Aiden wants to buy 5.5 lbs of oranges this week, how much
will he pay?

Answers

Answer: $8.91

Step-by-step explanation:

A car wheel has a diameter of 27.1". How far will the car go when the wheels rotate 100 times?

Answers

Answer:

135.5"

Step-by-step explanation:

Answer:

8509.4

Step-by-step explanation:

The diameter has already been displayed so what I could simply do is solve the equation simply by using the formula for circumference using diameter (C=3.14 x 27.1) and that will get me 85.094 but thats how far it will get if it rotates 1 times so we must multiply it by 100 and move the decimal point 2 digits to the right and the final answer is 8509.4. 8509.4 (no mathematical unit) is how far the car can go when the wheels have a diameter of 27.1 and rotates 100 times.

Someone solve this for me please

Answers

Answer:

answer is 9.5 I hope you understand what I wrote

please help me I can't seem to get it

Answers

Answer:

I think (c) is the correct answer.

Step-by-step explanation:

The diagonals bisect each other.

Answer: The diagonals are congruent

Step-by-step explanation: (if this is wrong I am sorry) There are Different Types of Quadrilaterals

Trapezium.

Parallelogram.

Rectangle.

Rhombus.

Square.

Kite.

If this is wrong I am very sorry

The composite figure is made up of a cone and a half sphere. The radius of the half sphere is 6 cm. What is the volume of the composite figure? Use 3.14 for Pi. Round to the nearest hundredth.

A half sphere and cylinder. Both have a radius of 6 centimeters. The cone has a height of 12 centimeters.


Recall the formulas V = one-third B h and V = four-thirds pi r cubed
188.40 cubic centimeters
489.84 cubic centimeters
904.32 cubic centimeters
1,356.48 cubic centimeters

Answers

Given:

Radius of half sphere and cone = 6 cm

Height of cone = 12 cm

To find:

The volume of composite figure that is made up of a cone and a half sphere.

Solution:

Volume of half sphere is:

[tex]V_1=\dfrac{2}{3}\pi r^3[/tex]

Where r is the radius of the half sphere.

Putting [tex]\pi =3.14, r=6[/tex], we get

[tex]V_1=\dfrac{2}{3}(3.14)(6)^3[/tex]

[tex]V_1=\dfrac{6.28}{3}(216)[/tex]

[tex]V_1=452.16[/tex]

Volume of a cone is:

[tex]V_2=\pi r^2h[/tex]

Where r is the radius and h is the height of the cone.

Putting [tex]\pi =3.14, r=6, h=12[/tex], we get

[tex]V_2=(3.14)(6)^2(12)[/tex]

[tex]V_2=(3.14)(36)(12)[/tex]

[tex]V_2=1356.48[/tex]

Volume of the composite figure is:

[tex]V=V_1+V_2[/tex]

[tex]V=452.16+1356.48[/tex]

[tex]V=1808.64[/tex]

Therefore, the volume of a composite figure is 1808.64 cubic centimetres.

Note: All options are incorrect.

Answer: A

Step-by-step explanation:

Please help and please no links

Answers

120.

Trust me.  It is correct using a formula.

The speed of light is about 1.1 x 10^12 meters per hour. What is the number in meters per minute?

Answers

Answer:

Mansah obtained 150 mark out of 240 mark in an English test .what was her percentage score

the social studies teacher wants to know whether the students in the entire school prefer a model United Nations activity or a student government activity. The teacher draws a random sample from the following groups: All teachers in the school All boys in each grade All students in each grade All students in the social studies club Which group best represents the population he should take a random sample from to get the best results for his survey? ) Select one:
a. All teachers in the school
b. All boys in each grade
c. All students in each grade
d. All students in the social studies club
PLEASE HELP ME

Answers

C bc all of the students school wide need to be represented
C bc all the students school wide need to be represented

Share 180 in the ratio 3:2:1 *

Answers

Answer:

Ratio = 3:2:1

Let the Values be 3x:2x:x

3x+2x+x=180

=> 6x=180

=> x =180/6

=> x = 30

3×30=90

2×30=60

1×30=30

Mitch made a dot plot of the number of hours that students in his grade spent this week watching television.


Use the data to choose True or False for each statement.



Dot plot named as


A typical student from this group spends more than 10 hours watching television each week.


More students watch 3 hours of television than watch more than 3 hours of television.


All students watch 20 or fewer hours of television each week.


The most common answer for the number of hours that a student watches per week was 3.

