Answer:
C. 15.9 m
Step-by-step explanation:
Let x be the height of the telephone pole,
Since, the length of the shadow of pole is 34 m,
So, the ratio of the height of the pole and its shadow = [tex]\frac{x}{34}[/tex],
Also, the statue is of 36 cm tall casts a shadow 77 cm long,
Thus, the ratio of the height of pole = [tex]\frac{36}{77}[/tex]
At the same time,
The ratio of height with shadow is same for all objects.
[tex]\frac{x}{34}=\frac{36}{77}[/tex]
[tex]x=\frac{34\times 36}{77}=\frac{1224}{77}=15.8961038961\approx 15.9[/tex]
Hence, the height of the telephone pole is 15.9 m.
Option 'C' is correct.
