We observe that we have a rectangle triangle.
For this case we can use the following trigonometric relationship:
sine (45) = (5 * root (2)) / h
From here, we clear the value of h:
h = (5 * root (2)) / sine (45)
Rewriting we have:
h = (5 * root (2)) / (root (2) / 2)
h = (2 * 5) * (root (2) / root (2))
h = 2 * 5
h = 10
Answer:
h = 10
Option F