Download Practice A - Collins Hill High School

Name ________________________________________ Date __________________ Class__________________
LESSON
10-3
Practice A
Angles of Elevation and Depression
In Exercises 1 and 2, fill in the blanks to complete the definitions.
1. An angle of elevation is the angle formed by a _______________ line
and a line of sight to a point _______________ the line.
2. An angle of _______________ is the angle formed by a horizontal line and
a line of sight to a point _______________ the line.
Ben is on the diving board at the neighborhood
pool. Jenna is in the pool, and a lifeguard sits at
her station on the opposite end of the pool.
Classify each angle as an angle of elevation or
an angle of depression.
3. ‘1 ______________________
4. ‘2 ______________________
5. ‘3 ______________________
6. ‘4 ______________________
Lisa sees a bird’s nest high in a tree. She decides to use
trigonometry to estimate how high the nest is.
7. Lisa walks 15 feet from the base of the tree. She measures an angle
of elevation from the ground to the nest of 62q. Find how high the
nest is above the ground, to the nearest foot.
_____________________________
8. Lisa spots the mother bird on a branch above the nest. She
measures an angle of elevation to the bird of 67q. Find how
high the mother bird is above the ground, to the nearest foot.
_____________________________
Zelda, a trapeze artist, stands on a 10-meter-high platform.
9. Zelda measures a 40q angle of depression to
the base of the other platform. Find the distance
between the bases of the platforms to the nearest
tenth of a meter
_____________________________
10. Zelda’s partner, Zev, is on the ground doing a safety
check on the net. Zelda measures a 79q angle of
depression to Zev. Find the distance to the nearest
tenth of a meter from Zev to the base of Zelda’s platform.
_____________________________
© Houghton Mifflin Harcourt Publishing Company
289
Holt McDougal Analytic Geometry
MN 6; PN | 8.49; m‘M 90q; m‘P
45°; m‘N 45°
13. MP
7. 28 feet
9. 11.9 meters
14. KL 7; LJ 3; JK | 7.62; m‘L 90°; m‘J |
67°; m‘K | 23°
10. 1.9 meters
Practice B
1. angle of elevation
Challenge
3
1.
5
2. angle of depression
4
2.
3
3. angle of depression
4. angle of elevation
3. 53.1°
4. sin E
5
; cos E
5
2 5
; m‘E | 26.6°
5
5. sin M
1
; tan M
2
3
; m‘M
3
2
; tan R
2
1; m‘R
45°
7. sin K
3
; cos K
2
1
; m‘K
2
60°
2. 22° to 27°
3. 64°
4. 34.9 ft
5. A
6. G
7. D
8. F
8. 1.8 m
1. 82 ft 10 in.
2. 5 ft 10 in.
3. 128 ft 8 in.
4. Possible answer: m‘C 38° and
m‘ADB 52°. These angles are
complementary. So UABD a UACB.
Lamar can use similarity ratios to find the
AC AB
AB 2
.
or AC
distance AC:
AB AD
AD
Subtracting AD from AC leaves CD, the
width of the river.
5. 7.5 m
6. 95.2 m
7. 9° or N 81° E; 17.9 km/h
1. finding the measures of all unknown
sides and angles of the triangle
§9·
2. m‘B tan1 ¨© 4 ¸¹
AB
7. 31 ft 10 in.
Practice C
Reading Strategies
4
6. 37 ft 1 in.
10. Mr. Shea lives above Lindsey.
Problem Solving
1. 16°
5. 34 ft 2 in.
9. 65°
30°
6. cos R
3. sin 24°
8. 35 feet
Reteach
4. 67°; 23°; 12
1. elevation
2. depression
3. depression
4. elevation
5. elevation
6. depression
7. depression
8. elevation
9. 11.5 m
10-3 ANGLES OF ELEVATION AND
10. 23 ft
11. 18 ft
DEPRESSION
12. 35 ft
Challenge
Practice A
1.
1. horizontal; above
2. depression; below
3. angle of depression
4. angle of elevation
5. angle of depression
2. tan
6. angle of elevation
T
21.4
31.4
3. 34.3q
© Houghton Mifflin Harcourt Publishing Company
A57
Holt McDougal Analytic Geometry