You are flying a kite and want to know its angle of elevation. The string on the kite is 39 meters long and the kite is level with the top of a building that you know is 24 meters high. Find the angle of elevation of the kite
.a.58.392
b.37.980
c.31.608
d.52.020

Answers

Answer 1

Answer:

The correct option is (b).

Step-by-step explanation:

Given that,

The length of the string = 39 m

The kite is level with the top of a building that is 24 meters high.

We need to find the angle of elevation of the kite.

A right-angled triangle will form such that its hypotenuse is 39 m and height is 24 m. Using trigonometry to solve this.

[tex]\sin\theta=\dfrac{P}{H}\\\\\sin\theta=\dfrac{24}{39}\\\\\theta=\sin^{-1}\left(0.61538\right)\\\\\theta=37.98^{\circ}[/tex]

So, the angle of elevation of the kite is 37.97°. The correct option is (b).


Related Questions

78215431 in international system
78215431 in indian system

Answers

International - seven eight million two hundred fifteen thousand four hundred thirty one

Indian - seven crore eighty two lack fifteen thousand four hundred thirty one

78'215'431

7'82'15'431

Solve for x if:

y = 7
x = 5y + 2

Solve for y if:
k = 2
8k - 3y 10

Solve for y if:
m = 3
y = 5x - 15

Solve for x and y if:
y = -3x + 9
y = 8x - 2




Answers

Answer:

Step-by-step explanation:

Please the number given in place of its letter in your equation

x = 5y + 2 if y = 7

x = 5*7 + 2

x = 35 + 2

x = 37

Apply the same principle to the others

HELPP PLZZ
ASAP TYYY

Answers

Yes, this parabola is a function because it passes the vertical line test!

The vertical line test is a test where you move left to right over a graph, and look to see if there are any instances where the vertical line touches two points at the same time. If not, then the graph is a function!

Hope this helps!! :)

A 41 gram sample of a substance that's used to detect explosives has a k-value of 0.1392. Find the substance's half life, in days.

Answers

Answer:

The substance half-life is of 4.98 days.

Step-by-step explanation:

Equation for an amount of a decaying substance:

The equation for the amount of a substance that decay exponentially has the following format:

[tex]A(t) = A(0)e^{-kt}[/tex]

In which k is the decay rate, as a decimal.

k-value of 0.1392.

This means that:

[tex]A(t) = A(0)e^{-0.1392t}[/tex]

Find the substance's half life, in days.

This is t for which [tex]A(t) = 0.5A(0)[/tex]. So

[tex]A(t) = A(0)e^{-0.1392t}[/tex]

[tex]0.5A(0) = A(0)e^{-0.1392t}[/tex]

[tex]e^{-0.1392t} = 0.5[/tex]

[tex]\ln{e^{-0.1392t}} = \ln{0.5}[/tex]

[tex]-0.1392t = \ln{0.5}[/tex]

[tex]t = -\frac{\ln{0.5}}{0.1392}[/tex]

[tex]t = 4.98[/tex]

The substance half-life is of 4.98 days.

I need an Answer Immediately pls!!!!!!!!!

Answers

Answer:

2,033-993.50= 1039.50/74.25= 14

Step-by-step explanation:

not sure the exact equation but p would be 14 and you'd do something similar to that shown above

MORE MATH GENIUSES!!!!!!!!!!!!!!

Answers

Answer:

The friend caught the ball at 2 feet.

Step-by-step explanation:

1. False; the ball was not still in the air at 1 second the x-component of the vertex is 0.5.

2. False; the x-component of the vertex is 0.5

3. True; the ball was tossed at a height of 2 feet (when x=0, y=2), it is safe to assume the ball was caught at the same height.

4. False; when x = 0, y = 2.

An angle of a right triangle measures 65 degrees. If the length of the side opposite to the angle is 20 ft, what are the lengths of the two other sides?

Answers

Answer:

22.07 ft & 9.32 ft

Step-by-step explanation:

by sines rule :

20/sin 65° = r/sin 90° = y/sin 25°

r = 20×sin 90°/sin 65° = 20/0.9063

= 22.07 ft

y = 20×sin 25°/sin 65° =

20× 0.4226/0.9063

= 9.32 ft

how is the graph of y=8x^2-1 different from the graph y=8x^2

Answers

Answer:

The y-int is different -1 is the y-int.

Step-by-step explanation:

Ryan works part-time at a local department store.He earns 12.50 an hour . During a one week period he worked a total of 32 hours. What was Ryan's gross income for one week

Answers

Answer:

400

Step-by-step explanation:

12.50times 32

Mhanifa please help! This is late and I need to get it done ASAP or I will fail

Answers

Answer:

Use the ratio of corresponding sides of similar triangles.

