Solve this and take away 50 points
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15.24cm
Step-by-step explanation:
Height of hill = 36m
Let h be the height of the tower and let distance between the hill and tower be x.
Now, tan 45 = 36 / x
1 = 36/x
x= 36 cm
Also, tan 30 = (36-h) / x
1/√3 = (36-h) / 36
36 / √3 = 36-h
36-h = 36√3 / 3 (on rationalizing the denominator)
36-h = 12√3
h = 36 - 12√3
on substituting the value of √3 as 1.73
h = 36 - 12*1.73 = 36-20.76 = 15.24 cm
Therefor height of the tower is 15.24cm
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