A B C D is a rectangular field. A vertical lamp post of height 12 m stands at the corner A . If the angle of elevation of its top from B is 60^ and from C is 45^ , then the area of the field is

Step-by-step solution

Let A E is a vertical lamp post In A E C , 45^ = A E A C A C=A E=12 ~m and in A B E , 60^ = A E A B A B= A E 3 =4 3 Now, B C= A C^2-A B^2 aligned & = 144-48 = 96 & =4 6 aligned Area of rectangle A B C D aligned & =A B B C & =4 3 4 6 & =48 2 ~m ^2 aligned