May 2012

Situation
The solid pole shown in the figure is loaded with a vertical load P = 25 kN and lateral load H = 0.95 kN. The pole is 3 m high, 300 mm diameter and weighs 22 kN/m³.
 

Problem
The area of a park on a map is 600 mm². If the scale of the map is 1 to 40,000 determine the true area of the park in hectares (1 hectare = 10⁴ m²).

Problem
Given the following equations:

$$ab = 1/8 \qquad ac = 3 \qquad bc = 6$$

Find the value of $a + b + c$.