Base = 12÷2
= 6
slant height = a
a^2 = 6^2 + 8^2
a^2 = 100
a = 10 cm
You move the decimal point 6 places to the right because the exponent is positive.
5.04 x 10^6 in standard form is 5040000.
You need to use Pythagoras’ Theorem.
A² + B² = c² and c is the hypotenuse of the right angled triangle.
The height of the tower (5 feet) is A and the distance from the end of the cable and the base of the tower (12 feet) is B. The length of ONE cable is c. So:
A² + B² = c²
5² + 12² = c²
25 + 144 = c²
169 = c²
13 = c. This is the length of one cable.
3 x 13 = 39 therefore the total length of the cables is 39 feet.
25
