For this case we can use the following trigonometric relationship:
tan (x) = C.O / C.A
Where,
x: angle (elevation of the sun)
C.O: opposite leg (height of the tower)
C.A: Adjacent Leg (shadow of the tower)
Clearing we have:
C.O = C.A * tan (x)
Substituting values:
h = 60 * tan (65)
h = 128.67 feet
Answer:
the tower is 128.67 feet tall
