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A group of students wanted to determine the height of the Calgary Tower. They measured the angles of elevations from two points that were 2.9km away from each other on either side of the Tower. One angle measured 5.9 degrees 

while the other angle measured at 10.3 degrees. 

Using this information, algebraically determine the height of the Calgary Tower rounded to the nearest meter. (1km = 1000m)

(solve using sine or cosine)

 Jul 27, 2021
 #1
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sin 5.9 = h / x        and     sin 10.3 = h / (2.9-x)   

 

h / sin 5.9  = x         and       x = 2.9 -  h/ sin10.3      equate the two definitions of 'x' to calculate 'h'

 

h / (sin 5.9)  = 2.9 - h / (sin10.3)

 

h = .189 km = 189 m

 Jul 27, 2021

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