Download Week 5: Final Review Please login this address to complete for final

Week 5: Final Review
Please login this address to complete for final review; and you must show work for earn credits.
http://austin.agilemind.com/LMS/lmswrapper/LMS.html
Notes:
1. Law of sines
2. Law of cosine
3. Heron’s Formula to find area of a triangle given only three sides
4. Find area of a triangle using sine function
5. Inverse trig function
6. SOHCAHTOA
Classwork
____
C
1. Find the value of theB sine, cosine, and tangent functions for
where
,
, and
.

A
2.Use a trigonometric function to find the value of x.
45º
x
80
____
3. After takeoff from an airport, an airplane’s angle of ascent is 10 . The airplane climbs to an altitude of 10,000
feet. At that point, what is the land distance between the airplane and the airport? Round your answer to the
nearest foot.
10,000 ft
10º
x
____
4. A surveyor whose eye level is 5 feet above the ground determines the angle of elevation to the top of an office
building to be 41.7°. If the surveyor is standing 40 feet from the base of the building, what is the height of the
building to the nearest foot?
____
5. Find the values of the angle 

25
60

c
___ 6.
____
Evaluate the inverse trigonometric function
. Give your answer in both radians and degrees.
7. A 35-foot telephone pole casts a 46-foot shadow on the ground while the sun is shining. To the nearest degree,
what is the angle of elevation of the sun from the end of the shadow?
Sun
35 ft
?
46 ft
____
8. A triangle has a side with length 7 feet and another side with length 9 feet. The angle between the sides
measures 71º. Find the area of the triangle. Round your answer to the nearest tenth.
____
9. Solve the triangle.
,
, and
. Round to the nearest tenth.
N
p
M
m
P
n
____ 10. Two airplanes leave the airport at the same time. One airplane flies due east at a speed of 300 miles per hour.
The other airplane flies east-northeast at a speed of 350 miles per hour (the angle between the two directions is
22.5º). If the planes are at the same altitude, how far apart are they after 2 hours? Round your answer to the
nearest mile.
____ 11. A building has a triangular floor with sides of 150, 200, and 280 feet. To the nearest square foot, what is the area
of the floor of the building?
Quick check 76: you must show work to earn credits.
____
1. Find the value of the sine, cosine, and tangent functions for
C
B

A
a.
12
13
;
5
13
;
5
12
b.
5
13
;
12
13
;
5
12
c.
5
13
;
12
13
;
12
5
where
,
, and
.
d.
____
12
13
5
13
;
12
5
;
2. Use a trigonometric function to find the value of x.
45º
x
100
____
a. x = 50
c. x = 100
b. x = 45
d. x = 100
3. After takeoff from an airport, an airplane’s angle of ascent is 10 . The airplane climbs to an altitude of 10,000
feet. At that point, what is the land distance between the airplane and the airport? Round your answer to the
nearest foot.
10,000 ft
10º
x
____
____
a. 1,763 ft
c. 56,713 ft
b. 57,588 ft
d. 15,424 ft
4. A surveyor whose eye level is 5 feet above the ground determines the angle of elevation to the top of an office
building to be 41.7°. If the surveyor is standing 40 feet from the base of the building, what is the height of the
building to the nearest foot?
a. 41 ft
c. 32 ft
b. 50 ft
d. 36 ft
5. Find the values of the six trigonometric functions for 

9
12

c
a. sin  =
4
7
; cos  =
3
7
;
c. sin  =
3
7
; cos  =
4
7
;
tan  =
4
3
; csc  =
7
4
;
tan  =
3
4
; csc  =
7
3
;
sec  =
7
3
; cot  =
3
4
sec  =
7
4
; cot  =
4
3
b. sin  =
4
5
; cos  =
3
5
;
d. sin  =
3
5
; cos  =
4
5
;
tan  =
4
3
; csc  =
5
4
;
tan  =
3
4
; csc  =
5
3
;
sec  =
5
3
; cot  =
sec  =
3
4
5
4
; cot  =
4
3
Quick check 77: you must show work to earn credits.
____
6. Evaluate the inverse trigonometric function
a.
or
b.
____
c.
d.
or
. Give your answer in both radians and degrees.
or
or
7. A 35-foot telephone pole casts a 46-foot shadow on the ground while the sun is shining. To the nearest degree,
what is the angle of elevation of the sun from the end of the shadow?
Sun
35 ft
?
46 ft
____
____
a.
c.
b.
d.
8. A triangle has a side with length 9 feet and another side with length 8 feet. The angle between the sides
measures 59º. Find the area of the triangle. Round your answer to the nearest tenth.
a. 61.7 ft
c.
ft
b. 18.5 ft
d. 2124.0 ft
9. Solve the triangle.
,
, and
. Round to the nearest tenth.
N
p
M
m
n
P
a.
c.
,
,
,
,
b.
d.
,
,
,
,
____ 10. Two airplanes leave the airport at the same time. One airplane flies due east at a speed of 300 miles per hour.
The other airplane flies east-northeast at a speed of 350 miles per hour (the angle between the two directions is
22.5º). If the planes are at the same altitude, how far apart are they after 2 hours? Round your answer to the
nearest mile.
a. 272 miles
b. 136 miles
c. 100 miles
d. 727 miles
Quick check 78: you must show work to earn credits.
____ 11. A building has a triangular floor with sides of 150, 200, and 280 feet. To the nearest square foot, what is the area
of the floor of the building?
a. 14,464 ft
c. 315 ft
b. 213,334 ft
d. 2,898 ft
Answer Section: Quick Check 76 to Quick Check 77
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
B
A
C
A
D
B
A
C
C
A
A