hard question

[jaja]

Who says further is easy?

Can somebody do this please

From a point A due north of a tower the angle of elevation to the top of the tower is 45◦.
From a point B, 100 m on a bearing of 120◦ from A the angle of elevation is 26◦. Find the
height of the tower.

[kamil9876]

let T be the point that is the bottom of the tower.

first diagram is looking at the plane bird's eye view
second diagram is what an observer would see on the ground looking at the tower.

in diagram 1:

AT=h because tan45=1.

on diagram 1 we can use the cosine rule:


On diagram 2 u can use simple trig:



Have fun solving these simultaneous equations and don't forget about deg mode.

[jaja]

Thanks for the effort kamil, however, i used to CAS calculator to solve this and got h=38.3, the answer is 42.4m.

[kamil9876]

lol sorry massive mistake on second equation:



 

Remember that BT=d