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7.1b 7.2 7.3 7.4
Trigonometry7.1
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Credits
7.5
100
200
300
400
500
600
7.1- 1007.1- 100
Answer
Solve for x:
3
3
x45
45
7.1 - 2007.1 - 200
Answer
Solve for x:
5
5
x45
45
7.1- 3007.1- 300
Answer
Solve for x and y:
x
y
845
45
2
7.1- 4007.1- 400
Answer
Solve for x and y:
x
y
745
45
7.1 - 5007.1 - 500
Answer
Solve for x and y:
x
y
845
45
7.1- 6007.1- 600
Answer
Find the length of the diagonal of a square that has an area of 25in²
7.1- 100 Answer7.1- 100 Answer
Answer:
Solve for x:
3
3
x45
45
23
7.1- 200 Answer7.1- 200 Answer
Answer:
Solve for x:
5
5
x45
45
25
7.1- 300 Answer7.1- 300 Answer
Answer: x = 8, y = 8
Solve for x and y:
x
y
45
45
8 2
7.1- 400 Answer7.1- 400 Answer
Answer: x = y =
Solve for x and y:
x
y
745
45
2
27
7.1- 500 Answer7.1- 500 Answer
Answer: x = y =
Solve for x:
x
y
845
45
24
7.1- 600 Answer7.1- 600 Answer
Answer: in
Find the length of the diagonal of a square that has an area of 25in²
25
7.2 - 100
Answer
Solve for x and y:
30
60
y
2
x
7.2 - 200
Answer
Solve for x and y:
30
60
y
5
x
7.2- 300
Answer
Solve for x and y:
30
60
y
x
6
7.2 – 400 Daily Double
Answer
Solve for x and y:
30
60
y
x
36
7.2- 500
Answer
Solve for x and y:
30
60
x
y37
7.2- 600
Answer
Find the length of the altitude of an equilateral triangle with sides of 10 inches.
7.2 - 100 Answer
Answer: x = 4, y =2
Solve for x and y:
30
60
y
2
x
3
7.2 - 200 Answer
Answer: x = 10, y = 5
Solve for x and y:
30
60
y
5
x
3
7.2 - 300 Answer
Answer: x = 3, y =
Solve for x and y:
30
60
y
x
6
33
7.2 - 400 Answer Daily Double
Answer: x = 18, y =
Solve for x and y:
30
60
y
x
36
318
7.2 - 500 Answer
Answer: x = 7, y = 14
Solve for x and y:
30
60
x
y37
7.2 - 600 Answer
Answer:
Find the length of the altitude of an equilateral triangle with sides of 10 inches.
35
7.3 – 100
Answer
Find tanA
A
BC3
4 5
7.3 - 200
Answer
Find tanB
A
BC3
4 5
7.3 – 300
Answer
Solve for x:
x
12
40
7.3 - 400
Answer
Solve for x:
40
x
70
7.3 - 500
Answer
Solve for x:
40
x
10
7.3 - 600
Answer
Given a right triangle, if the side adjacent to a 23° angle is 10 inches, find the length of
the opposite side.
7.3 - 100 Answer
Answer: tanA = 3/4
Find tanA
A
BC3
4 5
7.3 - 200 Answer
Answer: tan B = 4/3
Find tanB
A
BC3
4 5
7.3 - 300 Answer
Answer: x = 10.07
Solve for x:
x
12
40
7.3 - 400 Answer
Answer: x = 14.56
Solve for x:
40
x
70
7.3 - 500 Answer
Answer: 14.04°
Solve for x:
40
x
10
7.3 - 600 Answer
Answer: 4.2 in
Given a right triangle, if the side adjacent to a 23° angle is 10 inches, find the length of
the opposite side.
7.4- 100
Answer
Find the sinAA
BC3
4 5
7.4 - 200
Answer
Find the cos BA
BC3
4 5
7. 4- 300
Answer
Solve for x:
59
x28
7.4 - 400
Answer
Solve for x:
72
x
40
7.4 - 500
Answer
Solve for x:
x
523
7.4 – 600 Daily Double
Answer
Jamie is flying a kite. She let out 40 ft of string and the kite is 28 ft off of the ground. What is the angle
of elevation?
