Students are trying to determine the height of the flagpole at Arlington High. They have measured out a horizontal distance of 40 feet from the flagpole and site the top of it at an angle of elevation of 52o. What is the height, h, of the flagpole? Round your answer to the nearest tenth of a foot.

Answers

Answer 1

Answer:

51.2feet

Step-by-step explanation:

Given;

Horizontal distance = 40feet (Adjacent)

Angle of elevation = 52 degrees

Required

Height of the pole H (Opposite)

Using the SOH CAH TOA identity

Tan theta = opp/adj

Tan 52 = H/40

H = 40tan 52

H = 40(1.2799)

H = 51.2 feet

Hence height, h, of the flagpole to the nearest tenth is 51.2feet


Related Questions

The surface area of a three-dimensional figure is the sum of the areas of all its surfaces.
true or false?

Answers

Answer:

TRUE

Step-by-step explanation:

After spending some time looking for his pump, Marlon pumps up an uninflated balloon, pumping air into it at a constant rate. He ties the balloon with a string to prevent the air from escaping.
Which graph could represent this scenario?

Answers

Answer:

Graph D

Step-by-step explanation:

Initially, Marlon was looking for his pump. Thus, no air was pumped into the balloon until he got the pump. On getting the pump, he inflated the balloon with air at a constant rate, after which he tied it with a string to prevent the air from escaping.

The analysis is that, at the time he decided to inflate the balloon till he got a pump, the volume of air in the balloon is zero with respect to time. Pumping air at a steady rate into the balloon increases the volume of air flowing into it gradually and steadily.

When the volume got to a definite amount, he stopped pumping air and tied with a string. Thus, the volume of air in the balloon remains constant.

If y = 12 when x = 3, find x when y = 6.
I need this by tonight I don’t understand this part of my work

Answers

Answer:

X would equal 1.5

Step-by-step explanation:

if 12 divided by 2 equals 6, then you have to find what's half of 3 which is 1.5

Pleassssseee heelelllppp

Samantha and her children went into a grocery store and she bought $7 worth of bananas and peaches. Each banana costs $0.40 and each peach costs $0.50. She bought a total of 15 bananas and peaches altogether. Determine the number of bananas and the number of peaches that Samantha bought.

Answers

Answer:

Ten Peaches and five bananas.

Step-by-step explanation

To solve the problem increase the cost by adding more peaches and less by adding more bananas

7 peaches = 3.50

8 bananas = 3.20 + 3.50 = 6.70

We need 30 more cents so add three more peaches

10 peaches = 5

5 x 0.4 = 2

2 + 5 = 7

john ran 6 1/2 miles. Ben ran half the distance that John ran. Sara ran a total of 4.75 miles. What was the total distance combined of all three numbers

Answers

John ran 6 1/2. Ben ran half of that, so he had run 3 1/4 and Sarah ran 4.75 miles. Add those up and you get 14.5

Can I have brainllest

Give one example to show the volume is 24cm^3

Answers

Answer:

a cube with length 8 cm on each side

Question 5 options:
The radius of a circle is 18.4 inches. The circle's circumference is about ___ inches.

Use 3.14 for ​.

Answers

The circumstance is about 115. 61 inches. Hope that helps!

. Which function's graph has a vertex at (-1, -3) and contains the point (2, 15)?
HELPPP PLEASEE

Answers

Answer:

2(x+1)²-3

Step-by-step explanation:

Using the vertex formula we can write the follwoing equation

y=a(x+1)²-3

We need to solve for a

we know that when x= 2 y = 15

So we can write

15=a(2+1)²-3

15=9a-3

18=9a

a=2

Which means our final equation is

2(x+1)²-3

in standard form (just in case)

2x²+4x-1

4 minus 1.2
what is it 2.8 instead of 3.2? ​

Answers

Answer:

2.8 is correct

Step-by-step explanation:

  4.0

-   1.2

The 0 becomes 10

10 - 2 = 8

The 4 becomes 3

3 - 1 =2

2.8

Can someone please help me with math

Answers

Answer:

Number 2 is C. 7

Step-by-step explanation:

You have to multiply 5 and 3 you will get 15 then take 15 from 43 you will get 28 then dived 28 by 4 you will get 7.

For Question 2 the answer is C. 7 hope it helps

A figure was created using a triangle and a semicircle. The diameter of the semicircle measures 8 cm and the height of the triangle measures 7 cm. Which measurement is closest to the area of the figure in square centimeters?

