Trigonometric Ratios Worksheet Page 14
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2215. Peter designed a garden pond, which is
19. Adriana is standing at point A, directly
in the shape of an inverted square-based
across the river from point B, at the base
pyramid. The side lengths of the base
of a cliff. From point A, the angle of
are 3 m, and the slant height is 2 m.
elevation to point C at the top of the
cliff is 60°. Dominic is standing at point
D, on the same side of the river and
3 m
30 ft farther down from point A.
3 m
AB = DB and ∠ABD = 90°.
a) Is there enough information to
determine, BC? Explain.
b) If your answer to part a) is yes,
determine BC. If your answer to
2 m
part a) is no, explain what
information is needed.
a) Determine the greatest depth of the
garden pond.
C
b) Determine the maximum volume of
20. Louis is standing at point A on the
water the pond can hold.
shoreline of a river. From where he is
standing, the angle of elevation to
16. The roof of a house is constructed in
point D at the top of a cliff across the
the shape of a square-based pyramid,
river is 25°. Louis walks to point B, which
and the lengths of the sides of the base
is 30 m east of point A, and determines
are 26 ft. The angle of elevation formed
that ∠ACB is 90° and ∠CAB is 38°.
by each side of the roof with the top of
Determine the height of the cliff.
the house is 32°. Determine the height
of the roof.
D
cliff
17. Determine the distance AC.
B
C
56°
54.3 m
river
38°
A
B
21. From point A on the level ground,
A
C
D
the angle of elevation of the top of
a building is 25°. From point B, 10 ft
18. Ella is standing on a bridge. From her
closer to the base of the building, the
location, the angle of elevation to the
angle of elevation of the top of the
top of a nearby building is 28°, and
building is 35°. Determine the height of
the angle of depression to the base of
the building.
the building is 42°. The least distance
between Ella and the building is 40 m.
Determine the height of the building.
14 MHR • Chapter 1 978-0-07-090893-2
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