Answer:
(a) 5.36°
(b) β = 84.64° -θ
(c) d = 58.36·sin(84.64° -θ)/sin(θ)
(d) see the attached table
Step-by-step explanation:
(a) The lean angle can be found from the definition of the sine function:
sin(α) = Opposite/Hypotenuse = (5.45 m)/(58.36 m) ≈ 5.36°
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(b) The angle β does not depend on d; it only depends on the angle θ. Since the sum of angles of a triangle is 180°, we have ...
θ + (90°+α) + β = 180°
β = 180° -90° -5.36° -θ
β = 84.64° - θ
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(c) The law of sines tells you ...
d/sin(β) = 58.36/sin(θ)
Using the above expression for β and multiplying by sin(β), we get ...
d = 58.36·sin(84.64° -θ)/sin(θ)
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This can be simplified, if desired, to ...
d = 58.10·cot(θ) -5.45
Answer:
The expression to find Carey's hourly rate is: . Carey's hourly rate is $10.
Step-by-step explanation:
Anderson receives 1 more than half of carey's hourly rate. If we call Anderson's rate by "a" and Carey's by "c", we can express this phrase in the following equation:
We want to find the Carey's rate, therefore we need to isolate the "c" variable.
Since Anderson earns $6, then we can find Carey's rate:
Answer:
Step-by-step explanation:
The slope of the line between two points can be found with the following equation:
Plugging in the points and
from the problem statement, we get the following: