Question
A 16-meter-long rope is stretched from the ground to the
top of a house, forming a 30° angle with the ground. Determine the height of the house.Solution
Let AB be the height of the house and AC be the length of the rope
In right ΔABC
sin30° = (AB/AC)
Or, (1/2) = (AB/16)
Or, AB = (16/2) = 8
Therefore, the height of the house = 8 metres
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