Cosine Ratio (CAH)

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Show your work for each problem.

1.
In a right triangle, the cosine of an angle equals:
1. a)Hypotenuse / Adjacent
2. b)Opposite / Adjacent
3. c)Adjacent / Hypotenuse
4. d)Opposite / Hypotenuse
2.
What is ?
1. a)
2. b)
3. c)
4. d)
3.
What is ?
4.
In a right triangle, the adjacent side is and the hypotenuse is . What is ?
5.
What is ?
1. a)
2. b)
3. c)
4. d)
6.
A cable is meters long and makes a angle with the ground. How far from the base is the cable anchored? (Use cos(50) = 0.643, round to 1 decimal place)
7.
A ramp covers a horizontal distance of meters and makes a angle with the ground. How long is the ramp? (Use cos(15) = 0.966)
8.
A helicopter travels km at a climb angle of . How much horizontal distance does it cover? (Use cos(25) = 0.906)
9.
Which formula would you use to find the hypotenuse when you know the adjacent side and the angle?
1. a)hypotenuse = cos(theta) / adjacent
2. b)hypotenuse = adjacent + cos(theta)
3. c)hypotenuse = adjacent x cos(theta)
4. d)hypotenuse = adjacent / cos(theta)
10.
A ladder is meters long and its base is meters from the wall. What angle does the ladder make with the ground? (Round to the nearest degree)
11.
A support wire for a tower is meters long and makes a angle with the ground. How far from the tower base is the wire anchored? (Use cos(55) = 0.574, round to 1 decimal place)
12.
In a right triangle, the adjacent side is cm and the hypotenuse is cm. Find the angle theta. (Round to the nearest degree)
13.
What is the value of ? (Give your answer as a decimal rounded to 3 decimal places)
14.
If , what is the value of theta?
1. a)30 degrees
2. b)90 degrees
3. c)60 degrees
4. d)45 degrees
15.
A roof has a horizontal span of meters. If the roof makes a angle with the horizontal, how long is the slanted roof surface? (Use cos(20) = 0.940, round to 2 decimal places)