A wire makes a 70 degrees angle with the ground and is attached to the top of a 50 ft. antenna. How long is the wire?

Answers

Answer 1

Answer:

53.2 ft

Step-by-step explanation:

A wire makes a 70 degrees angle with the ground and is attached to the top of a 50 ft. antenna. How long is the wire?

We solve the above question using the Trigonometric function of Sine

sin theta = Opposite/Hypotenuse

Theta = 70°

Hypotenuse = x = Length of the wire

Opposite = 50ft antenna

Hence,

sin 70 = 50/x

Cross Multiply

50 = sin 70 × x

x = 50/sin 70

x = 53.208888624 ft

Approximately x = 53.2 ft

The length of the wire is 53.2 ft


Related Questions

In a right triangle, the measures of the two smaller angles are (3x+6) and (2x - 1)º. Find the measure of the smallest
angle in the triangle.
A. 170
B. 33°
C. 570
D. 90°

Answers

Answer:

B is the answer

Step-by-step explanation:

Since there is already a 90 degree angle in the right triangle, the other two angles must add up to 90.

[tex]3x + 6 + 2x - 1 = 90[/tex]

[tex]5x + 5 = 90[/tex]

[tex]5x = 85[/tex]

[tex]x = 17[/tex]

Plug 17 into both to find the smaller angle

[tex]3(17) + 6 = 57[/tex]

[tex]2(17) - 1 = 33[/tex]

[tex]33 < 57[/tex]

So 33 is the answer or B

Reflect across the x-axis.
A (-1, 6) B (5, 14) C (-1, 14)
Post Image Coordinates:
A’ ________ B’ ________ C’ ________

Answers

(-1,-6)
(5,-14)
(-1,-14)

Help Me Plz 24=6a Plz

Answers

Answer:

a = 4

Step-by-step explanation:

just divide 24 by 6

a = 4

Hope this helped! Have a nice day! Plz mark as brainliest!!! :D

-XxDeathshotxX

Answer:

If your solving for A, A=4

Step-by-step explanation:

Divide 6 on both sides

What is the value of x?
Enter your answer in the box.
units

Answers

Answer:

x = 28

Step-by-step explanation:

ΔARP ≈ ΔCRD

42/x = 57/(10+x)

cross-multiply:

42(10+x) = 57x

420 + 42x = 57x

420 = 15x

28 = x

Question 6
Which expression is equivalent to the expression shown?
2
7147²
712
17
716
77

Answers

Answer:

7^12

Step-by-step explanation:

if you are dividing the base numbers then you are subtracting the exponents

(pythagoras theorem | year 9)

Answers

Answer:

In this case, to prove what is required, we must use the Pythagorean theorem to find the diagonal of the square.

If the diagonal of the square is smaller than the diameter of the circle, then the square will fit perfectly in the circle without touching it.

Diagonal = Root ((7 ^ 2) + (7 ^ 2)) = 9.89 cm.

we observed that

9.89cm <11cm.

Therefore we show that:

the square will fit inside the circle without touching the edge of the circle

or

c^2 = a^2 + b^2 c^2 = 7^2 + 7^2 = 49 +49 c^2 = 98 c = sqrt 98 c = 9.8 cm c = diagonal of square (9.8 cm) and is less than the diameter of the circle (11 cm), so the square will fit inside the circle without touching the edge of the circle.

I hope this helps a little bit.

Please help!!!
I will mark you brainliest for the correct answer.
Please!!!!

Answers

Answer:

60°

Step-by-step explanation:

A straight line is 180°

<5 is 120°

180°-120°=60°

the answer is 60 degrees

please help me asap.

Answers

Answer:

21

Step-by-step explanation:

Yes I am here to help

The probability of winning a game is 25%. How many times should you expect to win if you play 20 times?
5 times
2 times

Answers

5 times.

Hope this helps!
5 times

Should be that i think

58 8.6 1.5.
What is the value of x in the figure
below?
I AM BEGGING YOU

Answers

Hey there!

The correct answer is 50 degrees.

To do this, we can figure out all the angles in the triangle. We know one angle: 45 degrees. To find the angle above that angle, we can use the 95 degrees and use linear angles to figure out that missing angle.

A linear pair adds up to 180 degrees, which means that 95 + (missing angle) = 180. 95 + 85 = 180. Therefore, we have two of the three angles in the triangle.

