19. From the top of a hill 200 m high, the angles of depression of the top and the bottom of a pillar are
45 and 59°36 respectively. Find the height of the pillar and its distance from the hill.
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Step-by-step explanation:
ANSWER
tanα=
a
h−d
tanβ=
a
h
tanβ
tanα
=
h
h−d
⇒
tanβ
tanα
=1−
h
d
⇒
h
d
=
tanβ
tanβ−tanα
⇒d=h(
tanβ
tanβ−tanα
)
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