Answers

Answer: 53 cm

Step-by-step explanation:

Answer: 53 cm

Step-by-step explanation:

Ordena los términos del 1 al 5, de tal manera que
cada término se construya del término (s) anterio
Explica por qué cada figura está en el lugar que
eliges. Los términos son: cuadrilátero, cuadrado
rombo, rectángulo y paralelogramo​

Answers

Answer:

El orden es;

1) Cuadrilátero, 2) Rombo, 3) Paralelogramo, 4) Rectángulo, 5) Cuadrado

Step-by-step explanation:

Los términos dados son;

Cuadrilátero; Una forma con cuatro lados

Rombo; Un cuadrilátero con cuatro lados iguales

Cuadrado; Un cuadrilátero con cuatro lados iguales y cuatro ángulos iguales y dos lados paralelos opuestos

Rectángulo; Un cuadrilátero con cuatro ángulos rectos y dos lados paralelos opuestos

Paralelogramo; Un cuadrilátero con un par de lados paralelos opuestos

Observamos que todos los términos son cuadriláteros, por lo tanto, el cuadrilátero es el primer término

Por lo tanto, tenemos,

La primera forma es el cuadrilátero,

El cuadrilátero se transforma en un rombo (un cuadrilátero con lados iguales)

El ángulo del rombo se ajusta para dar un paralelogramo

El ángulo de paralelogramo dado cuatro ángulos iguales de 90 ° para dar un rectángulo

El rectángulo se ajusta para dar un cuadrado con todos los lados iguales

A car dealership is offering a 3% apr for 48 months with no down payment required. You would like to purchase a card that costs $16,900 including taxes tag and title. If you take advantage of the offer, what is the actual cost of the car in dollars? NO LINKS PLS-
17,955
18,928
67,769
81,323

Answers

Answer:

C

Step-by-step explanation:

I JUST TOOK THE TEST SON!

Pls help! Will give brainliest

Answers

first is -1 and 4, second should be no solution and the third is 2 and 6

An angle measures 32° less than the measure of its complementary angle. What is the
measure of each angle?

Answers

Answer:

First angle = x

Second angle = x - 32

We know that, complementary angles form => 90°

So,

[tex]x + x - 32= 90 \\ 2x = 90 + 32 \\ 2x = 122 \\ x = \frac{122}{2} \\ x = 61[/tex]

First angle,

=> x = 61°

Second angle

[tex]x - 32 \\ = 61 - 32 \\ = 29[/tex]

Second angle,

=> 29°

(≧▽≦)

Pls help! Will give brainliest!!

Answers

0
-5
-10
-15


Multiply each number by -5

Answer:

F(0)=3(0)-5

 F(0)= 0-5

    F(0)=5

__________

F(1)= 3(1)-5

 F(1)= 3-5

  F(1)=  -2

____________

F(2)=3(2)-5

F(2)= 6-5

F(2)= 1

____________

F(3)= 3(3)-5

F(3)= 9-5

F(3)= 4

____________

Step-by-step explanation:

plz like and rate it took me time

Concept 10.3: Find the area of the shaded sector. Round to the nearest tenth.

Answers

Answer:

c

Step-by-step explanation:

Step-by-step explanation:

Here's your solution

=> area of circle = πr^2

,=> area = (22/7)*6*6

=> area = 113.04 insq

=> area of sector =( πr^2*8°)/360°

=> area of sector = 2.51 insq

=> area of shaded region = 113.04 - 2.51

=> area = 110.53 in.sq

hope it helps

PLEASE ANSWER THESE QUESTIONS PLZ ILL GIVE BRAINLIEST ANSWER

Answers

DP NOT CLICK THE LINKS

how do i solve f^2+3f-5=0

Answers

Answer:

[tex] x = \dfrac{3+\sqrt{29}}{2},\dfrac{3-\sqrt{29}}{2}[/tex]

Step-by-step explanation:

This kinda Questions can be easily done using the Quadratic formula or Shreedhacharya's Formula . Which is used to find the roots of a quadratic equation in Standard form of ax² + bx +c = 0 .

Wrt . Standard form ,

[tex]\implies x = \dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\implies x = \dfrac{-3\pm \sqrt{3^2-4(1)(5)}}{2(1)}\\\\\implies x = \dfrac{-3\pm \sqrt{9+20}}{2} \\\\\implies \boxed{\boxed{ x = \dfrac{3+\sqrt{29}}{2},\dfrac{3-\sqrt{29}}{2}}}[/tex]

This is our required answer.

PLEASE HELP IT IS AN EMERGENCY! I WILL GIVE BRAINLIEST!

Answers

Answer:

volume = 1056 in³

Step-by-step explanation:

area of face = (2 x 6 x 7) + (6 x 8) = 132 in²

volume = 132 x 8 = 1056 in³

Find the volume of the cylinder with the radius of 1.5 inches and the height of 8 inches.

Answers

Answer:

56.55 in.

