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Lena [83]
2 years ago
11

A ladder leans against the side of a house. The angle of elevation of the ladder is 62 degrees and the top of the ladder is 14 f

t above the ground. Find the distance from the bottom of the ladder to the side of the house. Round your answer to the nearest tenth.
Mathematics
1 answer:
marysya [2.9K]2 years ago
5 0

Answer:

7.4 feets

Step-by-step explanation:

Distance from bottom of ladder to side of the house = d

θ = 62 ; height, h = 14

Using trigonometry :

Tan θ = opposite / Adjacent

Opposite = height ; adjacent = d

Tan 62° = 14 / d

1.8807264 * h = 14

d = 14 / 1.8807264

d = 7.44

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Ms. Cobb divided a bag of 24 chocolate candies between Bob and Patrick. Bob received 4s of candy for every 2
icang [17]

Answer:

If spongebob recieved 4 candies for every 2 that Patrick Got then bob got 16 and patrick got 8.

Step-by-step explanation:

7 0
2 years ago
Find a polynomial function of least degree having only real coefficients, a leading coefficient of 1, and roots of 2-√6 , 2+ √6
horsena [70]

Answer:

x^{4} -18x^{3}+104x^{2} -172x-100

Step-by-step explanation:

The 3 roots are given out of which 2 are real and 1 is imaginary. For a polynomial of least degree having real coefficients, it must have a complex conjugate root as the 4th root. Therefore, based on 4 roots, the least degree of polynomial will be 4. Finding the polynomial having leading coefficient=1 and solving it based on multiplication of 2 quadratic polynomials, we get:  

\\\\x_{1} = 2-\sqrt{6} \\x_{2} = 2+\sqrt{6} \\x_{3}=7-i \\x_{4}=7+i \\\\P(x)=1(x-x_{1})(x-x_{2} )(x-x_{3} )(x-x_{4} ) \\\\=(x-(2-\sqrt{6}))(  x-(2+\sqrt{6} )) (x-(7-i))( x-(7+i))\\=((x-2)+\sqrt{6})( ( x-2)-\sqrt{6} ) ((x-7)+i)( (x-7)-i)\\=((x-2)^{2} -(\sqrt{6} )^{2} )((x-7)^{2}-(i)^{2})\\=(x^{2} -4x-2)(x^{2} -14x+50)\\=x^{4} -18x^{3}+104x^{2} -172x-100\\

7 0
2 years ago
-8w-7+2w=23 what does that equal
olya-2409 [2.1K]
W=-5 because you distribute at the beginning with the 2 variables and you solve that's equation and you will end up with 6w divided by 30 and that's will give u W=-5
7 0
3 years ago
The figures below are similar. The labeled sides are corresponding.
Leno4ka [110]
I need the points sorry
4 0
2 years ago
Read 2 more answers
Evaluate the expression and enter your answer 9+|9+2|
Jet001 [13]

9+|9+2|

Add 9 and 2

9+11

Add 9 and 11

20

3 0
3 years ago
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