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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Total amount for investment = $32000
Rate of interest for Stock A = 4%
Rate of interest for Stock B = 7%
Jim is hoping to earn $2,000 in interest.
To find:
The amount of investments in Stock A and Stock B.
Step-by-step explanation:
Let amount of investments in Stock A = $x
Amount of investments in Stock B = $y
Total amount for investment = $32000
...(i)
Rate of interests in Stock A and Stock B are 4% and 7%. Total interests is $2000.
...(ii)
From (i) and (ii), we get
Divide both sides by -0.03.
Put x=8000 in (i).
Therefore, the amount of investments in Stock A and Stock B are $8000 and $24000 respectively.
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