Question

See image for math question. Please Help

Answer 1

Answer:
x = 3

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

Hope this helps :)