- The shadow of a tower is equal to its height at 10-45 a.m. The sun’s altitude is
- 30°
- 45°
- 60°
- 90°
- 12cm
- 6cm
- 9cm
- 6√3 cm
- In given figure, the value of ZC is
- 90°
- 45°
- 30°
- 60°
- A Technician has to repair a light on a pole of height 10 m. She needs to reach a point 1 m below the top of the pole to undertake the repair work. What should be the length of the ladder that she should use which, when inclined at an angle of 60∘ to the ground, would enable her to reach the required position? Also, how far from the foot of the pole should she place the foot of the ladder?
- 1/ 6√3 m
- √3/6 m
- 1/√3 m
- 6√3 m
- A statue, 2 m tall, stands on the top of a pedestal. From a point on the ground, the angle of elevation of the top of the statue is 60° and from the same point the angle of elevation of the top of the pedestal is 45°. Find the height of the pedestal.
- 2(√3 -1)
- 2(√3 +1)
- 1/2(√3 )
- (√3 +1)/2
- In given Fig., the angle of depression from the observing position D and E of the object at A are
- 60°,60°
- 30°,30°
- 30°,30°
- 60°,30°
- In given figure, the length of AP is
- (8√3)/3
- (80√3)/3
- 8√3
- 80√3
- When the length of shadow of a vertical pole is equal to √3 times of its height, the angle of elevation of the Sun’s altitude is
- 30°
- 45°
- 60°
- 15°
- The angle of elevation of top of a tower from a point on the ground, which is 30 m away from the foot of the tower is 30°. The length of the tower is
- √3 m
- 2√3 m
- 5√3 m
- 10√3 m
- A plane is observed to be approaching the airport. It is at a distance of 12 km from the point of observation and makes an angle of elevation of 60°. The height above the ground of the plane is
- 6√3 m
- 4√3 m
- 3√3 m
- 2√3 m
- The upper part of a tree is broken by the wind and makes an angle of 30° with the ground. The distance from the foot of the tree to the point where the top touches the ground is 5 m. The height of the tree is
- 10√33 m
- 5√33 m
- √3 m
- √3/5 m
- The angles of elevation of the top of a rock from the top and foot of 100 m high tower are respectively 30° and 45°. The height of the rock is
- 50m
- 150m
- 50√3m
- 50(√3+3)m
- The angle of depression of a car, standing on the ground, from the top of a 75 m high tower, is 30°. The distance of the car from the base of the tower (in m) is
- 25√3
- 50√3
- 75√3
- 150
- A ladder 15 m long just reaches the top of a vertical wall. If the ladder makes an angle of 60° with the wall, then the height of the wall is
- 15√3m
- 15√3/2m
- 15/2
- 15m
- The line drawn from the eye of an observer to the point in the object viewed by the observer is known as
- horizontal line
- Vertical line
- line of sight
- None
- The tops of two poles of heights 20 m and 14 m are connected by a wire. If the wire makes an angle of 30° with the horizontal, then the length of the wire is
- 8m
- 10m
- 12m
- 14m
- If two towers of heights h1 and h2 subtend angles of 60° and 30° respectively at the mid-point of the line joining their feet, then h1 : h2 =
- 1 : 2
- 1 : 3
- 2 : 1
- 3 : 1
- The angle of elevation of the top of a tower from a point 20 metres away from its base is 45°. The height of the tower is
- 10m
- 20m
- 30m
- 20√3 m