Explanation: Let AB is tree of height h
t
=
? and CD is Tonya h
g
=
1.3 meter tall at A
C
= 7 meters in front of tree . The shadow C
E
=
1.8 meters long . So two similar triangles are formed , one Δ
A
E
B and other Δ
C
E
D
. So A
B
C
D
=
A
E
C
E or h
t
h
g
=
A
E
A
C or h
t
h
g
=
A
C
+
C
E AC or h
t 1.3
=
7
+
1.8
1.8 or h
t
=
8.8
⋅
1.3
1.8
≈
6.36
(
2
d
p
)m
The answer is multiplying by 11. Throughout the sequence you multiply 11 by the number before to get the next number. For example, the next number in the sequence is 14641 x 11 = 161051.
