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2 answers:
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<h2>A 30-meter high building sits on top of a 151.52 meter high hill.</h2>
Explanation:
According to the given data, we can draw a figure (Please refer the attachment below)
Building's height = 30 meter
Angle of elevation from a spot to the top of the building = 55 degrees
Angle of elevation from the spot to the top of the building = 50 degrees
To find the height of the hill, we need to use the formula,
then,
.... (1)
Similarly,
.... (2)
(1) = (2) becomes
[tex]\Rightarrow [tex] 1.428h = (30 + h)1.192
1.428h = 35.76 + 1.192h
1.428h - 1.192h = 35.76
0.236h = 35.76
h = 151.52 meter
Therefore, the hill highs 151.52 meter.