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A bird watcher spied a woodpecker. The bird watcher is 40 yards lower than the woodpecker. The distance from the bird watcher to the woodpecker is 175 yards. What is the angle of elevation?

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Answer:

13.2°

Step-by-step explanation:

The solution triangle attached below :

Using trigonometry :

The angle of elevation, θ can be obtained using the opposite side and hypotenus :

Sin θ = opposite / hypotenus

Sin θ = 40 / 175

θ = Sin^-1(40/175)

θ = 13.2°

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