Explanation: Let's first start with the front triangle. This one is an isosceles right-angled triangle. This means that it has special side lengths of: s , s and s√2 with s√2 being the hypotenuse. Since we have the hypotenuse = 6√2 units Therefore, each of the other two sides would be of length = 6 units
Now, let's consider the side triangle. This one is also a right-angled triangle. This means that special trigonometric functions can be applied. These functions are: sin (θ) = opposite / hypotenuse cos (θ) = adjacent / hypotenuse tan (θ) = opposite / adjacent
Now, we have: θ = 60° adjacent side = x hypotenuse = 6 units (calculated from the previous step)
Substitute with the givens in the cos function to get the value of x as follows: cos (60) = x / 6 x = 6 * cos(60) x = 3 units