#1

50 / x = x / 25x² = 50*25x = 25√2

#2

63 / x = x / (112 - 63)x² = 63*49x = 21√7

#3

100 / x = x / 8x² = 100*8x = 20√2

#4

x / 18 = 18 / 16x = 18*9/8x = 81/4

What is the answer to the photo down below

Answers

Answer:it's A

Step-by-step explanation:

1 foot to one yard ratio

Answers

Answer:

1 foot = 0.333333 yards

Explanation:

In order to find the conversion for feet to yards for any other rational number, multiply the foot variable by the 0.333333 yard variable.

Example:

3 · 0.333333 = 0.999999  , aka , three feet of rope equals nine tenths repeating

Need Help ASAP Hurry

Answers

Answer:

Step-by-step explanation:

1) Impossible, a six sided die can't have 8 if it's six sided

2) Unlikely, there isn't an equal amount of boys and girls, so it wouldn't be neither likely or unlikely or likely, or impossible

3) Likely, there are more birds than other animals

4) Neither likely nor unlikely, because there is an equal amount of short straws and long straws

solve -2 1/3 - (-5)=
A: 2 2/3
B: 3 2/3
C: 3 1/3
D: -7 1/3

Answers

Answer:

A. [tex]2\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]-2\frac{1}{3} -(-5)[/tex]

[tex]-2\frac{1}{3} +5[/tex]

Please help. How do you find cosine, sine, cosecant and secant with this triangle? ​

Answers

Hi there! You have to remember these 6 basic Trigonometric Ratios which are:

sine (sin) = opposite/hypotenusecosine (cos) = adjacent/hypotenusetangent (tan) = opposite/adjacentcosecant (cosec/csc) = hypotenuse/oppositesecant (sec) = hypotenuse/adjacentcotangent (cot) = adjacent/oppositecosecant is the reciprocal of sinesecant is the reciprocal of cosinecotangent is the reciprocal of tangent

Back to the question. Assuming that the question asks you to find the cosine, sine, cosecant and secant of angle theta.

What we have now are:

Trigonometric RatioAdjacent = 12Opposite = 10

Looks like we are missing the hypotenuse. Do you remember the Pythagorean Theorem? Recall it!

a²+b² = c²

Define that c-term is the hypotenuse. a-term and b-term can be defined as adjacent or opposite

Since we know the value of adjacent and opposite, we can use the formula to find the hypotenuse.

10²+12² = c²100+144 = c²244 = c²

Thus, the hypotenuse is:

[tex] \large \boxed{c = 2 \sqrt{61} }[/tex]

Now that we know all lengths of the triangle, we can find the ratio. Recall Trigonometric Ratio above! Therefore, the answers are:

cosine (cosθ) = adjacent/hypotenuse = 12/(261) = 6/61 = (661) / 61sine (sinθ) = opposite/hypotenuse = 10/(261) = 5/61 = (561) / 61cosecant (cscθ) is reciprocal of sine (sinθ). Hence, cscθ = (261/10) = 61/5secant (secθ) is reciprocal of cosine (cosθ). Hence, secθ = (261)/12 = 61/6

Questions can be asked through comment.

Furthermore, we can use Trigonometric Identity to find the hypotenuse instead of Pythagorean Theorem.

Hope this helps, and Happy Learning! :)

Multiply 81.5 and 3.5

Answers

Answer:

285.25

Step-by-step explanation:

Basically we multiply them as normal numbers so,

815*35 = 28525

Then we take the amount of spots each number had to the RIGHT of the decimal point

81.5 = 1

3.5 = 1

1+1= 2

So: 28525. move to the left 2 times to get 285.25

Find the inverse of function f. A.f-1(x)=7x+9 B.f-1(x)=1/9x-7/9 C.f-1(x)=7/9x-1/9 D.f-1(x)=-9x-7

Answers

Answer:

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Step-by-step explanation:

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gwjwogcwnsotw owners idiots ostsvsys is629csbn owing

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find all the possible of x for which of the below is true:

[tex] \frac{2x}{x + 3} + \frac{3}{x - 3} = \frac{8}{x^{2} - 9 } [/tex]

Answers

Answer:

x = [tex]\frac{1}{2}[/tex] , x = 1

Step-by-step explanation:

Given

[tex]\frac{2x}{x+3}[/tex] + [tex]\frac{3}{x-3}[/tex] = [tex]\frac{8}{x^2-9}[/tex] ← denominator is a difference of squares

[tex]\frac{2x}{x+3}[/tex] + [tex]\frac{3}{x-3}[/tex] = [tex]\frac{8}{(x+3)(x-3)}[/tex]

Multiply through by (x + 3)(x - 3) to clear the fractions

2x(x - 3) + 3(x + 3) = 8 ← distribute left side and simplify

2x² - 6x + 3x + 9 = 8

2x² - 3x + 9 = 8 ( subtract 8 from both sides )

2x² - 3x + 1 = 0 ← in standard form

(2x - 1)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

2x - 1 = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex]

x - 1 = 0 ⇒ x = 1

Andrew is thinking of a number. 30 more than 10 times a number is 90. Find Andrew's number.

