SOLUTION: From a point on the ground, the angle of elevation of the top of a builing is 28 degrees. From another point 64 m nearer to the building, the angle of elevation of the top is 58 de

Question 473458: From a point on the ground, the angle of elevation of the top of a builing is 28 degrees. From another point 64 m nearer to the building, the angle of elevation of the top is 58 degrees. Find the height of the building.
Please show your steps itll be helpful
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
From a point on the ground, the angle of elevation of the top of a builing is 28 degrees. From another point 64 m nearer to the building, the angle of elevation of the top is 58 degrees. Find the height of the building.
Please show your steps itll be helpful.
**
Draw a right triangle with the vertical leg representing the height y of the building.
Draw a horizontal leg divided into two parts.
The angle of elevation from the far end to the top of the bldg is 28�.
64 m closer the angle of elevation is 58�
distance from the building to the 58� point =x
distance from the building to the 28� point =x+64
You now have two right triangles to work with.
..
tan 28�=y/x+64
y=tan 28�*(x+64)
..
tan 58�=y/x
y=tan 58�*x
..
tan 28�*(x+64)=tan 58�*x
.5317x+34.0294=1.6003x
1.0686x=34.0294
x=34.0294/1.0686=31.8438
y=tan 58�*x=50.96 ft
ans:
Height of building=50.96 ft
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