AB = 15 feet - horizontal
BC = 3 feet - vertical
DE = ? - vertical
a.) 5 feet
b.) 8 feet • my answer
c.) 9 feet
d.) 25 feet
diagram in next post
the diagram:
s18.
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you are correct.
DE/40 = 3/15
To find the length of DE, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In this case, AB is the horizontal side and BC is the vertical side of the right triangle. The length of AB is given as 15 feet, and the length of BC is given as 3 feet.
Let's represent the length of DE as x. Now, we can set up the equation using the Pythagorean theorem:
AB² + BC² = DE²
Substituting the known values into the equation:
15² + 3² = x²
Simplifying:
225 + 9 = x²
234 = x²
Now, to find the value of x, we need to take the square root of both sides of the equation:
√234 = √(x²)
15.2971 ≈ x
Since the question is asking for the length of DE, which is the vertical side, the closest option is 9 feet (option c). Therefore, the correct answer is c.) 9 feet.