Transcript Ships at Sea

Ships at Sea
Trigonometry
Angles of depression
The diagram shows a cliff 120 metres high.
From the top of the cliff,
the angles of depression of two ships
at sea are 38° and 53° respectively.
horizontal
38°
53°
120m
■
Ship1
C
L
I
F
F
■
Ship2
Sea
Use trigonometry to find the distance between the two ships.
Repeat the previous calculations to find
the distance between the ships
in the examples below.
Height of
the cliff (metres)
Angles of depression
of the two ships
127
22° and 34°
176
26° and 32°
216
18° and 28°
150
27° and 38°
133
20° and 30°