Susan and mark are standing at different places on a beach and watching a bird. the angles of elevation they make are 20º and 50º, respectively. if susan and mark are 7 kilometers apart and the bird is between them, the bird is at a height of kilometers from the ground. nextreset

The bird is at a height of 1.95 km from the ground.

Step-by-step explanation:

It is given that the distance between susan and mark is 7 km and bird is between  susan and mark. The angles of elevation they make are 20º and 50º, respectively.

Draw a perpendicular line from the bird on base.

Let the distance of susan from and the altitude be x.

In triangle ABS,

      ..... (1)

In triangle ABM,

    ..... (2)

From (1) and (2), we get

The length of AB is,

Therefore, the he bird is at a height of 1.95 km from the ground.

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