HARD
10th ICSE
IMPORTANT
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In the figure, given below, it is given that AB is perpendicular to BD and is of length X metres. DC=30m,ADB=30° and ACB=45°

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Important Questions on Heights and Distances

HARD
10th ICSE
IMPORTANT
Find the height of a tree when it is found that on walking away from it 20m, in a horizontal line through its base, the elevation of its top changes from 60° to 30°.
HARD
10th ICSE
IMPORTANT
Find the height of a building, when it is found that on walking towards it 40m in a horizontal line through its base the angular elevation of its top changes from 30° to 45°.
HARD
10th ICSE
IMPORTANT
From the top of a lighthouse 100m high, the angles of depression of two ships are observed as 48° and 36° respectively. Find the distance between the two ships (in the nearest meter) if the ships are on the same side of the lighthouse.
HARD
10th ICSE
IMPORTANT
From the top of a lighthouse 100m high, the angles of depression of two ships are observed as 48° and 36° respectively. Find the distance between the two ships (in the nearest metre) if the ships are on the opposite sides of the lighthouse.
HARD
10th ICSE
IMPORTANT
Two pillars of equal heights stand on either side of a roadway, which is 150 m Wide. At a point in the roadway between the pillars the elevations of the tops of the pillars are 60° and 30°; find the height of the pillars and the position of the point.
HARD
10th ICSE
IMPORTANT

From the figure, given below, calculate the length of CD.

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HARD
10th ICSE
IMPORTANT
The angle of elevation of the top of a tower is observed to be 60°. At a point, 30m vertically above the first point of observation, the elevation is found to be 45°. Find the height of the tower.
HARD
10th ICSE
IMPORTANT
The angle of elevation of the top of a tower is observed to be 60°. At a point, 30m Vertically above the first point of observation, the elevation is found to be 45°. Find its horizontal distance from the points of observation.