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Practice Height and Distance Questions and Answers

Two men are on opposite sides of a tower of 75 m height. If they measure the elevation of the top of the tower as 30deg; and 45deg; respectively then the d...
At the foot of the Lighthouse, the elevation of its top is 45⁰. A Bird after flying 8 km towards the building up a slope of 30⁰ inclinations, the eleva...
Two boys are on opposite sides of a tower of 100 m height. If they measure the elevation of the top of the tower as 30° and 45° respectively then t...
The height of a conical tent is 9m. A vertical pole of 6m height is placed 4 m away from its centre such that it touches the surface. Find the slant height...
The distance between two parallel poles is 65√3 m. The angle of depression of the top of the second pole when seen from the top of first pole is 30o ...
Find the area of maximum side of square that can be inscribed in a right angled triangle of side 15, 20 and 25 cm.
The shadow of a pole 24m long is 56m. Then what will be the approximate shadow of building 40m high at the similar situation?
In the village of Hazelton, there was a totem pole 50 m high of which the lower 24 m was carved. According to a clue the treasure was hidden at a point on ...
A Navy captain going away from a lighthouse at the speed of 4[(√3) – 1] m/s. He observes that it takes him 1 minute to change the angle of elev...
A man 3 m tall is 23 m away from a tower 26 m high. Determine the angle of elevation of the top of the tower from the eye of the observer.
The length of the shadow of a vertical tower increases by 9 m on horizontal ground when the height of the sun changes from 45° to 30 ° , then find ...
From the top of a lighthouse, the angle of depression to the top and bottom of a tower is 30° and 45°, respectively. If the lighthouse is 210 metre...
A man whose height is 1.5 metres is standing 24√3 metres away from a light pole. The angle of elevation from his head to the top of the light pole is...
A pole 9√3 m high casts a shadow 27 m long on the ground. Find the angle of elevation
There are two houses of the same height on both sides of a 30-meter wide road. From a point on the road, elevation angles of the houses are 30° and 60&...
A tree breaks due to storm and the broken part bends, so that the top of the tree touches the ground making an angle of 30° with the ground. The distance ...
From 110m high towers, the angle of depression of a car is 45°. Then how far the car is from the tower?
A pole got broken by the wind whose top meets the ground at an angle of 30° at a distance of 45 meters from the foot. What was the total height of the ...
A boat is being rowed away from a cliff 240 m high. From the top of the cliff, the angle of depression of the boat changes from 60° to 45° in 3 min...
A man 2 m tall is 25 m away from a tower 27 m high. Determine the angle of elevation of the top of the tower from the eye of the observer.
The angle of elevation of an aeroplane from a point on the ground is 60°. After 20 seconds flight the elevation changes to 30°, if the aeroplane is...
There is a 12 m tall hoarding pole on the top of a building. A person at some distance from the building, observes that the angle of elevation to the top o...
If distance between two pillars of length 16 & 9 cm is x cm. If two angle of elevation of their respective top from a point on ground of other are comp...
The angle of depression of a point on the ground as seen from the top of a tower, 65 feet high, is 45°. Find the distance of the point on the ground from ...
A boat is being rowed away from a cliff 270 m high. From the top of the cliff, the angle of depression of the boat changes from 60° to 45° in 2 minutes. ...
There are two houses of the same height on both sides of a 15-meter wide road. From a point on the road, elevation angles of the houses are 30° and 60° r...
The length of the shadow of a vertical tower increases by 8 m on horizontal ground when the height of the sun changes from 45° to 30 ° , then find the he...
The angle of elevation of the top of a building from the foot of a tower is 30° and the angle of elevation of the top of the tower from the foot of the bu...

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