Math

1. To find the height of a pole, a surveyor moves 120 feet away from the base of the pole and then, with a transit 8 feet tall, measure the angle of elevation to the top of the pole to be 36*. to the nearest foot, what is the height of the pole?

A) 87 feet.
B) 95 feet.
C) 71 feet.
D) 79 feet.

To me, this question is worded weirdly and I'm not getting what they are asking. What does it mean "transit 8 feet tall"? Could someone help solve this please? Thank you so much!

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  1. The transit here is extraneous information-- it's simply a device used to measure angles (I assume).

    We know that the base of the right triangle is 120 feet. (Notice that the transit of 8ft is nonsensical in this problem doesn't make sense because we're solving for the height of the pole / triangle so the transit can't be the height, and that the hypotenuse is the longest side of the triangle, yet 8 < 120.) We know the angle of elevation is 36 degrees, and we want to know the height, which will be the opposite side, relative to the angle given.

    120sin(36)-- I don't have a calculator on me.

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  2. Actually, wait. You should be using tan, since you're given the adjacent side. (The lesson here: always draw a picture.)

    120tan(36).

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  3. I got,

    0.5877 and I know that's definitely not correct. What am I doing wrong?

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  4. ^ Sorry! That was supposed to be my name!

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  5. Never mind! I redid it and got 87.185, thank you so much!

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  6. way to fece you dude

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  7. i mean go. Autocorrect lolololol

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  8. The correct answer is 95 feet. Just took the test.

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  9. Just took the test :)

    1.) A, right
    2.) C, 12(sqrt)2 ft
    3.) C, 17(sqrt)2 in
    4.) D, x=12; y=4(sqrt)3
    5.) C, 63.26
    6.) A, 483.0 meters
    7.) B, 154 ft
    8.) A, 458 meters
    9.) B, 95 ft
    10.) B, 73.2 in^2
    11.) B, 6
    12.) A, 27.8 in
    13.) C, 35
    14.) B, 35.9
    15.) A, 34
    16.) Yes, a triangle with the side lengths of 6, 8, and 10 is a right triangle because the square of the hypotenuse equals the sum of the squares of the legs.

    amosc :) - annee-mrie

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  10. Y’all need to be like this homie frick ms. Sue she can a pean

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  11. GEOM B: U3 L7 Right Triangles and Trigonometry Unit Test
    I didn't have anything I Gotchu had an plus my test was shorter so, here's the questions and answers I have.

    I'm sorry if this isn't like yours this is just the test I had!

    1. A triangle has side lengths of 24 in., 32 in., and 40 in. Is the triangle acute, obtuse, or right?
    A, right*

    2. In triangle ABC, A is a right triangle, and m B = 45.
    What is the length of BC? If your answer is not an integer, leave it in simplest radical form.
    B, 16 square root 2ft*

    3. Quilt squares are cut on the diagonal to form quilt triangular pieces. The hypotenuse of the resulting triangles are 34 inches long. What is the side length of each piece?
    C, 17 square root 2 inches*

    4. Find the missing value to the nearest hundredth.
    sin __________ = 8/15
    B, 32.23*

    5. Find the missing value to the nearest hundredth.
    cos __________ = 7/18
    A, 67.11*

    6. Victor drives 300 meters up a hill that makes an angle of 13 with the horizontal. To the nearest tenth of a meter, what horizontal distance has he covered?
    B, 292.3 meters*

    7. The students in Mr. Collin's class used a surveyor's measuring device to find the angle from their location to the top of a building. They also measured their distance from the bottom of the building. The diagram shows the angle measure and the distance.
    A, 105 ft*

    8. An airplane pilot over the Pacific sights an atoll at an angle of depression of 10. At this time, the horizontal distance from the airplane to the atoll is 5,172 meters.
    What is the height of the plane to the nearest meter?
    D, 912 meters*

    9. Using compass directions, what is the direction of the vector? The diagram is not drawn to scale.
    B, 45 west of north*

    10. To find the height of a pole, a surveyor moves 120 feet away from the base of the pole and then, with transit 8 feet tall, measures the angle of elevation to the top of the pole to be 36. To the nearest foot, what is the height of the pole?
    B, 95 feet*

    11. The length of the hypotenuse of a 30 - 60 - 90 triangle is 18. What is the perimeter?
    C, 27 + 9 square root 3*

    12. A triangle has side lengths of 6, 8, and 10. Is it a right triangle? Explain.
    *Short answer question, you have to do this on your own sorry!*

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