is a rectangular field. A vertical lamp post of height m stands at the corner . If the angle of elevation of its top from is and from is . then the area of the field is
Explanation for the correct option:
Step-1. Draw the figure according to the question and join
AE is the vertical lamp-post
Step- 2: Applying trigonometric ratios in and :
In , we have
By Pythagorous theorem in
Step 4. Find the area of rectangular field:
Area of rectangular field
Thus, the area of field is
Hence, option ‘A’ is correct.