Answer:
12.6491106
Step-by-step explanation:
With respect to the angle formed by the bottom of the
ladder with the ground
cos T = 6/14 = 3/7
T = inverse-cosine(3/7) = 64.623006647 degrees
sin(64.623006647) = h/14
h = 14*sin(64.62300647) = 12.6491106