Download Geometry Chapter 8 Study Guide Vocabulary: Angle of Depression

Geometry Chapter 8 Study Guide
Vocabulary:
Angle of Depression
Angle of Elevation
Cosine
Identity
Initial Point
Magnitude
Pythagorean Triple
Resultant Vector
Sine
Tangent
Terminal Point
Vector
Problems:
1.
Find the value of x and y:
2.
y
x
Find the value of x and y:
y
12
30
10
3.



4.
5.
6.
x
Is each triangle acute, right, or obtuse?
7, 8, 9
15, 36, 39
10, 12, 16
What is tan 84° to the nearest tenth?
The tangent of an angle is 7.5. What is the measure of the angle to the nearest tenth?
What is the value of x to the nearest tenth?
7.
What is the value of x?
46.8
35.1
24
x
x
63
8.
9.
58.5
A triangle has sides of 14, 48, and 50. Is it right, acute, or obtuse?
Find the value of x:
10.
Find the value of x and y:
45
8
x
14
x
45
10
y
11.
A forest ranger looking out from a ranger’s station can see a forest fire at a 35° angle of depression. The
ranger’s position is 100 ft above the ground. How far is it from the ranger’s station to the fire?
12.
A moving van traveled 200 miles west and 70 miles south. Find the distance (to the nearest tenth) from
the point of origin to the destination, and the direction traveled (to the nearest degree).
13.
Find the value of x and y:
14.
Express sin A, cos A, and tan A as ratios:
C
y
9
3 7
x
8
60
15.
Find the value of x to the nearest degree:
A
16.
12
B
Find the value of x to the nearest tenth:
23
x
21
4 6
25
55
x
17.
12
Describe the vector using ordered pair notation.
18.
Express sin A, cos A, and tan A as ratios in
lowest terms.
y
B
125
23
2 42
42
19.
20.
21.
22.
23.
24.
x
C
19
A
Find the sum of the vectors a  5,4 , b  6,4 . Give your answer in ordered pair notation.
The sides of a triangle are 11 , 5, and 7. Is the triangle obtuse, right, or acute?
A surveyor measures the top of a building 50 feet away from him. His angle-measuring device is 4 feet
above the ground. The angle of elevation to the top of the building is 63°. How tall is the building?
A pack of wolves traveled 15 miles east and 10 miles north. Find the distance (to the nearest mile) from
their point of origin to their destination, and find the direction they traveled (to the nearest degree).
Find the measure of the acute angle that the line y 
your answer to the nearest tenth.
sin A
Show why the identity tan A 
is true.
cos A
3
x  2 makes with a horizontal line. Round
4