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A man standing on a level ground observes the angle of elevation of the top...

A man standing on a level ground observes the angle of elevation of the top of a tower to be 30°. He walks 40 meters towards the tower and finds the angle of elevation to be 60°. Calculate the height of the tower.


From the top of a building 80 meters high, the angles of depression of two points on the ground are 30° and 45°. If the points are on the same side of the building and in the same straight line with it, and the distance between them is 40 meters, find the height of a pole standing at the midpoint of the line joining the two points

A surveyor standing on a hill observes the angle of elevation to the top of a building to be 45°. If the building is 60 meters tall and the surveyor is 120 meters away from the point directly below the building, find the height of the hill and the distance from the surveyor to the top of the buildin
A ship sails due north from a port at a speed of 15 km/h. After 3 hours, the angle of elevation of a lighthouse due east of the ship is 60°. If the lighthouse is 80 meters tall, find the distance of the ship from the lighthouse and the bearing of the lighthouse from the ship.


From the top of a cliff 200 meters high, the angles of depression of two boats in the same straight line with the cliff are 25° and 40°. If the boats are on the same side of the cliff, calculate the distance between the two boats and the distance from the cliff to the nearer boat.?

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