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A kite is flying at a height of 60 m above the ground. The string attached to the kite is temporarily tied to a point on the ground. Find the length of the string, assuming that there is no slack in the string. Find the distance he walked towards the building.
A statue, 1. Find the height of the pedestal. If the tower is 50 m high, find the height of the building. Two poles of equal heights are standing opposite each other on either side of the road, which is 80 m wide.
Find the height of the poles and the distance of the point from the poles. A TV tower stands vertically on a bank of a canal. Find the height of the tower and the width of the CD and 20 m from pole AB. Determine the height of the tower. If one ship is exactly behind the other on the same side of the lighthouse, find the distance between the two ships.
Find the distance travelled by the balloon during the interval. A straight highway leads to the foot of a tower. Find the time taken by the car to reach the foot of the tower from this point.
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. The height or length of an object or the distance between two distinct objects can be determined with the help of trigonometric ratios. The observer is looking at the top of the pole. The length of a tangent from a point A at distance 5 cm from the centre of the circle is 4 cm.
Find the radius of the circle. Two concentric circles are of radii 5 cm and 3 cm. Find the length of the chord of the larger circle which touches the smaller circle. A quadrilateral ABCD is drawn to circumscribe a circle see figure.
Prove that the angle between the two tangents drawn from an external point to a circle is supplementary to the angle subtended by the line segment joining the points of contact at the centre.
Prove that the parallelogram circumscribing a circle is a rhombus. A triangle ABC is drawn to circumscribe a circle of radius 4 cm such that the segments BD and DC into which BC is divided by the point of contact D are of lengths 8 cm and 6 cm respectively see figure. Find the sides AB and AC. Prove that opposite sides of a quadrilateral circumscribing a circle subtend supplementary angles at the centre of the circle.
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