I.
Identification. Identify the following.
1. A
triangle with an interior right angle.
2. Branch
of mathematics that deals with the relationships of the sides and angles of a
triangle.
3. It
states that the square of the hypotenuse is equal to the sum of the squares of
the two legs of a right triangle.
4. Process
of finding the magnitudes of the components of a vector.
5. Components
along the horizontal and vertical axes.
II.
Definition. Define the following mathematically.
1. Pythagorean
theorem
2. Cosine
function
3. Sine
function
4. Tangent
function
5. Angle
of direction derived from tangent function
III.
Vector Addition Using Pythagorean Theorem.
1. A
chicken roams around a farm to look for food from his origin is 6.34 m due
North stops for a while and continues 3.89 m in the same direction. Finally, it
turns 5.30 m going to the East.
2. Toto
runs 3 m to East before he releases his paper made plane. The plane flies 11.81
m/s in the same direction as Toto when he ran. When the wind blows, the
direction of the plane changes going to the North for 5.2 m/s.
3. The
following are the applied forces of a student to a book: 15 N to the right and
8 N away from him.
IV.
Find the components of the following.
1. A
slide in a park is 630 cm long. It creates an angle with horizontal of 33⁰.
Find the components in meters.
2. A
ship sails 2036.04 km, 24.5⁰ North of East.
3. Lannie
and Lettie is pulling a cabinet using two ropes at right angle to each other.
Their resultant force is 144.22 N which is 33.69⁰ with the x-axis.
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