Step-by-step explanation:

Answer:

volume= 56.55

plz mark me as brainliest

John gave away 20% of his savings to Charlie he gave away $80 how much did John have in his savings. PLSSSS HEELPP​

Answers

Answer:

$400

Step-by-step explanation:

20% = 1/5

$80 x 5 = $400

Which measurements could not represent the side lengths of a right triangle?
A 6 cm, 8 cm, 10 cm
B В
12 cm, 35 cm, 37 cm
C 4 cm, 6 cm, 10 cm
10 cm, 24 cm, 26 cm

Answers

Answer: C

Step-by-step explanation: a^2 + b^2 = c^2

A. 6^2 + 8^2 = 10^2

B. 12^2 + 35^2 = 37^2

C. 4^2 + 6^2 does not equal 10^2.....(16 + 36 = 52   10^2 = 100)

D. 10^2 + 24^2 = 26^2

The measures of the triangles 4 cm, 6 cm, and 10 cm do not represent a right angle triangle because it does not follow the Pythagoras theorem option (C) is correct.

What is a right-angle triangle?

It is defined as a triangle in which one angle is 90 degrees and the other two angles are acute angles. In a right-angled triangle, the name of the sides are hypotenuse, perpendicular, and base.

For the triangle sides:

6 cm, 8 cm, and 10 cm

From the Pythagoras theorem:

[tex]10^2=8^2+6^2[/tex]

100 = 100

These sides satisfy the Pythagoras formula.

For the triangle sides:

12 cm, 35 cm, and 37 cm

From the Pythagoras theorem:

[tex]37^2=35^2+12^2[/tex]

1369 = 1369

These sides satisfy the Pythagoras formula.

For the triangle sides:

4 cm, 6 cm, and 10 cm

From the Pythagoras theorem:

[tex]10^2=6^2+4^2[/tex]

100 ≠ 52

These sides do not satisfy the Pythagoras formula.

For the triangle sides:

10 cm, 24 cm, and 26 cm

From the Pythagoras theorem:

[tex]26^2=24^2+10^2[/tex]

676 =  676

These sides satisfy the Pythagoras formula.

Thus, the measures of the triangles 4 cm, 6 cm, and 10 cm do not represent a right angle triangle because it does not follow the Pythagoras theorem option (C) is correct.

Learn more about the right angle triangle here:

brainly.com/question/3770177

#SPJ2

PLS HWELPPP ILL GIVE BRAINLIEST + EXTRA POINTS

Answers

Answer:

container y can hold 12.56 more salt

Step-by-step explanation:pls brainlist

There are 10 circles and 6 squares. What is the simplest ratio of squares to circles? Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

3:5 because for every three squares their are 5 circle.

Answer:

6:16 :)

Step-by-step explanation:

Anybody help me please!!!!!!!!!!

Answers

Answer:

reflection over the line y = -x

Answer:

the answer is D

a clockwise rotation 270 about the origin

Find the surface area of the figure below.​

Answers

Answer:

696.8 mm^2

Step-by-step explanation:

Well first lets find the bottom part of the square first.

13*13= 169

Thats the floor

13*5= 65

Thats 1 of the sides

there are 4 sides

65*4= 260

260+169= 429

Now find the triangle

(13*10.3) / 2

You’d get 66.95

66.95 *4 since there are 4 sides

You’d get 267.80

267.8+429= 696.8

pleas e help !?!?!!j

Answers

Answer:

see explanation

Step-by-step explanation:

step 2 : 4x + 4 - 2x = - 6x + 6 + 14

Simplify both sides by collecting like terms ← what was done

step 3 : 2x + 4 = - 6x + 20

------------------------------------------

step 4 : 8x + 4 = 20

Subtract 4 from both sides ← what was done

8x = 16

Please help me I love u

Answers

Answer:

8.04 meters

Step-by-step explanation:

The perimeter is the area around a shape. Each side is 1.34 meters. There are six equal sides (indicated by the single dash on each side).

[tex]1.34*6=8.04[/tex]

I think 8.04. Let me know if I’m wrong. Have a great day❤️

URGENT!!!!!!!! PLEASE HELP ASAP TIMED!!!!!!!!!!!!!!! HELP!!!!!!!!!!!!!!!!!

Answers

Answer:

The values of x and y are 23.83 and 31.1.

Step-by-step explanation:

Given that,

Perpendicular = 20 units

Angle, [tex]\theta=40^{\circ}[/tex]

We need to find the values of x and y.

Using trigonometry,

[tex]\tan(40)=\dfrac{20}{x}\\\\x=\dfrac{20}{\tan(40)}\\\\x=23.83[/tex]

To find y use Pythagoras theorem,

[tex]y^2=23.83^2+20^2\\\\y=31.1[/tex]

So, the values of x and y are 23.83 and 31.1.

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