SOLUTION: From a point away from the base of a building, the angle of elevation is 51 degrees. From a point 4m closer to the building, the angle of elevation increases to 67 degrees. Howtall

Algebra ->  Trigonometry-basics -> SOLUTION: From a point away from the base of a building, the angle of elevation is 51 degrees. From a point 4m closer to the building, the angle of elevation increases to 67 degrees. Howtall      Log On


   

Question 980118: From a point away from the base of a building, the angle of elevation is 51 degrees. From a point 4m closer to the building, the angle of elevation increases to 67 degrees. Howtall is the building?
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
Two right triangles sharing same vertical leg y. One of them has leg x and angle opposite of y is 67 degree. Other triangle has leg x+4 and angle opposite of y is 51 degree.

You should make a drawing and use it to follow how to form these two equations:

system%28y%2Fx=tan%2867%29%2Cy%2F%28x%2B4%29=tan%2851%29%29

You can solve this system for y, as well as for x if you wanted it. Again, y is the height of the building.