Answer to Question #1935 in Trigonometry for Neil Horne
a) What is the height of the building, and
b) How close was the student to the bottom of the building after she had walked the 24 ft?
sin 18.8 = H/(X+24) and
sin 20.2 = H/X
Let's solve the system of equations:
0.322(X+24) = H
0.345X = H
0.322(X+24)& = 0.345X
0.023X = 7.728
The distance from the building is X = 336 ft
The height of the building is H = 0.345*336 = 115.92 ft
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