In a triangle, the number of angles adds up to 180 degrees, which means that 45 + 85 + (angle across from x) = 180. 45 + 85 + 50 = 180.

Now we have all the angles in the triangle.

With that information, we can use vertical angles to solve for x. If there are two lines that intersect, the angles opposite eachother are always equal. The angle opposite of x is 50; therefore x is equal to 50 degrees.

Have a terrificly amazing day! :D

Identify the area of the composite shape.
71 cm squared
98 cm squared
34 cm squared
56 cm squared
please answer correctly and help me not being rude

Answers

Step-by-step explanation:

[tex]2(14 \times 2) + ((7 - 4) \times (14 - 9)) = \\ = 28 \times 2 + (3 \times 5) = \\ = 56 + 15 = \\ = 71[/tex]

Compare 6*10^5 and 3*10^4

Answers

Answer: 6*10^5 > 3*10^4

Step-by-step explanation:

6*10^5 = 600000

3*10^4 = 30000

Please help me! No it doesn’t give me the numbers or the volume. If you help I will mark Brainliest!

Answers

The volume = LBH = x²y

.°. If a pyramid and a prism have the same base and height, their volumes are always in the ratio of 1/3xVolume of prism.

The volume of Pyramid = 1/3*y

h = 3 *1/3x²y/

h = 3*1/3x²y*1/

h = 3*1/3y

h= y

What is the volume of a right circular cone with a radius of 3 units and a height of 6 units?​ pleas help asap

Answers

Answer:

18 units

Step-by-step explanation:

Answer:

18 units

Step-by-step explanation:

Paula, the local baker, usually makes 1"5 loaves of bread and 10 cakes per day, but today she made 25 loaves of bread and 12 cakes. What is the percent increase far each bakery item?

Answers

Answer:

the percentage increase for bread and cake is 66.67% and 20% respectively  

Step-by-step explanation:

The computation of the percentage increase for each bakery item is shown below:

For bread

= (25  - 15) ÷ 15

= 66.67%

For cakes

= (12 - 10) ÷ (10)

= 20%

Hence, the percentage increase for bread and cake is 66.67% and 20% respectively  

Can the following properties of figures change when transformed with a rigid motion? Move each letter a-h to the appropriate box.


A. Side Lengths
B. Slope of a Side
C. Orientation
D. Area
E. Interior Angles
F. Location in the plane
G. Parallel Lines in the pre-image
H. Perimeter


Yes, Can Change No, Can't Change

Answers

John has consumed 1,600 calories so far today. He has also burned off 400 calories at the gym. He would like to keep his daily calorie total to 1,800 calories per day. How many calories does he have left to consume for the day? Is 1,000 a viable solution to this problem?

Can someone help me pls

Answers

Answer:

Where's the answer?

Step-by-step explanation:

find the area of the composite figure 12 yd height 10 yd base​

Answers

Answer:

120 yd^2

Step-by-step explanation:

1. 12x10= 120

2. 120 yd ^2

Two snails climbed up a tree at a constant rate. A person measured and recorded their respective distances above the ground. • Snail A was 12.5 inches above the ground at 10 minutes and 16 inches above the ground at 24 minutes. • Snail B started at 3 inches above the ground and climbed 0.3 inch per minute. The snails continued at the same speeds. • Determine the amount of time, in minutes, it took for the two snails to be the same distance above the ground. • Include an equation to represent each snail's distance above the ground, y, in terms of x, the minutes elapsed since the measurement started. Show your work or explain your answer.

Answers

Answer:

140 minutes

Step-by-step explanation:

Using m = (y₂ - y₁)/(x₂ - x₁) , we find the rate at which Snail A moves which is also the gradient of the line with which it moves. Given that Snail A was 12.5 inches above the ground at 10 minutes and 16 inches above the ground at 24 minutes, x₁ = 10 min, y₁ = 12.5 inches, x₂ = 24 min and y₂ = 16 inches.

