Page 2 - 10 Math Worksheet-Ch 9-

(a)15√3

(b)10√3

(c)12√3

(d)20√3
7. The tops of two towers of height x and y, standing on level ground, subtend
angles of 30° and 60° respectively at the centre of the line joining their feet, then
find x:y
8. Two men on either side of a 75 m high building and in line with base of building
observe the angles of elevation of the top of the building as 30° and 60°. Find the
distance between the two men
9. A kite is flying at a height of 45 m above the ground. The string attached to the
kite is temporarily tied to a point on the ground. The inclination of the string with
the ground is 60°. Find the length of the string assuming that there is no slack in
the string.
10. The angle of elevation of the top of a building from the foot of the tower is 30° and
the angle of elevation of the top of the tower from the foot of the building is 60°. If
the tower is 60 m high, find the height of the building.
11. The angle of elevation of the top of a building from the foot of the tower is 30° and
the angle of deviation of the top of the tower from the foot of the building is 45°. If
the tower is 30 m high, find the height of the building.

12. An aeroplane, when flying at a height of 4000 m from the ground passes
vertically above another aeroplane at an instant when the angles of elevation of
the two planes from the same point on the ground are 60° and 45° respectively.
Find the vertical distance between the aeroplanes at that instant

13. Two ships are there in the sea on either side of a light house in such a way that
the ships and the light house are in the same straight line. The angles of
depression of two ships as observed from the top of the light house are 60° and
45°. If the height of the light house is 200 m, find the distance between the two
ships.
14. From a point P on the ground the angle of elevation of the top of a tower is 30°
and that of the top of a flagstaff fixed on the top of the tower, is 60°. If the length
of the flagstaff is 5 m, find the height of the tower.

15. The angles of elevation and depression of the top and the bottom of a tower from
the top of a building, 60 m high, are 30° and 60° respectively. Find the difference
between the heights of the building and the tower and the distance between them