Paisley is trying to find the height of a radio antenna on the roof of a local building. She stands at a horizontal distance of 22 meters from the building. The angle of elevation from her eyes to the roof (point A) is 29°, and the angle of elevation from her eyes to the top of the antenna (point B) is 42°. If her eyes are 1.74 meters from the ground, find the height of the antenna (the distance from point A to point B). Round your answer to the nearest meter if necessary.

Answers

Answer 1

Using the tangent ratio, the height of the antenna, to the nearest meter, is AB = 8 m.

What is the Tangent Ratio?

Tangent ratio is expressed as: tan ∅ = opposite/adjacent (TOA).

The information given has been sketched in the diagram attached below.

Find AC using the tangent ratio. Thus, we would have:

tan 29 = AC/CD

Substitute

tan 29 = AC/22

AC = tan 29 × 22 = 12.2 m.

Find BC using the tangent ratio:

tan 42 = BC/DC

Substitute

tan 42 = BC/22

BC = tan 42 × 22 = 19.8 m.

The height of the antenna, AB = BC - AC = 19.8 - 12.2 ≈ 8 m.

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Paisley Is Trying To Find The Height Of A Radio Antenna On The Roof Of A Local Building. She Stands At

Related Questions

Brianna started watching a movie at 2:45 p.m. If the movie is 2 hours and 32 minutes long, when will it be over?

Answers

Answer:

It will be over at 5:17 pm

Step-by-step explanation:

2:45 +32 would be 3:17, we add 2 hours it would be 5:17

Answer:

5:17 pm

Step-by-step explanation:

Since Brianna started watching a movie at 2:45 p.m and the movie is 2 hours and 32 minutes long

Thus,

2:45 + 2 and 32 Minutes

2 + 2 = 4

45 + 32 = 77 minutes

1 Hour = 60 Minutes

Thus, 77 - 60 =17

Hence, 4 + 1 = 5

Thus, the movie will be over at 5:17 Pm

~Lenvy~

please help me with this, I will give brainliest.

find the value of x round to the nearest 10th

Answers

[tex]\tan x = \dfrac{\text{Opposite}}{\text{Adjacent}}\\\\\implies \tan x = \dfrac{12}{6}\\\\\implies \tan x = 2\\\\\implies x = \tan^{-1} (2)=63.4^\circ[/tex]

Answer:

x ≈ 63.4°

Step-by-step explanation:

using the tangent ratio in the right triangle.

tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{12}{6}[/tex] = 2 , then

x = [tex]tan^{-1}[/tex] ( 2) ≈ 63.4° ( to the nearest tenth )

What is the most specific name for the figure?
A(-4a, -2a)
B(-9a, -2a)
C(-5a, a)
D(0, a)

A. Trapezoid
B. Rectangle
C. Square
D. Rhombus

Answers

Answer: D

Step-by-step explanation:

The quadrilateral will be a rhombus. Then the correct option is D.

What is the quadrilateral?

The definition of a quadrilateral is a planar form with four sides, four vertices, and four angles. Concave and convex are the two primary kinds.

Type of quadrilateral are:

Trapezoid.Rectangle.Parallelogram.Rhombus.Square.Kite.

The length of the side CD is given as,

CD² = (0 + 5a)² + (a - a)²

CD = 5a units

The length of the side BC is given as,

BC² = (- 5a + 9a)² + (a + 2a)²

BC² = (4a)² + (3a)²

BC² = 25a²

BC = 5a units

The length of the adjacent sides is equal. Then the quadrilateral will be a rhombus.

Thus, the correct option is D.

More about the quadrilateral link is given below.

https://brainly.com/question/29934291

#SPJ7

can someone help me with this question

Answers

A because you add the inside then multiple

So far, 907907907 of the 122312231223 voters have agreed to the new amendment.
Based on this data, what is a reasonable estimate of the probability that the next voter does not agree to the new amendment?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
\dfrac{316}{907}
907
316

start fraction, 316, divided by, 907, end fraction

(Choice B)
B
\dfrac{907}{1223}
1223
907

start fraction, 907, divided by, 1223, end fraction

(Choice C)
C
\dfrac{1223}{2130}
2130
1223

start fraction, 1223, divided by, 2130, end fraction

(Choice D)
D
\dfrac{316}{1223}
1223
316

Answers

Answer:

I do not know the answer but I need to answer a question to finish logging into brainly

Answer: 316/1223

Step-by-step explanation: I checked on khan

Find the value of x? thank you

Answers

Answer:

68

Step-by-step explanation:

A 5 sided shape total angles are equal to 540°

150 + 102 + 84 + x + 2x = 540

3x = 540 - 336

3x = 204

x = 68

The diagram shows a parallelogram.
The dotted line forms a right angle with side xy.
Use given information to find m Angle p.

