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Math Help - V-Gauge Problem

  1. #1
    John888
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    V-Gauge Problem

    A V-gauge is used to find the diameters of pipes. The advantage of such a device is that it is accurate and rugged, and has no moving parts to break down. The measure of angle AVB is 54. A pipe is placed in the V-shaped slot and the distance VP is used to predict the diameter. The line VP is calibrated by listing the corresponding diameters as its units. This, in effect, establishes a function between VP and d.

    a. Suppose that the diameter of a pipe is 2 cm. What is the distance VP?
    b. Suppose that the distance VP is 3.93 cm. What is the diameter of the pipe?
    c. Find the formula for d in terms of VP.
    d. Find a formula for VP in terms of d.

    Please see attachment. P in the attachment, is shaded, and is between B and V.

    Thank you.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by John888
    A V-gauge is used to find the diameters of pipes. The advantage of such a device is that it is accurate and rugged, and has no moving parts to break down. The measure of angle AVB is 54. A pipe is placed in the V-shaped slot and the distance VP is used to predict the diameter. The line VP is calibrated by listing the corresponding diameters as its units. This, in effect, establishes a function between VP and d.

    a. Suppose that the diameter of a pipe is 2 cm. What is the distance VP?
    b. Suppose that the distance VP is 3.93 cm. What is the diameter of the pipe?
    c. Find the formula for d in terms of VP.
    d. Find a formula for VP in terms of d.

    Please see attachment. P in the attachment, is shaded, and is between B and V.

    Thank you.
    Difficult to respond to this as there is no attachment visible.

    RonL
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