Need help with this trigonometry word problem
A kite is flying at a height of 65 m attached to a string. If the inclination of the string with the ground is 31°, find the length of string.
Show your work please

Answers

Answer 1

Answer:

let KL be the string PL be perpendicular distance between them. and KL be height of kite flying.

in right angled triangle

relationship between perpendicular and hypotenuse is given by sin angle

sin 31°=p/h

h=65/sin31

KP=126.2m

the length of string is 126.2m

Need Help With This Trigonometry Word Problem A Kite Is Flying At A Height Of 65 M Attached To A String.
Answer 2

Answer:

127.45 m

Step-by-step explanation:

Given :-

Height of kite = 65 m .Inclination of string = 31° .

To Find :-

The length of the string .

Solution :-

Here we need to find out the length of the string here if we imagine a right angle triangle in which the height of the kite will be the perpendicular of the triangle and the length of the string will be the hypotenuse of triangle .

And the angle between the the string and the ground will be 31°.

Here we can use ratio of sine as ,

> sin∅ = p/h

> sin 31° = 65m/ h

> h = 65m/sin 31°

> h = 65m/0.51

> h = 127 .45 m


Related Questions

A cake has two layers. Each layer
is a regular hexagonal prism. A slice removes one face of
each prism, as shown.
a. What is the volume of the slice?
b. What is the volume of the remaining cake?

Answers

Answer:

Volume of slice is  40 in³

Volume of the remaining cake is 197.014 in³

Step-by-step explanation:

hope this helps!!

brainliest please?

hey if ur good at algebra... plz help meh

ty

Answers

Im not for sure.. but I think it would be something like 3,9

Answer:

We rearrange the first equation into y = 8x - 42 and we substitute it in to get

-4x - 6 = 8x - 42 so 12x = 36 so

x = 3 and y = -18

hope this helps and brainliest please

The cross country team practice by jogging on town steerts the average jogging rate is 6 mile per hour one member jogged for 3.5 hours one weekend how many miles did the team member jogged

Answers

Answer:

6mile + hour + 3.5 hours + miles

Step-by-step explanation:

add the expressions

Work out the volume of this cylinder? 12m height and 5m radius

Answers

Answer:

942m³

Step-by-step explanation:

π×radius²×height

π×5²×12=942.4777961m²

to 3sf it's

942m³

3 significant figures is 3 numbers.

Question :-

What is the volume of a cylinder with a radius of 5 m and a height of 12 m?

Answer :-

The volume of a cylinder is 942 m³.

[tex] \rule{180pt}{4pt}[/tex]

Diagram :-

[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{5 \: m}}\put(9,17.5){\sf{12 \: m}}\end{picture}[/tex]

Solution :-

As per provided information in the given question, we have been given that the Radius of a cylinder is 5 meters. The height of a cylinder is 12 meters. We have been asked to find the volume of a cylinder.

To calculate the volume of a cylinder, we will apply the formula below :-

[tex] \bigstar \: \: \: \boxed{ \sf{ \: \: Volume_{(Cylinder)} = \pi r^2 h \: \: }}[/tex]

Substitute the given values into the above formula and solve for Volume :-

[tex]\sf:\implies Volume_{(Cylinder)} = \pi r^2 h[/tex]

[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(5 \: m)^2(12 \: m)[/tex]

[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(25 \:m^2)(12 \: m)[/tex]

[tex]\sf:\implies Volume_{(Cylinder)} = (78.5 \:m^2)(12 \:m)[/tex]

[tex]\sf:\implies\bold{Volume_{(Cylinder)} = 942 \: m^3}[/tex]

Therefore :-

The volume of a cylinder is 942 m³.

[tex]\\[/tex]

Learn more about the Volume of a Cylinder at https://brainly.com/question/15197979

Have a great day! <33

Draw a conclusion is the statment below always, sometimes, or never true ? Bive at least two examples to support your reasoning. The lcm of two numbers is the product of the two number discuss your conclusion with a partner

Answers

Answer:

Sometimes

Step-by-step explanation:

Example 1:

Take two numbers as [tex]7,8[/tex]

LCM of [tex]7,8=7(8)=56[/tex]

In this case, the lcm of two numbers is equal to the product of the two numbers.

Example 2:

Take two numbers as [tex]6,3[/tex]

[tex]6=3(2)[/tex]

So,

LCM of [tex]6,3=3(2)=6[/tex]

In this case, the lcm of two numbers is not equal to the product of the two numbers.

Therefore,

Sometimes, the lcm of two numbers is equal to the product of the two numbers.

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Answers

Bro do that u r self ahahahahaha jk butbits too much

Need help with this trigonometry word problem
From the top of the tower 30 m height a man is observing the base of a tree at an angle of depression measuring 30 degree. Find the distance between the tree and the tower.
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Answers

Answer:

  30√3 m ≈ 52 m

Step-by-step explanation:

The side ratios in a 30°-60°-90° triangle are 1 : √3 : 2. The long leg of the triangle is √3 times 30 m, or about 51.96 m.

The distance between the tree and the tower is about 30√3 m ≈ 52 m.

__

If you haven't memorized the ratios of this special triangle, you can use the relation ...

  Tan = Opposite/Adjacent

  tan(30°) = 30/d

  d = 30/tan(30°) = 30√3 = 51.96 . . . . same as above

what is the area of the figure below

Answers

Answer:49.5

Step-by-step explanation:

Since all sides of a square are equal, multiply 6 x 6. Then multiply 6 times 4 1/2 then divided by 2. Now add everything together. Hopefully this helps :)


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Answers

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Have a great day! The steps are down below

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Answers

Answer:

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Step-by-step explanation:

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Another way

Find the area of the figure if it was a rectangle

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answer correctly for brainliest

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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_____

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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true sorry if wrong im not the best at this type of math but im average

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