Rezos017:
Just a little rotation.

castro316:

The problem is understanding english language (statement problems) not the mathematics. The question says C and D are different observation points at the foot of a tower A Ie the same plane. From there start making your analysis. And before you start your insults, (which I will not indulge you) why did you come out to say my diagram is wrong without checking your facts? However draw yours. If you came to learn stop being a spectator. I am not C. Ronaldo or Messi. Biko. I am SS3 teacher and I know what I drew there

castro316:


Is this what you are looking for?

Rezos017:
Just a little rotation.

naturalwaves:

Were you not the one that started insults by asking for my maths grades? You just come online to talk anyhow without even knowing whom you are talking to. You produced a diagram that does not follow and I made a simple observation. Produce a simple diagram that has A,C and D on the same horizontal plane and satisfies the question. Should this be too much to do nwa teacher? You teach sss 3 maths, kudos! . I have produced countless students that have gone on to massacre exams in further mathematics and mathematics with 90%+ of them scoring A1 even though that is not my own subject. In my subject, I have never produced a B2 in an external examination. You can take that to the bank.

Rezos017:
There you have it. Virtually every detail of the question is captured in the diagram. It makes comprehension and calculating much easier.

naturalwaves:

This is still wrong bro. What angle is supposed to be made by a point due East of another point?

naturalwaves:

Bro, in your diagram, C,A,D are not on the same horizontal plane.

Rezos017:
It isn't merely one point that is due East of another(read the question again).

Rezos017:
It is the tower that is due east of point C, ie on the right side of C.

Rezos017:
The angle of elevation of the top of the tower B from point D is 35 degrees

Rezos017:
I have pointed out that little mistake in d diagram. I"l post another one to show the correction. From the perspective of the diagram, points C and D as well as the tower itself are all on the same horizontal ground.

castro316:


So why were you so quick to say my drawing when your aptitude reasoning is high. This is the statement my teachers used to punish me that year which I found out was very bad thing to say In an academyof "learning"

naturalwaves:

Yes, I know
Sure.

This is not possible bro because the tower is due North of point D and as such cannot be 35 degrees. When one point is due north of another, it has ot be straight up and cannot make an angle of 35 degrees.
The tower is north of point D, ie directly in front of D. It is not the whole tower that is at an angle of elevation of 35 degrees from point D. It is the top of the tower(point B) that is at an angle of elevation from D. You seem smart at Maths and should be able to understand the difference with ease
The only mistake you are making is that you did not think about the fact that the top of the tower was the initial reference point. I have attached some diagrams on the first page. Check them out

naturalwaves:

Okay. Sorry about that if you are offended. Quickly check the previous page to see the images I attached. You are free to criticise it.

Abeos:
Op I think this should be the diagram.

Rezos017:
There you have it. Virtually every detail of the question is captured in the diagram. It makes comprehension and calculating much easier.

Abeos:
Op I think this should be the diagram.

naturalwaves:


SOLUTION

Question says;
C and D are observational posts on the same horizontal ground at the foot A of a vertical tower AB. The tower is 18m due North of D and 24m due East of C

Question should be
C and D are observational posts on the same horizontal ground AS the foot A of a vertical tower AB. The tower is 18m due North of D and 24m due East of C
After correcting the grammar, this is how it should be solved.

STEP 1

Mark a dotted point as the point D and trace it up to another dotted point. The second dotted point represents the tower. This should be a straight line. why? Because the question says the tower is 18m due North of D. So, label the line as 18m


STEP 2

From that second dotted point which represents the tower, draw another straight, dotted lines to the left and put a dot at the end to represent C. Label it as 24m. Why? The question says that, the tower is 24m due East of C


STEP 3
From the question , we know that points C and D are on the same horizontal ground. So, draw a straight line to join points C and D


STEP 4
Draw a straight line to join the line /CD/ from our initially dotted point that represents the tower. THAT STRAIGHT LINE YOU HAVE JUST DRAWN IS THE TOWER AB


STEP 5

We know from the question that the foot of the tower is A and the top is B. So, label the bottom that is now on the same line as /CD/ as A and label the top as B. You will then observe that the diagram is in line with the question as C,A and D are all on the same line.

I will attach the necessary pictures when I get on a phone I can snap with or when I can sketch. I am on the laptop now.
I hope this helps someone.

Note that in the diagram, a straight line was drawn fom D to the tower point to show that the tower point is due north. The line is not the tower

CC: Castro316, Rezos017, Mrshape,Abeos, Airtimex

Rezos017:
Just a little rotation.

Rezos017:
Notice the correction: the angle of elevation of the top of the tower B from point D (not point C in the previous diagrams) is 35 degrees

Mrshape:

U did a great job, but a good 3D diagram will be better understood.

naturalwaves:

Were the students expected to draw a 3D diagram for the straightforward sketch? Let me see the diagram you have.

Rezos017:
Most bright students, even a huge percent of maths teachers, would still struggle to come up with a diagram that captures this question. Its not the solution that's difficult; its the diagram. Most times, students are taught only two dimensional bearing problems, but three dimensional problems like the one in the post are completely ignored.

Mrshape:

You call it straight forward because you already understood the ideal,
If I tell you the number of students and maths teachers around the word that have failed this particular question you will not believe, when I presented the solution, the only way the comprehend is when it was in 3d dimension,
Students will not be ask to draw 3D, but only does that understand 3D formation of it can translate it to what u did their.
Note my diagram is same as, @Razor017 diagram.

Rezos017:
At natural waves:
I was trying to correct a wrong idea u had: the tower is north of D, meaning directly in front of D. But its not the whole tower that is at an angle of elevation of 35degrees from D. Its just the top of the tower, ie point B. Its clearly detailed in the second diagram. You seem good at basic maths. You can see the difference

naturalwaves:

I see! Doing 3D imaging and teaching the concept is a bit advanced for that level considering the fact that 95%+ of secondary schools do not have the resources to teach such. It cannot be well illustrated on a white board for students. I may teach in a privileged school with all the necessary facilities like Interactive Flat Panels and necessary software to make an illustration. However, less than 5% of schools have this.
If I get you right, do you mean to say that I gave the correct 2D analysis and imaging while you guys gave the 3D solution?

naturalwaves:

I see! Doing 3D imaging and teaching the concept is a bit advanced for that level considering the fact that 95%+ of secondary schools do not have the resources to teach such. It cannot be well illustrated on a white board for students. I may teach in a privileged school with all the necessary facilities like Interactive Flat Panels and necessary software to make an illustration. However, less than 5% of schools have this.
If I get you right, do you mean to say that I gave the correct 2D analysis and imaging while you guys gave the 3D solution?

Mrshape:

Yes you and abeos gave the correct 2D representation, while Razor017 gave the correct 3D in his last diagram.