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Fantom [35]
3 years ago
9

A ladder that is 15 feet long leans against the side of a house. the angle of elevation of the ladder is 80°. find the height fr

om the top of the ladder to the ground. (round your answer to one decimal place.

Mathematics
2 answers:
lisabon 2012 [21]3 years ago
6 0
Sin80=h/15

(because h is opposite the angle of elevation and 15 is the hypotenuse)

h=15sin80=14.77

h=14.8 ft  (rounded to the nearest tenth of a foot)
Stella [2.4K]3 years ago
5 0
<h2>The height from the top of the ladder to the ground is 14.77 ft</h2>

Step-by-step explanation:

A ladder that is 15 feet long leans against the side of a house

Length of ladder = 15 feet

The angle of elevation of the ladder is 80°

Refer the given figure

We need to find height h.

We have

              sin80=\frac{h}{15}\\\\h=15\times sin80=14.77ft

The height from the top of the ladder to the ground = 14.77 ft

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Two children own two-way radios that have a maximum range of 3 miles. One leaves a certain point at 1:00 P.M., walking due north
Grace [21]

Answer:

The answer is 21 minutes

Step-by-step explanation:

We use the equation Xf = Xo + vt

1) At 1:00 PM, child one leaves the starting point heading north at a constant velocity of 6 mi/hr or .1 [mi/min] (divide by 60 to convert from [mi/hr] to [mi/min])

2) He walks for 15 minutes before kid 2 starts walking. In 15 minutes he is able to cover 1.5 [mi]

  • x_{1f1} =x_{o} +v_{1} t_{1} \\x_{1f1} =0+.1(15)\\x_{1f1} =1.5 [mi]

3) Now, child 2 starts walking and we know that when the range reaches 3 miles, they won´t be able to communicate. So the sum of the final position of child 1 and child 2 must be 3[mi]

  • Child 1 final position => x_{1f} = x_{1f1} +v_{1} t\\x_{1f} =1.5+v_{1} t
  • Child 2 final position => x_{2f} =0+v_{2} t

4) Sum the equations and equate to 3

  • x_{1f} +x_{2f} =3

5) Substitute the values we already know

  • 1.5+v_{1} t+v_{2}t=3\\ 1.5+.1t+.15t=3\\1.5+.25t=3\\t=\frac{3-1.5}{.25} \\t=6 [min]

6) in 15 + 6 minutes they will be 3miles apart

7) In 21 minutes they will still be able to communicate with one another.

7 0
3 years ago
Find the area of the largest square contained by a circle of radius r = 1cm. Explain your answer and justify that it is correct.
Elena-2011 [213]

Answer:

2 square cm

Step-by-step explanation:

Given :

A square is inscribed in a circle whose radius is r = 1 cm

Therefore, the diameter of the circle is 2 r = 2 x 1

                                                                      = 2 cm.

So the diagonal of the square is 2r.

Using the Pythagoras theorem, we find each of the side of the triangle is $r \sqrt 2$.

Therefore, the area of the square is given by $\text{(side)}^2$

                                                                         = $(r\sqrt 2)^2$

                                                                         $= 2 r^2$

                                                                         $= 2 (1)^2$

                                                                         $=2 \ cm^2$

Hence the area of the largest square that is contained by a circle of radius 1 cm is 2 cm square.

7 0
3 years ago
A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a​ single-strand electric
allochka39001 [22]
I'm fairly certain that using that wire you can have the same area no matter what dimensions there are, but if you do the square root, or \sqrt{} of 19,001,900 then you get 4359.11688. So your dimensions are 4359.11688 x 4359.11688. To get area, do length x width to get <span>1.9*1 0^{7}.

Hope this helped! If it did, please give me a good rating and mark me brainiest.<span /></span>
4 0
3 years ago
Whats 345*28923+808(2829)=
RoseWind [281]

Hi there!

345*28923+808(2829)

The first step put the problem into 2 parts, the first part is 345*28923

The second part is 808(2829)

The parentheses means to multiply that number that it touches.

Add the final 2 answers.

345*28923 = 9,978,435

808(2829) = 2,285,832

Now, add the answers.

9,978,435 + 2,285,832 = 12,264,267

Hope this helped!~

7 0
3 years ago
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Aleksandr-060686 [28]

Answer:

dunno

Step-by-step explanation:

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