A flag staff stands on a tower and angles of elevation of the top and bottom of the flag - staff from a point on the ground are 75° and 45°. the ratio between tower and flag staff is
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Answered by
2
Step-by-step explanation:
h 1 = height of tower
h 2 = height of flag Staff
tan 45 = h 1 /d ⇒ d = h 1
tan 75 =( h 1 + h 2 ) /d ⇒ ( 2+ √ 3 ) = ( h 1 + 2 ) h 1
⇒ 2 + √ 3 = 1 + h 2/ h 1
h 1 /h 2 = 1 √ 3 + 1
⇒ h 1 :h 2 = ( √ 3 − 1 ) : 2
Answered by
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Step-by-step explanation:
Step-by-step explanation:
h
1
=
height of tower
h
2
=
height of flag Staff
tan
45
=
h
1
/d
⇒
d
=
h
1
tan
75
=(
h
1
+
h
2
)
/d
⇒
(
2+
√
3
)
=
(
h
1
+
2
)
h
1
⇒
2
+
√
3
=
1
+
h
2/
h
1
h
1
/h
2
=
1
√
3
+
1
⇒ h
1
:h
2
=
(
√
3
−
1
)
:
2
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