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alexkrol10
03.02.2020 •
Mathematics
Pls m asap for (8) a and b (show ! ) +lots of points!
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Ответ:
Ответ:
h = 91.33m
Therefore, the statue is 91.33 meters tall
Step-by-step explanation:
Let h represent the height of the statue and
d1 and d2 represent the distance between the torch and the statue at the two points.
Applying trigonometry.
For the first point;
Tan24° = h/d1
d1 = h/tan24°
For the second point;
50' = (50/60)°
60seconds = 1 degree
Tan(43+50/60)° = h/d2
d2 = h/tan(43+50/60)°
And from the question, the distance between the two points is given as 110m;
d1 - d2 = 110m
Substituting the values of d1 and d2;
h/tan24° - h/tan(43+50/60)° = 110m
h(1/tan24° - 1/tan(43+50/60)°) = 110m
h = 110m/(1/tan24° - 1/tan(43+50/60)°)
h = 110m/1.20446
h = 91.33m
Therefore, the statue is 91.33 meters tall