If the altitude of the sun is at `60^@` , then the height of the vertical tower that will cast a shadow of length 30m is
(a)`30sqrt(3)m`
(b) `15 m`
(c) `(30)/(sqrt(3))m`
(d) `15sqrt(2)m`

If the elevation of the sun is 30^@ , then the length of the shadow cast by a tower of 150 ft. height is

If the angle of elevation of a tower from a distance of 100 metres from its foot is 60^@ , then the height of the tower is (a) 100sqrt(3)m (b) (100)/(sqrt(3))m (c) 50sqrt(3)m (d) (200)/(sqrt(3))m

The height of an equilateral triangle is sqrt(6)\ c mdot Its area is (a) 3sqrt(3)\ c m^2 (b) 2sqrt(3)\ c m^2 (c) 2sqrt(2)\ c m^2 (d) 6sqrt(2)\ c m^2

The angles of depression of two ships from the top of a light house are 45^@ and 30^@ towards east. If the ships are 100 m apart, the height of the light house is (a) (50)/(sqrt(3)+1)m (b) (50)/(sqrt(3)-1)m (c) 50(sqrt(3)-1)m (d) 50(sqrt(3)+1)m

In Figure, A P is a tangent to the circle with centre O such that O P=4c m and /_O P A=30^@ . Then, A P= (a) 2sqrt(2)c m (b) 2c m (c) 2sqrt(3)c m (d) 3sqrt(2)c m

Find the angle of elevation of the Sun when the shadow of a pole h m high is sqrt3 h m long.

The length of the hypotenuse of an isosceles right triangle whose one side is 4sqrt(2) cm is 12 c m (b) 8c m (c) 8sqrt(2)c m (d) 12sqrt(2)c m

A vertical pole 2 m 80 cm high, casts a shadow 1 m 60 cm long. Find, at the same time The height of the pole which casts a shadow of length 2 m 50 cm.

AB is a vertical pole with B at the ground level and A at the top. A man finds that the angle of elevation of the point A from a certain point C on the ground is 60o . He moves away from the pole along the line BC to a point D such that C D""=""7""m . From D the angle of elevation of the point A is 45o . Then the height of the pole is (1) (7sqrt(3))/2 1/(sqrt(3)-1)m (2) (7sqrt(3))/2 sqrt(3)+1m (3) (7sqrt(3))/2 sqrt(3)-1m (4) (7sqrt(3))/2 sqrt(3)+1m

The radius of a circle is 6 cm. The perpendicular distance from the centre of the circle to the chord which is 8 cm in length, is (a) sqrt(5)\ c m (b) 2sqrt(5)\ c m (c) 2\ sqrt(7)\ c m (d) sqrt(7)\ c m