Home
Class 10
MATHS
The angles of elevation of the top of a...

The angles of elevation of the top of a tower from two points at a distance of 4 m and 9 m from the base of the tower and in the same straight line with it are complementary. Prove that the height of the tower is 6 m.

Text Solution

AI Generated Solution

To solve the problem step by step, we will use trigonometric ratios and properties of complementary angles. ### Step 1: Understand the Problem We have a tower of height \( AB \) and two points \( C \) and \( D \) at distances of 4 m and 9 m from the base \( A \) of the tower. The angles of elevation from these points to the top of the tower are complementary, meaning their sum is \( 90^\circ \). ### Step 2: Define the Angles Let the angle of elevation from point \( C \) (4 m away) be \( \theta \). Therefore, the angle of elevation from point \( D \) (9 m away) will be \( 90^\circ - \theta \). ...
Promotional Banner

Similar Questions

Explore conceptually related problems

The angle of elevation of the top of a tower from two points at a distance of 4 m and 9 m from base of the tower and in the same straight line with it are complementary. Prove that the height of the tower is 6 m. OR The angles of elevation of the top of a tower from two points at a distance of 4 m and 9 m from the base of the tower of the tower and in the same straight line with it are 60^(@)" and "30^(@) respectively. Find the height of the tower.

The angles of elevation of the top of a tower from two points at a distances a meter and b metres from the base of the tower and in the same straight line with it are complementary. Prove that the height of the tower is sqrt(a b) metres.

If the angles of elevation of the top of a tower from two points at a distance of 4m and 9m from the base of the tower and in the same straight line with it are complementary, find the height of the tower.

If the angles of elevation of a tower from two points distant a and b from the base and in the same straight line with it are complementary, then the height of the tower is (a) a b (b) sqrt(a b) (c) a/b (d) sqrt(a/b)

The angle of elevation of the top of a vertical tower from two points distance a and b from the base and in the same line with it, are complimentary .If theta is the angle subtended at the top of the tower by the line joining these points then sin theta =

The angle of elevation of the top of a tower from a point 40 m away from its foot is 60^(@) . Find the height of the tower.

The angle of elevation of the top of a tower from a point on the ground, which is 40 m away from the foot of the tower is 30^(@) . Find the height of the tower.

The angle of elevation of the top of a tower from a point on the ground, which is 30m away from the foot of the tower is 30^@ . Find the height of the tower.

The angle of elevation of the top of a tower from a point on the ground, which is 30m away from the foot of the tower, is 30^@ . Find the height of the tower.

The angle of elevation of the top of a tower from a point on the ground, which is 30 m away from the foot of the tower is 30^@ . Find the height of the tower.