7.4 - 100 Answer
Answer: 3/5
Find the sinAA
BC3
4 5
7.4 - 200 Answer
Answer: 3/5
Find the cosBA
BC3
4 5
7.4 - 300 Answer
Answer: x = 24
Solve for x:
59
x28
7.4 - 400 Answer
Answer: x = 12.36
Solve for x:
72
x
40
7.4 - 500 Answer
Answer: x = 12.6°
Solve for x:
x
523
7.4 - 600 Answer Daily Double
Answer: 44.4°
Jamie is flying a kite. She let out 40 ft of string and the kite is 28 ft off of the ground. What is the angle
of elevation?
7.5 - 100
Answer
A hot air balloon over Park City, UT is 760 feet above the ground.
The angle of depression from the balloon to an observer is 5.25°.
Assuming the ground is flat, how far is the observer from the point
on the ground directly under the balloon?
7.5- 200 Daily Double
Answer
The angle of elevation of a space shuttle from Cape Canaveral
is 17° when the shuttle is directly over a ship 12 miles
downrange. What is the altitude of the shuttle when it is directly
over the ship?
7.5- 300
Answer
A ranger spots a fire from a 73 foot tower in Yellowstone
National park. She measures the angle of depression to be
15°. How far is the fire from the tower?
7.5- 400
Answer
The angle of elevation of the top of the Ulm Cathedral from a
point 300 feet away from the base of the steeple on level ground
is 60°. Find the height of the cathedral.
7.5- 500
Answer
A ramp leading up to a freeway overpass is 470 ft long and rises 32 ft. What is the average angle of inclination of the ramp to the nearest tenth of a degree?
7.5 - 600
Answer
The angle of depression is 19° from a point 7256 ft above sea level on the north rim of the Grand Canyon level to a point 6159 ft above sea level on the south rim. How wide is the canyon at that point?
7.5- 100 Answer
Answer: 8271.02 ft
A hot air balloon over Park City, UT is 760 feet above the ground.
The angle of depression from the balloon to an observer is 5.25°.
Assuming the ground is flat, how far is the observer from the point
on the ground directly under the balloon?
7.5- 200 Daily Double Answer
Answer: 3.7 miles
The angle of elevation of a space shuttle from Cape Canaveral
is 17° when the shuttle is directly over a ship 12 miles
downrange. What is the altitude of the shuttle when it is directly
over the ship?
7.5- 300 Answer
Answer: 272.4 ft
A ranger spots a fire from a 73 foot tower in Yellowstone
National park. She measures the angle of depression to be
15°. How far is the fire from the tower?
7.5- 400 Answer
Answer: 259.8 ft
The angle of elevation of the top of the Ulm Cathedral from a
point 300 feet away from the base of the steeple on level ground
is 60°. Find the height of the cathedral.
7.5- 500 Answer
Answer: 3.9 ft
A ramp leading up to a freeway overpass is 470 ft long and rises 32 ft. What is the average angle of inclination of the ramp to the nearest tenth of a degree?
7.5- 600 Answer
Answer: 3075.6 ft
The angle of depression is 19° from a point 7256 ft above sea level on the north rim of the Grand Canyon level to a point 6159 ft above sea level on the south rim. How wide is the canyon at that point?
7.6- 100
Answer
7.6- 200
Answer
7.6- 300
Answer
7.6- 400
Answer
7.6- 500
Answer
7.6- 600
Answer
Verify:
7.6- 100 Answer
Answer: 3
5
7.6- 200 Answer
Answer:4
5
7.6- 300 Answer
Answer:7
25
7.6- 400 Answer
Answer: 2 5
7.6- 500 Answer
Answer:3
4
7.6- 600 Answer
Answer:
Verify:
2sin sinsin
cos cos
Use Pythagorean identity
2 21 cossin
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