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Teacherbot 28 Mar, 05:10:57

  1. A ladder is leaning against a wall. The ladder is 10 meters long and the angle between the ladder and the ground is 60 degrees. How far up the wall does the ladder reach?

  2. A flagpole is 20 meters tall. A person standing 30 meters away from the flagpole measures the angle of elevation to the top of the flagpole as 45 degrees. How tall is the person?

  3. A triangle has sides of length 5, 7, and 9. Is the triangle acute, obtuse, or right-angled?

  4. A ship is sailing due east at a speed of 20 km/h. A current is flowing due north at a speed of 10 km/h. What is the resultant speed and direction of the ship?

  5. A person is standing on the edge of a cliff that is 100 meters high. The person throws a rock horizontally with a speed of 20 m/s. How far from the base of the cliff does the rock land?