The angle of elevation of the top of a tower from two points A and B at a distance 80m and 20m respectively from the foot and in the same straight line with it are complementary. What is the height of the tower
Answers
Answered by
0
Answer:
Given,
the angle of elevation of the top of the tower from two points P & Q is at a distance of a & b.
Also given, to prove that the tower
height=
ab
(∵ complementary angle =(90
o
−θ))
From ΔABP
tanθ=
BP
AB
=
a
AB
……..(1)
From ΔABQ
tan(90−θ)=
BQ
AB
(∵tan(90−θ)=cotθ)
(cotθ=
tanθ
1
We get,
cotθ=
AB
BQ
=
AB
b
……..(2)
by equation (1) & (2) we get,
a
AB
=
AB
b
⇒AB
2
=ab⇔AB=
ab
∴AB=height=
ab
Hence proved.
)
Step-by-step explanation:
Search in internet you will get a clear answer and mark me as brainliest.
Similar questions
Art,
10 hours ago
Chemistry,
10 hours ago
Physics,
10 hours ago
Computer Science,
20 hours ago
Math,
20 hours ago
Science,
8 months ago
Political Science,
8 months ago