Question

A tree $6m$ tall casts a $4m$ long shadow. At the same time, a flag pole casts a shadow $50m$ long. How long is the flag pole?

• A. $75m$
• B. $100m$
• C. $150m$
• D. $50m$

Answer 1

Answer: (A)

$75m$

Let AB is the length of tree and Pq is the lenght of flag

We know that the angle of evaluation at same time on a point is same

In triangle ABC

The $tan\theta =\frac{AB}{BC}=\frac{6}{4}$

In triangle PQR

The $tan\theta =\frac{PQ}{QR}=\frac{PQ}{50}$

So $\frac{6}{4}=\frac{PQ}{50}\Rightarrow PQ=\frac{6\times 50}{4}=75$m