Question 937463
tan 55 = h/x

x= h/tan 55.................(1)

tan 36 = h/(100+x)
100tan 36 + x tan36 =h

x tan 36 =(h-100 tan 36)

x= (h-100 tan 36)/tan 36............(2)

equate (1) & (2)

(h-100 tan 36)/tan 36=h/tan 55

Simplify

h-100 tan 36 = h tan 36/tan 55

h- htan 36 /tan 55 = 100 tan 36

h-0.5h = 72.6

0.5h= 72.6

h = 145.3 feet