Answer:
h = 61.83 feet
Step-by-step explanation:
length of string from Hector to kite = c = 86 feet.
and 4 feet off the ground.
angle A = 42° 15' 30"
req'd: how high is the kite?
angle A = 42° + 15' (1° / 60') + 30"(1° / 3600'')
angle A = 42.26
to get the side a (height of kite) 4 feet above ground: use Sin(A) = opp / hyp
Sin(A) = a / c
Sin(42.26) = a / 86
a = Sin(42.26) * 86
a = 57.83 feet
therefore, the height of the kite from the ground = h = 57.83 + 4
h = 61.83 feet
