Question

HELP ASSAPP WITH THIS QUESTION!!!!

Answer 1

Use Pythagorean theorem here. 
Walkway is √40²+30² so 50

Answer 2

Answer:  "46. 1 ft" ; {which does not correspond to ANY of the answer choices provided}.
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Explanation:
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Refer to the figure at the end of this answer for further information.
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 We use the Pythagoren theorem equation to solve for the "walkway"; which forms a "hypotenuse" ; 
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   a² + b² = c² ; 

in which: "c" = the length of the "hypotenuse" ; which in this case in the "walkway" ;  for which we wish to solve;

                 b = the length of another side of the right triangle; 
 
                 a = the length of the other, remaining side of the right triangle;
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  a² + b² = c² ;  Solve for "c" ; 

↔  c² = a² + b² ;

a = 35 ft. ;  (Note: "70 ft. ÷ 2 = 35 ft." ; We divide "70" by 2" because this is needed to form a "right triangle" ; and the Pythagorean theorem applies ONLY to "right triangles".  Refer to the figure at the end of the question for further information.

b = 30 ft. (given); 
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Now, let's plug in these values into the formula/ equation; to solve for "c" (the hypotenuse, which is the length of the "walkway" ; 

c² = a² + b²  ;

c² = (35² + 30²) ;

c² = (1225 + 900) ;

c² = 2125 ;

Now, take the "positive" square root of EACH SIDE of the equation; to isolate "c" on one side of the equation; and to solve for "c" ;

 √(c²) = √2125 ; 

to get:

   c = 46.0977222864644365 ft. ; which does not correspond to any of the answer choices provided;  Round to:  "46. 1  ft." .
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Refer to attached figure:
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