the angle of elevation of top of tower from two point at a distance of 9m and 16 m representative from base in same straight line with it are complementary find the height of tower
Answers
Answered by
1
Answer:
∠C and ∠D are complementary .....given
In △ABC,
BC
AB
=tanQ ...(i)
In △ABD,
BD
AB
=tan(90−Q)
9
AB
=cotQ ...(ii)
9
AB
=
tanQ
1
andtanQ=
AB
7
Put value of tanQ in eqn (ii)
∴
BC
AB
=
AB
9
AB
2
=9BC
AB=
36
=6
Height of tower =6m
Similar questions