Question 1037056: 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 (1.95, 2.39, 5.36, 6.58) kilometers from the ground.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39630)   (Show Source):
You can put this solution on YOUR website! Draw this diagram of two triangles.
s, distance from base point of bird to Susan;
m, distance from base point of bird to Mark;
s+m=7.
h, how high the bird from the base point.
Angle measure at s is 20 degrees;
Angle measure at m is 50 degrees.
Two more equations are  .
You really have a system of these equations:
 .
You can solve this system for all three unknown variables. The question asks for the value of h.
Answer by MathTherapy(10557)  (Show Source):
You can put this solution on YOUR website! 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 (1.95, 2.39, 5.36, 6.58) kilometers from the ground.
Height: 
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