SOLUTION: The angle that is formed by the ground and the line that connects the tip of the shadow of a building and the tip is 75 degrees.The distance from the tip of the shadow to the botto

Algebra ->  Triangles -> SOLUTION: The angle that is formed by the ground and the line that connects the tip of the shadow of a building and the tip is 75 degrees.The distance from the tip of the shadow to the botto      Log On


   

Question 929106: The angle that is formed by the ground and the line that connects the tip of the shadow of a building and the tip is 75 degrees.The distance from the tip of the shadow to the bottom of the building is 50 ft.What is the height of the building?





An explanation would be great :-)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

The diagram shows that the shadow (green), the building (black), and the length from the shadow to the building (blue) form a right triangle.
tan%2875%29=H%2F50
H=50tan%2875%29
H=50%283.73%29
H=186.6ft