Answers

Answer:

Step-by-step explanation:

90 = 10x+30

60 = 10x

6 = x

Nancy is going to do some painting in her room. The paint she is using costs $12.34 per gallon. It measures 11 feet by 13 feet and has an 8-foot tall ceiling. What is the total area she will paint

Answers

Answer: [tex]527\ ft^2[/tex]

Step-by-step explanation:

Given

Cost of paint is [tex]\$12.34\ \text{per gallon}[/tex]

Dimension of room is [tex]11\times 13\times 8\ ft^3[/tex]

There are five side of wall to be painted leaving only the floor

Area is given by

[tex]\Rightarrow 2[8\times 11+8\times 13]+11\times 13\\\Rightarrow 2\times 8[24]+143\\\Rightarrow 384+143\\\Rightarrow 527\ ft^2[/tex]

12 18 , 9 6, 2 ?

help plz i cant find the relationship

Answers

Answer:

12,18 6 inbetween

Step-by-step explanation:

fnd the value of x................

Answers

So to solve a,
You already have the first two answers which are 65 and 90. Since a tríenle always has to equal 180 you just add 65 and 90 and the subtract that number by 180 and that’s your other missing angle.
Both triangles are identical so you just have to insert the answers from the right triangle onto the left triangle.
A is the only one that I knew how to solve, sorry

help!! don’t know how to do it

Answers

Answer:

cot(x) + sec(x)

Step-by-step explanation:

[tex]\frac{(cos(x)+tan(x))}{sin(x)} \\\\\csc(x) = \frac{1}{sin(x)} \\\\csc(cos(x)+tan(x))\\\\(csc(x))(cos(x))= cot(x)\\\\(csc(x))(tan(x))=sec(x)\\[/tex]

Therefore, the expression equivalent to [tex]\frac{(cos(x)+tan(x))}{sin(x)}[/tex] is cot(x) + sec(x).

S.NO.1
देहाल
खरिद मुल्य)- रु. 60,000
नाफा (P%)=5
विक्रय मुल्य =?​

Answers

Answer:

विक्रय मुल्य=रु.63000

Step-by-step explanation:

खरिद मुल्य)- रु. 60,000 (cp)

नाफा (P%)=5 (p%)

विक्रय मुल्य =? (sp)

now,

sp=(100+p%)/100×cp

(100+5)/100×6000063000

so, sp is Rs 63000.

hope it helps.

stay safe healthy and happy.

The centre circle has a diameter of 3 cm and the difference in the radii of each larger circle is 4 cm. What is the circumference of the yellow circle? Use π=3.14

Answers

Circumference = 2×π× radius

Circumference = 2 × 3.14 × 3

Circumference = 18.84

Solution for the radius of a circle of radius 3 . I'm sorry if I made a mistake, I am not sure of the solution.

But is there a fee for the question?

These two laws can help you in the question:

Circumference = π× diameter of the circle. Circumference = 2×π× radius

The circumference of the yellow circle should be considered as the 18.84.

Calculation of the circumference of the yellow circle:

Since

The centre circle has a diameter of 3 cm and the difference in the radii of each larger circle is 4 cm

So here the circumference be like

= 2×π× radius

= 2 × 3.14 × 3

= 18.84

hence, The circumference of the yellow circle should be considered as the 18.84.

Learn more about circle here: https://brainly.com/question/2031248

Name all the quadrilaterals that have the given attributes

four congruent sides

Answers

Answer: A  Rhombus has 4 congruent sides .

Ted left at 8:00 a.m to walk to the dog park. It took him 30 minutes to get there.

what time did ted get to the dog park?

Answers

Answer:

8:30 am

Step-by-step explanation:

Answer:

8:30 a.m

Step-by-step explanation:

8:00

+ 30

_____

8:30 a.m

The water level in an ocean bay changes at an average rate of 3 meters per hour. At this rate, how many hours would it take for the water level to change 12 meters?

please help

Answers

Answer:

4 hours

Step-by-step explanation:

You divide 12 by 3 and the answer is 4.

hope this helped

hey! i’ll give brainliest please help

Answers

Answer:

D

Step-by-step explanation:

hey

Answer:

I thing answer is no. D .....

What is the value of x? Show your work.
Please help

Answers

Answer:

b=5√3

Step-by-step explanation:

Find the last side of the triangle using the Pythagorean theorem.

[tex]a^{2} +b^{2} =c^{2} \\5^{2} +b^{2} =10^{2} \\b^{2} =10^{2}-5^{2}\\\\b=5\sqrt{3}[/tex]

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