Question

Two posts are 'K' meter apart height of one is double that of the other. If the from the midpoint of line
segment joining the feet, an observer finds angle of elevation of their tops be complementary, then find
the height of shortest posts.
plzz answer​

Answer 1

2h m

Up zm

——2* im

Let ABand CD be two posts of heights hm and 2m

respectively such that BD be k m, pointP be the mid-point of BD, ZAPB = 8 and ZCPD = 90-8

Inright AABP,

AB

2h

tan = — =o0—c=

BP

Inright ACDP,

cot(90-8

Sm ep dae RS

ii)

tan = cot(90-8)

2h 2x2h

= 2hx2x2h = kxk

WW

ee

242

EE

Height of the shorter post = ——m