Question
From the top of a building, the angle of depression to a
point on the ground is 45 degrees. If the building is 50 meters high, how far is the point from the base of the building?Solution
Let the distance from the base of the building to the point be d meters. Using the angle of depression, we have: tan(45°) = height of the building / d 1 = 50 / d d = 50 meters Thus, the distance from the base of the building to the point is 50 meters.
A train 180 m long crosses a 270 m platform in 27 seconds. Find the speed in km/h.
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A train 120 m long passes a pole in 10 seconds. Find its speed in km/h.
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