Geometry II

A conveyor belt carries supplies from the first floor to the second floor, which is 12 feet higher. The belt makes a 60° angle with the ground. How far do the supplies travel from one end of the conveyor belt to the other? Round your answer to the nearest foot.
21 ft
7 ft
14 ft
17 ft

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  1. 12/x = sin 60°

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  2. What? How?

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  3. ok -- apparently trig is not in your toolkit.

    So, do you know that the sides of a 30-60-90 triangle are in the ratios

    1:√3:2 ?

    If so, draw your diagram, and you will see that you want the hypotenuse of a 30-60-90 triangle whose longer leg is 12 ft. The above ratios tell you that the hypotenuse is 2/√3 times as long as the longer leg, so your conveyor belt has length

    12 * 2/√3 = 13.86

    or, 14 ft.

    If that makes no sense, then you must have learned some other factoids about righ triangles. Use them.

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  4. I'm working on it; just wasn't thinking.

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  5. or the sine trig ratio is sin of angle = opposite/hypotenuse, so in solving for the hypotenuse you have the opposite of angle 60 (12) and the hypotenuse you are solving for is x so sin 60 degrees= 12/x = 12sin60=x

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  6. Here is the Trigonometry Quiz Part 1

    1) Wayne used this diagram to compute the distance from Ferris, to Dunlap...
    25 mi.

    2) A triangle has side lengths of 18cm, 80 cm, and 81 cm. Classify it as acute, obtuse, or right.
    Acute

    3) The area of a square garden is 200 m^2. How long is the diagonal?
    20 m

    4) A conveyor belt... (I'm not going to type this all down)
    14 ft

    5) Find the missing value to the nearest hundredth.
    tan ___ = 73
    89.22

    6) Write the ratio for sin A and cos A. The triangle is not drawn to scale.
    sin A = 48/50, cos A = 14/50

    7) (Sorry you're on your own.)

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  7. it’s 14 because the exact answer is 13.8 and it says to round up!

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