All categories

3 years ago

The string of a kite is 100 meters long and it makes an angle of 60° with the ground. What is the height of the kite?

Mathematics

1 answer:

Naddika [18.5K]3 years ago

7 0

Answer:

50√3 ≈ 86.6 m

Step-by-step explanation:

The geometry can be modeled by a right triangle with the height of the kite being the leg opposite the 60° angle. The hypotenuse has the given length of 100 m.

The mnemonic SOH CAH TOA reminds you that the relation between angles and the sides of interest here is ...

Sin = Opposite/Hypotenuse

sin(60°) = (kite height)/(100 m)

kite height = (100 m)·sin(60°) = (100 m)(√3)/2

kite height = 50√3 m ≈ 86.6 m

You might be interested in

Which expression is equivalent to –2(5x – 0.75)?

Zinaida [17]

Answer:

5(5x - 0.34

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

What is the surface area of the rectangular prism

anastassius [24]

340 you were right

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

3) Find two consecutive even integers such that their sum is equal to the difference of 3 times the larger & 2 times the sma

swat32

Answer:

In assumption, x is the smaller even integer and x+2 is the next so it will be larger.

The integers are 4 and 6

Step-by-step explanation:

Let the two consecutive even integers be x and x+2

Here x is the smaller even integer and x+2 is the next so it will be larger.

Now according to the given statement

Sum of both: $x+x+2$

difference of 3 times the larger & 2 times the smaller: $3(x+2)-2x$

Putting the sum and difference equal:

$x+x+2 = 3(x+2)-2x$

Solving the equation

$2x+2 = 3x+6-2x\\2x+2 = x+6\\2x+2-x = x+6-x\\x+2 = 6\\x+2-2 = 6-2\\x = 4$

The next integer will be:

$x+2 = 4+2 = 6$

Hence,

In assumption, x is the smaller even integer and x+2 is the next so it will be larger.

The integers are 4 and 6.

3 0

2 years ago

A customer wants to put in a concrete driveway that is 10" thick. How much concrete would it take to pour a driveway that measur

stellarik [79]

Answer: 22.59 yd^3

Step-by-step explanation:

First the volume of a cuboid whose measurements are:

L = length, W = width and T = thiknes is:

V = L*W*T.

We want to calculate the volume of a shape that is:

10'' thick, 18' wide and 42' long.

This notation is:

(') = feet

('') = inches

The first step is to write our 3 numbers in the same units, then we can use that:

1 inch = 0.083 ft.

Then 10 inches are equal to:

10'' = 10*(0.083 ft) = 0.83 ft = 0.83'

Then the volume of concrete needed will be:

V = 0.83ft*18ft*42ft = 627.48 ft^3

But we want this expressed in yd^3

1ft = 0.33 yd

then

1ft^3 = (0.33 yd)^3 = 0.036 yd^3

then 627.48 ft^3 can be written as:

627.48 ft^3 = 627.48*( 0.036 yd^3) = 22.59 yd^3

8 0

3 years ago

List these numbers from LEAST TO GREATEST 19.054, 19.0541, 19.5, 19.0

german

Answer:

19.0, 19.5, 19.054, 19.0541

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers