A boy standing on a horizontal plane finds a bird flying at a distance of 100 m from him at an elevation of 30∘. A girl standing on the roof of a 20-m-high building finds the angle of elevation of the same bird to be 45∘. The boy and the girl are on the opposite sides of the bird. Find the distance of the bird from the girl. [Given √2=1.41] [4 MARKS]

A boy standing on a horizontal plane finds a bird flying at a distance

1.	A boy standing on a horizontal plane finds a bird flying at a distance of 100 m from him at an elevation of 30∘. A girl standing on the roof of a 20-m-high building finds the angle of elevation of the same bird to be 45∘. The boy and the girl are on the opposite sides of the bird. Find the distance of the bird from the girl. [Given √2=1.41] [4 MARKS]
Answer» A boy standing on a horizontal plane finds a bird flying at a distance of 100 m from him at an elevation of $30^{\circ}$ . A girl standing on the roof of a 20-m-high building finds the angle of elevation of the same bird to be $45^{\circ}$ . The boy and the girl are on the opposite sides of the bird. Find the distance of the bird from the girl. [Given $\sqrt{2} = 1.41$ ] [4 MARKS]