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 distance between the men is?

- 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° respectively. Find the height of the houses.
- 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.
- 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 between the foot of the tree to the point where the top touches the ground is 12 m. Find the height of the tree (in metres)
- 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 of the hoarding pole from that point is the same as the angle of elevation to the bottom of the hoarding pole if he moves 4 √ 3 m closer to the building. What is the angle of elevation that the person is seeing?
- 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 elevation of the top of the lighthouse from 60o to 45o. What is the height (in metres) of the lighthouse?
- 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 complementary to each other, then value of x is
- 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 of the tent from the base to the point where the pole touches it?
- 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 flying at a height of 3000√3 m. find the speed of the aeroplane.
- 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 the height of the tower?
- 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 minutes. What is the speed of the boat?

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