Mathematics for IGCSE & O level - Pythagoras' Theorem And Trigonometry (Section 1 - No. 34)
If the angle of elevation from a point on the ground to the top of a building is 45 degrees, and the horizontal distance to the building is 100 meters, what is the height of the building?
50 meters
70.7 meters
100 meters
141.4 meters
Explanation
With a 45-degree angle, the opposite and adjacent sides are equal, so the height equals the distance.
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