the angle of elevation of the top of Tower from two points on the ground at a distance a metre and B metre from the base of the tower and in the same straight line the complementary prove that height of tower is √ab m
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tan@=h/a .......eq(1),
tan(90-@)=h/b
cot@=h/b .........eq(2),
multiplying eq(1) and eq(2), we get
tan@ × cot@=h/a × h/b,
1=h²/ab,
h²=ab,
then
h=√ab
tan(90-@)=h/b
cot@=h/b .........eq(2),
multiplying eq(1) and eq(2), we get
tan@ × cot@=h/a × h/b,
1=h²/ab,
h²=ab,
then
h=√ab
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