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myrzilka [38]
4 years ago
15

Can someone please help me with this problem and show work?

Mathematics
1 answer:
Fed [463]4 years ago
8 0

Answer:

A kite with a 100 foot-long string is caught in a tree. When the full length of the string is stretched in a straight line to the ground, it touches the ground a distance of 30 feet from the bottom of the tree. Find the measure of the angle between the kite string and the ground.

17°

27°

63°

73°

Step-by-step explanation:

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Answer:

\displaystyle   b  =   - 14

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Step-by-step explanation:

to figure out b we can consider the following formula:

\displaystyle  \frac{ - b}{2a}  = h

the form of vertex coordinate given by

\displaystyle (h,k)

so according to the question

\displaystyle (h,k) = ( - 7, - 5)

by order pair we obtain:

\displaystyle h  =  - 7, k = - 5

now substitute the value of h and a to the formula:

\displaystyle  \frac{ - b}{2(- 1)}  =  - 7

simplify multiplication:

\displaystyle  \frac{ - b}{ - 2}  =  - 7

cross multiplication:

\displaystyle   - b  =  14

divide both sides by -1:

\displaystyle   b  =   - 14

now we need to figure out C to do so substitute -7 for x and -5 for y which yields:

\displaystyle    -  {7}^{2}    - 14( - 7)  + c =  - 5

simplify square:

\displaystyle    -49    - 14( - 7)  + c =  - 5

simplify multiplication:

\displaystyle    -49     + 98+ c =  - 5

simplify addition:

\displaystyle    49+ c =  - 5

cancel 49 from both sides:

\displaystyle    c =   - 54

hence,

  • b=-14
  • C=-54
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