Two poles of lengths 10 ft and 15 ft are set up vertically with bases on horizontal ground 12 ft apart. Find the distance between the tops of poles

The distance between the tops of the poles is the hypotenuse of the triangle which is equal to the square root of (12^2 + 5^2)

The hypotenuse = square root (144 + 25) = 13 ft

13 ft.

Step-by-step explanation:

We have a right triangle with base 12, height = 15 -10 = 5 and we need to find the hypotenuse which is the distance between the 2 tops.

x^2 = 5^2 + 12^2 = 144 + 25 = 169.

x = sqrt169 = 13 ft.

step-by-step explanation:

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents