Use a Clinometer for

a. Go outside and measure a comfortable distance away from a tree or pole. Use your clinometer to determine the angle of elevation from your line of sight to the top of the tree. (I understand not everyone has a clintometer, use an average distance for this problem)

b. Based on the distance you are from the tree or pole you are measuring, and the angle you measured, determine the approximate height of the tree. Don't forget to add your height from the ground to your line of vision!

c. If the angle of elevation is held constant, and you move closer to your tree or pole, how will that affect the tree's height? What happens if you move away from the tree and the angle is still constant? Give examples to support your conclusions.

d. If the distance to the tree remains the same, how will change in angle affect the tree's height? Give examples to support your conclusion.

e. Bonus: The diameter of the moon is about 2,160 miles. When the moon is full, a person sighting the moon from the earth measures an angle of 0.56 degrees from one side of the moon to the other. How can we use this information to approximate the distance from where you are standing to the moon using right triangle trigonometry? How can we use our ideas of arc length? Which is a better approximation and why?