Question 844417: 1. A ladder is placed at an incline against a wall, making an angle of 30° with the ground. If the length of the ladder is 10 feet, find the height of the point where the ladder touches the wall.
2. A tree that is 10 feet tall casts a shadow 10√3feet long. What is the angle of elevation of the sun?
Answer by leducanh1992(9)   (Show Source):
You can put this solution on YOUR website! I don't know how to upload a graph for the answer, so I would try my best to describe it. For question 1, your ladder, the wall, and the ground make a right triangle where the ladder is hypotenuse. The wall and the ground make a 90 degree angle, and the ladder and the ground make a 30 degree angle. Therefore,
 , and  , or the height of the point where the ladder touches the wall is  . For the second question, you can use the same graph as the first one in which, your wall becomes the tree, and the shadow becomes the ground (it is on the ground anyway). The angle you have to find is x, so tan x = Tree/Shadow =  , 
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