from a boat 400m away from a vertical cliff, the angles of elevation of the top and the bottom of a flag post are 53 degrees and 51° 24', respectively. find the height of the flag post. write the answer correct to the nearest whole number.
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Answer:
From a boat 300 metres away from a vertical cliff, the angles of elevation of the top and the foot of a vertical concrete pillar at the edge of the cliff are
respectively. Find the height of the pillar correct to the nearest metre.
1056847
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10th
Maths
Some Applications of Trigonometry
Heights and Distances
From a boat 300 metres away...
MATHS
From a boat 300 metres away from a vertical cliff, the angles of elevation of the top and the foot of a vertical concrete pillar at the edge of the cliff are 55
∘
40
′
and 54
∘
20
′
respectively. Find the height of the pillar correct to the nearest metre.
1056847
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ANSWER
In ΔBDC
tan54
0
20
′
=
300
h
1.37=
300
h
=h=411
Now in ΔABC
tan55
0
40
′
=
300
x+411
⇒1.42=
300
x+411
⇒426=x+411
⇒x=15