Simplify and select the answer with the appropriate restrictions for the variables. (x+3)(x+7)/3x+21
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The first step in solving a problem is illustrating it just as what the picture shows. The ladder represents the hypotenuse, or the longest side of the right triangle. It measures 14 feet. The base measures 6 feet. The height of the top of the ladder from the base of the wall is denoted as x. Since this is a right triangle, the special equations for Pythagorean theorems would apply. The equation is
c^2 = a^2 + b^2, where c is the hypotenuse, a and b are the other shorter legs. Substituting the values,
14^2 = 6^2 + x^2
x^2 = 14^2 - 6^2
x^2 = 160
x = 4√10 = 12.65 feet
c^2 = a^2 + b^2, where c is the hypotenuse, a and b are the other shorter legs. Substituting the values,
14^2 = 6^2 + x^2
x^2 = 14^2 - 6^2
x^2 = 160
x = 4√10 = 12.65 feet