Answers

Answer:

Part A

False

Part B

True

Part C

True

Part D

True

Step-by-step explanation:

A scatter diagram created with MS Excel shows the data as on the dot plot in a similar question obtained online

The number of students in the group = 92

Part A

The number of students that spend more than 10 hours watching television = 39

Therefore, given that less than half of the student spend more than 10 hours watching television, the statement is false

Part B

The number of students that watch 3 hours of television is the highest than any other time range with 16 students, therefore, the statement is true

Part C

The maximum hours watched by a student in the dot plot is 20 hours, therefore, the statement is true

Part D

The number of hours for which the student watched and which has the highest frequency is 3 hours, therefore, the statement is true as more students have 3 hours as the number of hours watched (16 students) than any other number of hours

101 divided by 2 plus 4

Answers

Answer:

54.5

Step-by-step explanation:

Answer:

54.5

Step-by-step explanation:

Hope this helps!! Do you need it in a fraction?

i need help please !!!

Answers

Answer:

1. it is given

2. the definition of angle bisector

3. the reflexive property

4. SAS

5. corresponding parts of congruent triangles are congruent

Find the circumference and area of the circle. Use 3.14 for π. Round to the nearest hundredth if necessary.
13m.

Answers

Answer:

81.64

Step-by-step explanation:

Answer:

Step-by-step explanation:

Please be explicit in labeling the radius.   I will assume y ou meant r = 13 m.

Circumference formula:  C  = 2πr; area formula:  A = πr²

Here, with r = 13 m, C = 2π(13 m) = 26π m = C = 81.68 m

and

with r = 13 m, A = π(13 m)^2 = 169π = A = 530.93 m^2

Is a triangle with side lengths of 10, 11, 14 a right triangle?

Answers

Answer:

no

Step-by-step explanation:

A right triangle has a formula a^2+b^2=c^2 with c being the longest side (hyponotuse). 10 squared is 100, 11 squared is 121, so add those and get 221. 14 squared is only 196 which is not equal to 221 so it is not a right triangle

Answer:

Yes

Step-by-step explanation:

2|5-10|-|-3| please provide a step by step explanation (:

Answers

[tex]\sf\purple{B.\:7}[/tex] ✅

Step-by-step explanation:

[tex]2 |5 - n| - | - 3| \\ = 2 |5 - 10| - 3 \\ = 2 \times 5 - 3 \\ = 10 - 3 \\= 7[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

There are 19 birds in a pond, all of which are ducks or geese. If the number of ducks in the pond is 1 more than twice the number of geese in the pond, how many geese are in the pond?

A. 6

B. 9

C. 10

D. 13

Answers

d I think d

Step-by-step explanation:

yayasjsjamaaak

pls help i need to know what x/-4 + 6 < 11 is?!?!!?!?!

Answers

Answer:

x ∈ ( - ∞ , 20 )

Step-by-step explanation:

Given :

x / 4 + 6 < 11

Adding - 11 both we get:

= > x / 4 + 6 - 11 < 11 - 11

= > x / 4 - 5 < 0

Multiply by 4 both we get:

= > x - 20 < 0

Adding 20 both side we get:

= > x - 20 + 20 < 20

= > x < 20

Solution set x ∈ ( - ∞ , 20 )

Hence we get required answer!

9514 1404 393

Answer:

  x > -20

Step-by-step explanation:

This is a "2-step" inequality with a negative coefficient.

  x/-4 +6 < 11 . . . . . given

  x/-4 < 5 . . . . . . . . subtract 6 from both sides

  x > -20 . . . . . . . . .multiply both sides by -4

Because the multiplier is negative, the sense of the comparison must be reversed.

_____

Check

  x = -24 should not be in the solution set: -24/-4 +6 < 11 ⇒ 12 < 11 . . . False

  x = -16 should be in the solution set: -16/-4 +6 < 11 ⇒ 10 < 11 . . . True

complete the simplified ratio:
0.2 : 3.75

Answers

Answer:

1: 18.75

Step-by-step explanation:

We multiply both sides by 5.

What is 0.2 percent (calculated percentage %) of number 3.75? Answer: 0.0075.

Emmanuel was charged $32 for a 14 2/9 km taxi ride. what was the cost per kilometer

Answers

Answer:

$2.25 Per Kilometer

Step-by-step explanation:

Divide the amount of Money that Emmanual Was charged with, And Divide the Amount of Kilometers of the taxi ride.

32 Divided by 14 2/9= $2.25 per Kilometer

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