Scare of heights?
Geometry
Level
2
Which is the height of the tower above?
Note: Give the answer in meters
The answer is 28.
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1 solution
first find the missing angle. 180 - 75 - 58 = 47 degrees using this, we can use the sine rule to calculate one of the sides (i chose the right side of the triangle) 25/(sin(47)) = x/(sin(58)) x=28.989 where x is the length of the right side of the triangle Using this value and trig equation cos(y) = h/x, where y = the upper angle (180 - 90 - 75 = 15) and h is the height. Therefore h = 28.989 x Cos(15) = 28 metres