Answers

Check the picture below.

I will give you more points if you give me the correct answer

Answers

Step-by-step explanation:

2000 <= (178 + S) + S

remember, they needed to collect at least 2000 cans.

S = the number of cans Shane collected.

the number of cans Abha collected is 178 more than S (the number of cans Shane collected).

and from there we get

2000 <= 178 + 2S

1822 <= 2S

911 <= S

so, the solution set is

S >= 911

and

Abha >= 1089

Find the value of x to the nearest tenth.
26.2
26.3
80.8
1,530

Answers

Answer:

x = 26.3

Step-by-step explanation:

There are three trigonometric rules that this question will apply to, they are:

[tex]Sin\theta\frac{opp}{hyp} Cos\theta\frac{adj}{hyp} Tan\theta\frac{opp}{adj}[/tex]

Where opp is the length of the side opposite to angle Φ, hyp is the hypotenuse of the triangle and adj is the length of a side adjacent to angle Φ.

In the provided picture, angle Φ has been provided alongside the hypotenuse with the opposite side length needing to be calculated. A trig function that includes all three of these must be used. The only one that does have all three is sin, ergo it is what we will use.

In the current equation form, the subject is incorrect and need to be changed so that it becomes the opposite side.

[tex]Sin\theta = \frac{opp}{hyp}\\ opp = sin\theta \cdot hyp[/tex]

Plug the known values in:

[tex]x = Sin(18\textdegree) \cdot 85\\x = 0.3090169 \cdot 85\\x = 26.266\\x = 26.3[/tex]

Hope this helps!

Type the correct answer in the box. round your answer to the nearest tenth. events m and n are independent events. in this scenario, if p(m) = 0.46 and p(m and n) = 0.138, then p(n) = .

Answers

The probability helps us to know the chances of an event occurring. The probability of event n occurring is 0.3.

What is Probability?

The probability helps us to know the chances of an event occurring.

[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

We know that for two independent events the probability of the two events occurring simultaneously is written as,

[tex]P(A \cap B) = P(A)\cdot P(B)[/tex]

Now, as we know the probability of event m occurring also we know the probability of both events occurring simultaneously, therefore, the probability of event n occurring can be written as,

[tex]P(A \cap B) = P(A)\cdot P(B)\\\\P(m \cap n) = P(m)\cdot P(n)\\\\0.138 = 0.46 \times P(n)\\\\P(n) = 0.3[/tex]

Hence, the probability of event n occurring is 0.3.

Learn more about Probability:

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F(x)=f(x-1)+2x+1 if f(2) =17 what’s f(1)

Answers

Answer:

f(1) = 12

Step-by-step explanation:

We know that f(x)=f(x-1)+2x+1

We are told that f(2) = 17

Use the first equation to calculate f(1).  Since f(2) is known and f(x-1) will become f(1) after f(2-1) is simplified to f(1).

17 = f(2-1)+2*2+1

f(2-1) = 17 - 5

f(1) = 12

The point (6, - 5) is reflected across the y axis what is the new point

Answers

Answer:

  (-6, -5)

Step-by-step explanation:

Reflection across the y-axis leaves the point on the same horizontal line, but with the sign of its x-coordinate changed.

  (x, y) ⇒ (-x, y) . . . . . reflection across the y-axis

  (6, -5) ⇒ (-6, -5)

The image point is (-6, -5).

Solve this system of equations.
3x + 4y = 36
y = -1/2x + 8
What is x?​

Answers

Answer: Between 1 and 3.

Step-by-step explanation:

You have to Think about y too, y can be anything, but let's say y is 1. Then x should be 3

x = 4, y = 6

In this case, you can solve the equation by substitution.

3x + 4y = 36

We are given that y = -1/2x + 8

Plug in that value assigned to y.

3x + 4(-1/2x + 8) = 36

3x -2x + 32 = 36

x + 32 = 36

x = 4

Now, we can return back to y

y = -1/2x + 8

y = -1/2(4) + 8

y = -2 + 8

y = 6

Mathh question helppp

Answers

Answer:

60% test score

Step-by-step explanation:

When x is 6, y is 60

I need help with this please extra points for the help.

Answers

Answer:

1/3

explanation:

there are total 6 colour boxes.among which 2 are red

so probability:

2/61/3

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Number of Favorable outcomes (red)= 2

Total outcomes = 6

So, the probability of getting red is :

[tex]\qquad \sf  \dashrightarrow \: \dfrac{2}{6} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{1}{3} [/tex]

[tex]・ .━━━━━━━†━━━━━━━━━.・[/tex]

A spinner has 4 equal sections. after spinning the spinner 15 times, the results are recorded in a table. which of the given statements is true? a. the theoretical probability of landing on violet is 1/3. b. the experimental probability of landing on red is 1/5. c. the experimental probability of landing on yellow is 1. d. the theoretical probability of landing on orange is 1/5.

