Find the cosine ratio of angle Θ. Clue: Use the slash symbol ( / ) to represent the fraction bar, and enter the fraction with no
spaces. Triangle ABC is shown. AB measures 4. BC measures 5. CA measures 3. The angle formed at point C is marked theta, and angle A is the right angle.
1 answer:
Answer:
Cosθ = 3/5
Step-by-step explanation:
Given:
In ∆ ABC.
AB measures = 4
BC measures = 5
CA measures = 3
The angle formed at point C is marked theta
angle A is the right angle
Find attached the diagram from the given information.
We are to find the cosine ratio. To do this, we would apply SOHCAHTOA in trigonometry
Sine ratio: Sinθ = opposite /hypotenuse
Cosine ratio: Cosθ = adjacent/hypotenuse
Tangent ratio: Tanθ = opposite/adjacent
From the diagram,
adjacent = AC
hypotenuse = BC
Using the above formula,
Cosθ = adjacent/hypotenuse = AC/BC
Cosθ = 3/5
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Answer:
The area of the paralellogram is 24 square units.
Step-by-step explanation:
Geometrically speaking, the area of the parallelogram has an equation equivalent to the area formula for a rectangle, that is:
(1)
Where:
- Area.
- Base.
- Height.
The base and height of the parallelogram are, respectively:
Base
Height
Then, the area of the parallelogram is:
The area of the paralellogram is 24 square units.