Two observers are 200 feet apart in line with a tree containing a bird's nest. The angles of elevation to the bird's nest are 30° and 60°. How far is each observer from the base of the tree?

Step-by-step explanation:

x ft from tree, the angle of elevation is 60°.

Altitude of nest is x√3.

x+200 ft from tree, the angle of elevation is 30°.

x+200 = (x√3)√3 = 3x

x = 100

One observer is 100 ft from tree. The other observer is 300 ft from tree.

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step-by-step explanation: