Asked by love
to calculate the height of the tower david measured the angle of elevation of the top of the tower from point A to B 42degrees. He moved then 30meter closer to the tower and from the point B the angle of elevation to the top of the tower to be 50degree. Determine the height of the tower
Answers
Answered by
Reiny
Did you make a sketch?
I labeled the tower as PQ, with Q and the extended line of AB
In triangle PAB
angle A = 42°, angle ABP = 130°
then angle APB = 8°
by sine law:
BP/sin42 = 30/sin8
BP = 30sin42/sin8
In the right-angled triangle BPQ
sin50 = PQ/BP
PQ = BPsin50
= (30sin42/sin8)(sin50)
carry on with the button-pushing
I labeled the tower as PQ, with Q and the extended line of AB
In triangle PAB
angle A = 42°, angle ABP = 130°
then angle APB = 8°
by sine law:
BP/sin42 = 30/sin8
BP = 30sin42/sin8
In the right-angled triangle BPQ
sin50 = PQ/BP
PQ = BPsin50
= (30sin42/sin8)(sin50)
carry on with the button-pushing
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.