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A portable conveyor user by roofers is 11.0m long. The angle between the conveyor and the ground can be adjusted from 30° to 70°. What is the range of heights that the conveyor can reach?

Answer 1

Quinn Anderson

I found:
#5.5m<=##h##<=10.3#

Have a look:

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Answer 2

Kai Anderson

To find the range of heights that the conveyor can reach, we can use trigonometry. The height reached by the conveyor will depend on the angle of elevation.

Using the formula for the height of a right triangle given the length of the hypotenuse (11.0m) and the angle of elevation:

[ \text{Height} = \text{Length} \times \sin(\text{Angle of elevation}) ]

We can calculate the height for both the minimum angle (30°) and the maximum angle (70°).

For the minimum angle (30°): [ \text{Height}_{\text{min}} = 11.0m \times \sin(30°) ]

For the maximum angle (70°): [ \text{Height}_{\text{max}} = 11.0m \times \sin(70°) ]

Calculate these values to find the range of heights that the conveyor can reach.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.