Question

On a straight line passing through the foot of a tower, two points C and D are at distance of 4cm and 16cm from the foot respectively. If the angles of elevation from C and D of the top of the tower are complementary, then find the height of the tower

Answer 1

I think it will help you.
thanks for watching the answer.

Answer 2

Answer: The height of the tower is 8 cm.

Step-by-step explanation:

Since we have given that

Distance between the foot of the tower and the point C = 4 cm ( a)

Distance between the foot of the tower and the point D = 16 cm ( b)

Since we have also given that the angles of elevation from C and D of the top of the tower are complementary.

We need to find the height of the tower:

$Height=\sqrt{ab}\\\\Height=\sqrt{4\times 16}\\\\Height=\sqrt{64}\\\\Height=8\ cm$

Hence, the height of the tower is 8 cm.