Hello, LaMandie!
Show us your work for your different answers.
And we can tell you where you made errors.
Isn't that easier for all of us?
" From point A, the angle of elevation to the top of a building is 32. Walking 70m closer, the angle changes to 44. How high is the building?"
So far, I've gotten this:
xtan44 = (x + 70)tan32
Each time I try it though, I get completely different answers.
All I need is for someone to just do it themselves while showing how they did it.
Thankyou very much!
Alrighty then!
1. xtan44 = (x + 70) tan32
x0.9657 = (x + 70)0.6249
x0.9657 = x0.6249 + 43.7409
x = x0.6249 + 43.7409 / 0.9658
x = x0.6249 + 45.2898
1 = 0.6249 + 45.2898
1 = 45.9147
2. xtan44 = (x + 70) tan32
x = (x + 70) tan32/tan44
x = ( x + 70) 0.6471
x = 0.6471x + 45.295
1 = 29.3104
3. xtan44 = (x + 70) tan32
xtan44 / tan 32 = (x + 70)
x1.545 = (x + 70)
1.545 = (x + 70) / x
1.545 = 70
4. xtan44 = (x + 70)tan32
xtan44 = xtan32 + 70tan32
x = xtan32 + 70tan32 / tan44
1 = tan32 + 70tan32 / tan44
1 = 43.4
I'll give you the steps.. hope you can draw the picture..
Draw a right angled triangle ABC, where angle B=90 degrees.. AB is the height of the building..
angle ACB=32 degrees and BC is the base of the triangle. suppose that the length of BC=x..
if you move 70m close to the building from pint C, then the angle is 44 deg.
so there is a point D on the line BC such that angle ADB=44 deg..
Also, since BC = x, and CD=70m, you have BD=(x-70)m
so,
.....(I)
and
......(II)
from (I), you have
and from (II), you have
so, you have:
then substitute the value of x in equation (I) to find AB