A water tank casts a shadow 21 m long. A tree of height 9.5 m casts a shadow 8 m long at the same time. The lengths of the shadows are directly proportional to their heights. Find the height of the tank.
Solution:
Height Of tree Length of Shadow
9.5 8m
Height of Tank Length of Shadow
x = ? 21 m
Since the length of the shadows are directly proportional to the height we can write height of tank as:
x = 9.5 × (21/8)
x = 24.9375 m
✦ Try This: A water tank casts a shadow 27 m long. A tree of height 10.5 m casts a shadow 9 m long at the same time. The lengths of the shadows are directly proportional to their heights. Find the height of the tank.
Height Of tree Length of Shadow
10.5 9m
Height of Tank Length of Shadow
x = ? 27 m
Since the length of the shadows are directly proportional to the height we can write height of tank as:
x = 10.5 × (27/9)
x = 31.5 m
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 13
NCERT Exemplar Class 8 Maths Chapter 10 Problem 94
A water tank casts a shadow 21 m long. A tree of height 9.5 m casts a shadow 8 m long at the same time. The lengths of the shadows are directly proportional to their heights. Find the height of the tank
Summary:
A water tank casts a shadow 21 m long. A tree of height 9.5 m casts a shadow 8 m long at the same time. The lengths of the shadows are directly proportional to their heights. The height of the tank is 24.9375m
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