5. An observer on a cliff wishes to determine the height of the cliff h. He notices two boats on the sea. From his position (D), the angle of depression of the two boats E and F on the sea directly east of him are a and 3 respectively. The boats are x metres apart. (b) h C Determine the length of DE in terms h and a. Determine D, in terms of a and B. В E a

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter4: Quadrilaterals
Section4.3: The Rectangle, Square, And Rhombus
Problem 42E: a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three...
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5.
An observer on a cliff wishes to determine
the height of the cliff h. He notices two boats
on the sea. From his position (D), the angle
of depression of the two boats E
and F on the sea directly east of him
are a and 3 respectively.
The boats are x metres apart.
(b)
(c)
(d)
h
C
Determine the length of DE in terms h and a.
Determine D, in terms of a and B.
Show that h=
В
E
a
X
xsin a sinß
sin (a-B)
Calculate the height of the cliff if x=250 m, c = 65° and B=30°.
Transcribed Image Text:5. An observer on a cliff wishes to determine the height of the cliff h. He notices two boats on the sea. From his position (D), the angle of depression of the two boats E and F on the sea directly east of him are a and 3 respectively. The boats are x metres apart. (b) (c) (d) h C Determine the length of DE in terms h and a. Determine D, in terms of a and B. Show that h= В E a X xsin a sinß sin (a-B) Calculate the height of the cliff if x=250 m, c = 65° and B=30°.
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