So, m = (y₂ - y₁)/(x₂ - x₁)

m = (16 - 12.5)/(24 - 10) = 3.5/14 = 0.25

Also, the equation of the line,

(y - y₁)/(x - x₁) = m

(y - 12.5)/(x - 10) = 0.25

cross-multiplying, we have

y - 12.5 = 0.25(x - 10)

expanding the bracket, we have

y - 12.5 = 0.25x - 2.5

adding 12.5 to both sides, we have

y - 12.5 + 12.5 = 0.25x - 2.5 + 12.5

y = 0.25x + 10

Since Snail B started at 3 inches above the ground and climbed 0.3 inch per minute. The snails continued at the same speeds, its distance y moved is y = 0.3t + 3

We now find the time x it takes the snails to cover the same distance by equating both expressions. So,

0.25x + 10 = 0.3x + 3

collecting like terms, we have

10 - 3 = 0.3x - 0.25x

7 = 0.05x

0.05x = 7

x = 7/0.05

x = 140 minutes

The sales representative went to made a deal with the schools for a discount on the individual juice bottles the company usually sells the bottles to the distributors for $2.25 but they are selling them to the schools for 15% off for what price will they sell each bottle to the school?

Answers

Answer:

$1.91 per bottle :)

Step-by-step explanation:

Okay brain block alert what is 3 1/3 divided by 4 3/4

Answers

Answer:

31/3÷43/4

=31×4/43×3

=124/129

Answer:

40/57

Step-by-step explanation:

keep change flip.

change the mixed fractions to improper by multiplying the integer by the denominator and then add the numerator.

should give you an answer of 10/3 and 19/4

which when put into the fraction-division rule equals 40/57

PLEASE ANSWERS
Translate the description as an algebraic expression:
the difference of 4 and the absolute value of m

Answers

Answer:

[tex]4 - |m|[/tex]

Step-by-step explanation:

The two lines on each side of the m, signify that it is absolute value.

The difference of 4 and the absolute value of m, translates to 4 - |m|

Can someone help me please

Answers

Answer:

B

Step-by-step explanation:

sohcahtoa

sin = opp/hyp

sin A = 16/20= 4/5

29,58,116,... find the 71st term

Answers

Answer:

sorry it doesn't make sense to me either but here is a link to another one of the 71st things hopefully it helps :)

Step-by-step explanation:

https://brainly.com/question/15779922

Lin and Kal's ages add up to 41 Lin is 5 years older than Kal. Use the equation from the to find their ages.​

Answers

Kal is 18 Lin is 23 divide then subtract

Jack is building a square garden. Each side length measures 777 meters. Jack multiplies 7\times77×77, times, 7 to find the amount of space in his garden is equal to 494949 square meters. Which measurement does 494949 square meters represent? Choose 1 answer: Choose 1 answer: (Choice A) A Area (Choice B, Checked) B Perimeter (Choice C) C Length Stuck?Use a hint.

Answers

Answer:

The answer is choice A that is "Area".

Step-by-step explanation:

According to the area of the square [tex](A)= side^2[/tex]  

Given side =7

So, the area= [tex]7^2= 7 \times 7=49[/tex]  

Ryan has a 28 foot board. He needs to cut it into 24 equal length parts. How long should each section of the board be?

Answers

Answer:

1.17 feet

Step-by-step explanation:

28 ÷ 24 = 1.16666666667

round that and you get 1.17

1.17 feet I would think is the answer

PLZ use the information given to write the equation of the circle.
Center: (0,-16), Radius: √15


A: x2+(y+16)2 = 15−−√

B: (x+16)2+y2=15

C: x2+(y+16)2= 15

D: x2+(y−16)2 = 15

Answers

Answer:

x^2+(y+16)^2=15

Step-by-step explanation:

(x-0)^2+{y-(-16)}^e=(√15)^2

→x^2+(y+16)^2=15

Answer:

C. x² + (y + 16)² = 15

Step-by-step explanation:

Equation of circle:

(x - h) + (y - k) = r², where (h, k) is the center and r is the radius

We have:

h = 0, k = -16, r = √15

Substitute the given into the equation above and get the equation of the given circle:

(x - 0)² + (y - (16))² = (√15)² ⇒x² + (y + 16)² = 15

Correct choice is C

PLease help me. YOu'll get 10 points.\

Answers

Answer:

Option D is your answer . If I'm right so,

Please mark me as brainliest. thanks!!!


I need help with this question can someone help me please?

Answers

Answer:

The correct answer is option D

Hope this helped you! If it did help please consider giving brainliest!

Please do not forget to give a thanks and leave a rating!

Answer:

the answer is D Have a great day

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