the angle of elevation of top of the rock to top of the tower and foot of the tower is 30 and 60 degrees the height of tower is 100m find the height of the rock?
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Step-by-step explanation:
ANSWER
In △ABD,∠ADB=45
o
∴tan45=
BD
AB
1=
BD
h
BD=h
In △AEC,∠ACE=30
o
∴tan30=
CE
AE
3
1
=
h
h−100
h=
3
h−100
3
3
h−h=100
3
h(
3
−1)=100
3
h=
3
−1
100
3
×
3
+1
3
+1
=
3−1
100
3
=50
3
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