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astra-53 [7]
3 years ago
10

To hang lights up on his house.Garrett place is a 14 foot ladder 4 feet from the base of the house. How high up the house will t

he ladder reach
Mathematics
2 answers:
nydimaria [60]3 years ago
6 0

Answer: 13.42 feet

Step-by-step explanation:

Given : To hang lights up on his house.Garrett place is a 14 foot ladder 4 feet from the base of the house.

Since house is standing vertical to to ground making a right angles , so the triangle made by ladder must be a right triangle, where ladder is a hypotenuse.

Let h be the height of the house where the ladder reach.

By Pythagoras Theorem , we have

x^2+4^2=14^2\\\\\Rightarrow\ x^2+16=196\\\\\Rightarrow\ x^2=196-16\\\\\Rightarrow\ x^2 =180\\\\\Rightarrow\ x=\sqrt{180}=13.416407865\approx13.42\text{ feet}

Hence, the height of the house where the ladder reach= 13.42 feet

Firlakuza [10]3 years ago
5 0

This seems like a right triangle problem.

So assuming 14 feet is the hypotenuse and 4 feet is a leg of the right triangle, we can use the pythagorean theorem (a^{2} +b^{2} =c^{2}) to solve for the height of the house, in which we shall name it x.

So, the equation is 4^{2} +x^{2} =14^{2}.

Solve for x:

16+x^{2}= 196

x^{2}= 196-16

x^{2}= 180

x = 6√5 feet


Hope this helps!

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Answer:

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3 0
2 years ago
Read 2 more answers
Parking lot has 121 spots. Ratio of senior to junior is 7 to 4. How many spots go to each grade level?
Andrej [43]
I am going to build a chart this is best when using ratios 

              seniors    junior  total
                 7              4       
                 *?             *?     *?
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The way we fill out this chart is that we add the rows and multiply the columns. 

So we add 7 + 4 and fill it in our chart we get 11 

            seniors    junior  total
                 7              4       11
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    Totals                          121   

now to find the *? need to divide 121/11 to get *?

121/11 = 11

so now our chart looks like this 
            seniors    junior  total
                 7              4       11
                 11            11     11
    Totals                          121   

Now we multiply each column 

so
7 * 11  = 77
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now our chart look like this 

            seniors    junior  total
                 7              4       11
                 11            11     11
    Totals     77           44      121   

so seniors get 77 spaces 
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6 0
3 years ago
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Aloiza [94]

Answer:

C=25^{\circ},\\a\approx 10.72,\\b\approx 11.83

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The sum of the interior angles of a triangle is 180 degrees. Thus, angle C must be 180-90-65=25^{\circ}.

In any triangle, the Law of Sines is given by \frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}.

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