Question

the angle of elevation of the top of a tower from two poimts distant a and b from its foot are complementary.prove that the heights of tower is root ab​

Answer 1

Given,

Height of the tower = h

Distance between the tower and point one = BC = A meter

Distance between the tower and point one = BD = B meter

The ∠ACB +∠ADB = 90° (complementary angle) and ∠ABC=∠ABD=90°

Proved that

Consider

So

In right-angle triangle ABC

...........equation-1

In right-angle triangle ABD

...........equation-2

Now multiplying equation 1 with equation 2 we get

Hence RHS=LHS (proved)

Answer 2

Step-by-step explanation:

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