Trigonometric Ratios Worksheet Page 13
ADVERTISEMENT
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
224. From a point 5 m from the base of a
10. Zac is standing 10 m from the centre
tree, the angle of elevation to the top
of a fountain�� Water shoots straight up
of the tree is 38��� �ra�� a diagram, and
��� �ra�� a diagram, and
�� �ra�� a diagram, and
from the fountain’s centre�� Shortly after,
then determine the height of the tree��
the angle of inclination of the highest
point of the ��ater is 46��� Fifteen seconds
��� Fifteen seconds
�� Fifteen seconds
5. The shado�� of a building that is 28 m
later, the angle of inclination is 60��� ��� ��
in height measures 20 m in length�� �ra��
a) �ra�� a diagram��
a diagram, and then determine the angle
b) �etermine the height of the highest
of elevation of the sun��
point of the ��ater at each angle of
inclination��
6. If you kno�� a triangle contains a right
angle, ��hat other information is required
c) �etermine the average speed, in
to solve the triangle?
metres per second, at ��hich the ��ater
shoots up��
B
7. A rectangle is 16 cm long and 12 cm ��ide��
11. Explain ho�� you could find the height
of a radio antenna on top of a tall
a) �etermine the length of the
observation to��er using a measuring
diagonals of the rectangle��
tape, a clinometer, and trigonometry��
b) �etermine the measure of the angle
12. A patio has the shape sho��n�� �etermine
formed by the length of the triangle
the total ��idth, w, of the patio��
and a diagonal��
12.6 ft
8. T��o guy ��ires from the top of a radio
37°
to��er are fixed to the ground 20 ft
w
apart, at points A and B�� The to��er is
18.9 ft
half��ay bet��een points A and B�� From
both points, the angle of elevation to
62°
the top of the to��er is 72���
13. Boat A is 5 km northeast of a
a) �ra�� a diagram��
lighthouse, L, and boat B is 7 km
southeast of the lighthouse��
b) �etermine the height of the to��er��
a) �etermine the distance bet��een the
c) �etermine the total length of the t��o
boats��
guy ��ires��
b) �etermine the measure of ∠ALB��
9. Kevin is standing at a point A, 20 m
from the base of a building�� From
14. The base of a square-based pyramid has
point A, the angle of elevation to point
length 8��4 cm�� The slant height of the
B is 28�, and the angle of elevation to
pyramid is 12��1 cm��
point C is 38��7��� �etermine the vertical
�etermine the vertical
distance bet��een points B and C��
C
12.1 cm
B
8.4 cm
38.7°
a) �etermine the height of the pyramid��
28°
A
20 m
b) What is the angle bet��een one triangular
face of the pyramid and the base?
978-0-07-090893-2 Mathematics for College Technology 12 Study Guide and Exercise Book • MHR 13
Printer Pdf
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education