Trigonometric Ratios Worksheet Page 22
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22C
13. A drill bit is in the shape of a cone.
The angle at the vertex of the cone is
15. Two roads intersect at an angle of 38��.
15��. The length of the slanted side of
Two cars, A and B, leave the intersection
the drill bit is 13 mm. Determine the
at the same time and both travel in an
diameter at the top of the drill bit.
easterly direction. After 2 h, car A has
travelled 140 km and car B has travelled
14. In order to measure the height of a
1�0 km. At this time, a hot-air balloon is
cliff, AB, a surveyor uses a baseline,
directly above the line between the two
CD, and records the following data:
cars. The balloonist notices that the angle
∠BCD = �4.3��, ∠BDC = 55.2��,
of depression to the faster car, which is 1
CD = 240 m, and ∠ACB = 28��. Draw a
km away from the hot-air balloon, is 25��.
diagram to illustrate this situation, and
Determine the distance from the hot-air
then determine the height of the cliff.
balloon to the slower car.
Chapter 1: Checklist
By the end of this chapter, I will be able to:
• determine the values of the trigonometric ratios for angles between 0�� and 3�0��
�� and 3�0��
and 3�0�� ��
• solve problems using the primary trigonometric ratios, the sine law, and the
cosine law
• determine the exact values of the sine, cosine, and tangent ratios of the special angles
0��, 30��, 45��, �0��, 90��, and their multiples
• determine the values of the sine, cosine, and tangent ratios of angles from 0�� to 3�0��,
�� to 3�0��,
to 3�0��, ��, ,
through investigation using a variety of tools and strategies
• determine the measures of two angles from 0�� to 3�0�� for which the value of a given
�� to 3�0�� for which the value of a given
to 3�0�� for which the value of a given
�� for which the value of a given
for which the value of a given
trigonometric ratio is the same
• solve multi-step problems in two and three dimensions, including those that arise
from real-world applications by determining the measures of the sides and angles of
right triangles, using the primary trigonometric ratios
• solve problems involving oblique triangles, including those that arise from real-world
applications, using the sine law (including the ambiguous case) and the cosine law
22 MHR • Chapter 1 978-0-07-090893-2
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