Answers

Answer:

d

Step-by-step explanation:

Answer: The answer is B.) The experimental probability of landing on red is 1/5.

Step-by-step explanation:

Have a great day

HELP ME PLS. brainy reward it is about hangers.
The Problem: 20/3x = 5(x+1/2) + 4/3

20/3 , 1/2 , 4/3 are fractions. Solve for x

Answers

Answer:

x=23/10

Step-by-step explanation:

the dash is a fraction

Write an equation of the line passing through the points ( -5, -25 ),(0,0), and( 3,15)?




Please help me with this question

Answers

Answer:

Y=5X because the slope is 5 and the Y-intercept is 0

The area of the triangle below is 4.06 square meters. What is the length of the base?

Answers

S=0,5ha

4.06=0,5ha

ha=8.12

a=8.12/h

How many factors of 1000 can be divided by 20 without a remainder?

Answers

Answer: 6

Step-by-step explanation:

PLEASE HURRY

Solve the inequality and express your answer in interval notation.
x2 + 8x-7<0

Answers

It’s A or C
I’m not sure if you’re supposed to use brackets or parentheses

A cone has a volume 8pie cubic inches. And 6in height

What is the radius of the cone?
inches

Answers

Answer:

r=1.3in

Step-by-step

hope this helps:)

The area of the triangle below is 17.39 square inches. What is the length of the base?

Height 3.7

Answers

A= bh/2
17.39=3.7b/2
3.7b=34.78
B=9.4 inches the base of the triangle is about 9.4 inches.

|1/2- x/3|=5/6. Solve for x. There is (most likely) 2 answers

Answers

Answer:

Ans is -1

Step-by-step explanation:

Hope the picture will help you..

Please Help! Will Give Brainlest!

Answers

Answer:

[tex] \frac{ - \sqrt{3} }{2} [/tex]

Step-by-step explanation:

First, we find the coterminal angle of

[tex] \frac{ - 8\pi}{3} [/tex]

to do that, first, convert this into degrees.

[tex] \frac{ - 8\pi}{3} \times \frac{180}{\pi} = - 480[/tex]

Know, continously add 360 until we get our first positve number,

[tex] - 480 + 360 = - 120[/tex]

[tex] - 120 + 360 = 240[/tex]

So our coterminal angle is 240.

We need to know sin (240), the y value of sin (240) will gives us our answer.

That answer is

[tex] \frac{ - \sqrt{3} }{2} [/tex]

During which time period was the ANNUAL rate of increase of the speed the GREATEST

Answers

Answer:

1-2

Step-by-step explanation: because it went up in speed by 8 and the rest went up not even to 7

Based on the table, we can deduce that the annual rate of increase of the speed was the greatest: A. from year 1 to year 2.

What is speed?

Speed can be defined as the distance covered by an object per unit of time. Thus, speed can be measured as meter per seconds.

Mathematically, speed is given by this formula;

[tex]Speed = \frac{distance}{time}[/tex]

Based on the table, we can deduce that the annual rate of increase of the speed was the greatest from year 1 to year 2.

Rate = 46 - 38 = 8.

Read more on speed here: brainly.com/question/10545161

can anyone help on this??

Answers

Answer:

For number 7 it was c which is the pink man

Step-by-step explanation:

Answer:

Runner A won the race, Runner C took a break for 4 seconds, it took Bob 10.5 seconds because his green line hits the top at the same line as 10.5 seconds

Find the area of the rectangle or square 19 3 km and 38.4 km.

Answers

Answer:

Area of rectangle is 741.12km^2

Area of square is 1474.56km^2

Step-by-step explanation:

Formula for Area of a rectangle= length x breadth

Area = l x b = 19.3 km x 38.4 km (substitute the numbers)

Area = 741 km^2

OR

Area of square = length x length

Area = l x l = 38.4 x 38.4

Area = 1474.56 km^2

On a football field, the left and right tackles are lined up on the same yard line. A linebacker is 15 yards away from that yard line. The angles of the lines of sight of the tackles to the linebacker that are made with the yard line are shown in the diagram. Approximately how far apart are the left and right tackles?

Answers

Answer:

D. 39.3 yd

Step-by-step explanation:

Left tackle:

tan 35° = 15/x

x = 15/tan 35°

x = 21.42

Right tackle:

tan 40° = 15/x

x = 15/tan 40°

x = 17.88

x + y = 39.3

Answer: D. 39.3 yd

Your class of 96 students is going on a field trip to the aquarium.
You filled one school bus, and the second school bus had 6 seats left
over. Write and solve an equation to determine how many students
s can fit on one school bus.

Answers

Answer:

54 in one bus

Step-by-step explanation:

96/2=48

48+6=54

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