Answer:
AB = 17 m, AC ≈ 19.2 m
Step-by-step explanation:
Drawing a line from A to the base creates a right triangle
with legs 8 and (25 - 10 ) = 15
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
AB² = 15² + 8² = 225 + 64 = 289 ( take the square root of both sides )
AB = [tex]\sqrt{289}[/tex] = 17 m
------------------------------------
Using Pythagoras' identity i right triangle ABC
AC² = AB² + BC² = 17² + 9² = 289 + 81 = 370 ( take square root of both sides )
AC = [tex]\sqrt{370}[/tex] ≈ 19.2 m ( to 1 dec. place )
