Download REVIEW Chapter 8: Trigonometric Ratios 8.2

Date
Name
Per.
REVIEW Chapter 8: Trigonometric Ratios
8.2 Trigonometric Ratios
(Check that your calculator is in DEGREE mode. Tip: If tan45=l, then your calculator is in the correct mode.)
1. Trig Ratios: Soh-Cah-Toa
sinZA = 0
cosZA=
tanZA
2. Given the triangle below, find the sin, cos, and tan for angle M and T. As a fraction and decimal
to the hundredths place.
sin
cos Z M =
1^
cos Z T =
7^^
tan Z M = • 1
3. If 0 = 14 ° and the hypotenuse is 12, what is the approximate perimeter of the triangle?
a. )
14.5
b. )
26-5
c. )
2.9
d. )
11.6
A- IX( CosK)
4. If c = 50 and angle X is 65 degrees, what is the approximate area of the triangle?
a. )
b. )
352.23
402.45
c)
423.22
478.77
(S-
,
'^'•^ Cf^ -
5oCs'.-l^^^
^
^ ^'
CCS t p S - • • ' 5 0 '
Date
Name
Per.
5. A right triangle has an angle that measures 55°. The leg adjacent to this angle has a length of 43
cm. What is the length of the other leg of the triangle? Round to the nearest tenth.
4^ (-V^nS5>-0^
45
8.3 Inverse of Trig. Ratios
6.
Using trig ratios. Solve the right triangles. Round angles to the nearest degree and sides to
the hundredths.
a.
0
0
Q.
6.
13
f.
^
D
28=
14
H
Cos
-
o
I M
7. A ramp was built by the loading dock. The height of the loading platform is 4 feet. Determine
the length of the ramp if it makes a 32° angle with the ground.
8. Janelle sets her treadmill grade to 6%. What is the angle that the treadmill surface makes with a
horizontal line? Round to the nearest degree.
9. If cos A= 0.28, which angle in the triangles below is Z A ?
9 cm
4flian
Name
Date
Per.
10. Right triangle ABC is graphed on the coordinate plane and has vertices at A ( - l , 3), 5(0, 5), and
C(4, 3). What is the measure of ZC to the nearest degree?
no
8.4 Angle of Elevation and Depression
11. A jet rises vertically 2000 feet over a horizontal distance of 2856 feet. To the nearest degree,
what is the angle of elevation of the jet's path?
7.000
12. Mayuko is sitting 30 feet high in a football stadium. The angle of depression to the center of the
field is 14°. What is the horizontal distance between Mayuko and the center of the field? Round
to the nearest foot.
13. A surveyor 50 meters from the base-of a cliff measures the angle of elevation to the top of the
cliff as 72°. What is the height of the cliff? Round to the nearest meter.
14. The figure shows a person parasailing. What is x, the height of the parasailer, to the nearest
foot?
MOO
15. Shane is 61 feet high on a ride at an amusement park. The angle of depression to the park
entrance is 42°, and the angle of depression to his friends standing below is 80°. How far from
the entrance are his friends standing? Round to the nearest foot.
16. Simplify the radicals
a. VT25
b. Vl92 -
gvj^
12
-9^ _
i
'~t—
SinC-
iK
5