Problem A tall tree is growing across a river from you. Youwould like to know th

Question

Problem A tall tree is growing across a river from you. Youwould like to know the distance between yourself and the tree,aswell as its height, but are unable to make the measurementsdirectly. However, by using a mirror to form an image of the treeand then measuring the image distance and the image height, you cancalculate the distance to the tree as well as its height. Supposethat this mirror produces an image of the sun, and the image islocated 0.9601 m from the mirror. The same mirror is then used toproduce an image of the tree. The image of the tree is 1.0687 mfrom the mirror. (a) How far away is the tree? (b) The image heightof the tree has a magnitude of 0.15 m. How tall is the tree?

Explanation / Answer

distance from earth to sun=1.5x10^11m 1/f=1/di+1/do f=focal length di=distance of imagedo=distance of object for sun: 1/f=1/.961 +1/1.5x10^11 f=.961m this doesn't change for tree: 1/.961=1/1.0687 + 1/do do=9.54 meters Magnification=di/do M=1.0687/9.54 M=.112 .112xho=.15 Height of tree=1.34m

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