Question

A telephone pole casts a shadow that is 34 m long. Find the height of the telephone pole if a statue that is 36 cm tall casts a shadow 77 cm long.
telephone pole
A. 72.7 m
B. 14.4 m
C. 15.9 m
D. 71.2 m

Answer 1

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 = $\frac{x}{34}$,

Also, the statue is of 36 cm tall casts a shadow 77 cm long,

Thus, the ratio of the height of pole = $\frac{36}{77}$

At the same time,

The ratio of height with shadow is same for all objects.

$\frac{x}{34}=\frac{36}{77}$

$x=\frac{34\times 36}{77}=\frac{1224}{77}=15.8961038961\approx 15.9$

Hence, the height of the telephone pole is 15.9 m.

Option 'C' is correct.