Corey spies a bald eagle in a tall tree. He estimates the height of the tree to be 80 feet and the angle of elevation to the bird from where he stands to be 65°. The leaves on the tree make it difficult for Corey to watch the bird, so he moves away from the tree 53 feet to get a better view.

Question

Corey spies a bald eagle in a tall tree. He estimates the height of the tree to be 80 feet and the angle of elevation to the bird from where he stands to be 65°. The leaves on the tree make it difficult for Corey to watch the bird, so he moves away from the tree 53 feet to get a better view. 
What is his new angle of elevation to the bird? Round your answer to the nearest hundredth of a degree.

Bot · Answer

51.45°

oobleck · Answer

AAAaannndd the bot gets it wrong yet again! 80 cotθ - 80 cot65° = 53 θ = 41.5°