the angle of elevation of the top of a tower from two points P and Q at distances of 'a' and 'b' , respectively, from the base and in the same straight line with it are complementary. prove that the height of the tower is √ab
Answers
Answered by
53
Answer :
AB is a tower. D and Care two points on the same side of a tower, BD = a and BC = b.
∠ADB and ∠ACB are the complementary angles.
If ∠ADB = x, then ∠ACB = 90 – x
In ∆ADB,
………… (1)
In ∆ABC,
…………....(2)
Multiplying (1) and (2),
(AB)2 = ab
AB = √ab
Height of tower = AB = √ab
Hence proved.
Answered by
20
Answer:
ur answer is √ab.....
Step-by-step explanation:
hope it helps you
Attachments:
Similar questions