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.
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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 28º.
64 m closer the angle of elevation is 58º
distance from the building to the 58º point =x
distance from the building to the 28º point =x+64
You now have two right triangles to work with.
..
tan 28º=y/x+64
y=tan 28º*(x+64)
..
tan 58º=y/x
y=tan 58º*x
..
tan 28º*(x+64)=tan 58º*x
.5317x+34.0294=1.6003x
1.0686x=34.0294
x=34.0294/1.0686=31.8438
y=tan 58º*x=50.96 ft
ans:
Height of building=50.96 ft