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The angle of elevation of the top of a tower from a point A Con the sound is 30walking 50 m towards the tower, the angle of elevation is found to be late(i) the height of the tower (correct to one dedmal place)(1) the distance of the tower from A |
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Answer» Answer: POINTS of OBSERVATION Then AD AB
0 =
⇒AD= 3
AB
= 3
h
AC AB
=tan30 0 = 3
1
⇒AC=AB× 3
=h 3
CD=(AC−AD)=(h 3
− 3
h
) ∴h 3
− 3
h
=24⇒h=12 3
=(12×1.73) =20.76m Hence the height of the tower is 20.76 m |
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