Washing 24 cars in 4 hours what’s the relationship rate
2 answers:
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Answer:
Step-by-step explanation:
<u>Application of Right Triangles </u>
The right triangles have an internal angle of 90°, we can take advantage of it because the fundamental trigonometric functions can be expressed to relate angles and lengths in a right triangle.
Please refer to the image below to understand the upcoming relations and variables. The lower triangle has an angle \theta and h_h and D are the opposite and adjacent legs respectively, then:
Where h_h is the height of the tower. We can solve:
For the big triangle:
Where is 8° and
is the height of the hill. Knowing that:
We replace it into the above equation
We have an equation in , but we need to expand the tangent of a sum of angles:
Rearranging
Multiplying
Simplifying, we have a second-degree equation for tan\theta
Using the known values D=110, ht=30,
Solving the equation, we get two answers:
This solution is not feasible, since the angle cannot exceed 90° or go below 0°, thus the other answer
is the correct option. Computing the angle of inclination of the hill:
Answer:
see below
Step-by-step explanation:
Put the (x, y) values of point F into the equation for line AG and see if they work:
y = (b/(a+c))x
For (x, y) = (a+c, b), this is ...
b = (b/(a+c))(a+c) = b·(a+c)/(a+c) = b·1 = b . . . . . a true statement
Yes, F lies on line AG.
