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Homework 11­9
Lsn 11­10: Applications of Trig

1.  Find the length of the segment labeled x.


                         12

                         x
2.  A sign 46 feet high is placed on top of an office building.  
From a point on the sidewalk level with the base of the 
building, the angle of elevation to the top of the sign and the 
angle of elevation to the bottom of the sign are
respectively.  Sketch a diagram to represent the building, the 
sign, and the two angles, and find the height of the building to 
the nearest foot. 
3.  A ship captain at sea uses a sextant to sight an angle of 
elevation of     to the top of a lighthouse.  After the ship 
travels 250 feet directly toward the lighthouse, another 
sighting is made, and the new angle of elevation is 
The ship's charts show that there are dangerous rocks 100 feet 
from the base of the lighthouse.  Find to the nearest foot, how 
close to the rocks the ship is at the time of the second 
sighting.

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Lsn 11-10: Applications & Regents Problems