Question

Amit,standings on a horizontal plane,finds a bird flying at a distance of 200m from him at an elevation of 30°. Deepak standing on the roof of 50m high building,finds the angle of elevation of the same bird to be 45°.Amit and Deepak are on opposite sides of the bird . Find the distance of bird from Deepak

Answer 1

Answer:

50√2 m

Step-by-step explanation:

Amit,standings on a horizontal plane,finds a bird flying at a distance of 200m from him at an elevation of 30°. Deepak standing on the roof of 50m high building,finds the angle of elevation of the same bird to be 45°.Amit and Deepak are on opposite sides of the bird . Find the distance of bird from Deepak

Amit form an right angle triangle with bird where base angle = 30° (Elevation Angle) and hypotenuse = 200m (Distance)

Let say height of bird from ground = h m

Sin 30° = h / 200   ( perpendicular / hypotenuse)

=> 1/2 = h/200     (Sin 30° = 1/2)

=> h = 100 m  

Deepak standing on height of 50 m

so bird height from deepak = 100 - 50 = 50 m

Angle of Elevation = 45°

Sin45° = 50/(distance of bird from Deepak)

=> 1/√2 = 50/(distance of bird from Deepak)

=> distance of bird from Deepak = 50√2 m