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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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14 answers
  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 go you dude

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

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

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  10. 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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  11. To find the height a surveyor moves 140ft away from the base of the pole and then, with transit 4 feet, measures the angle of elevation to the top of the pole to be 44. To the nearest foot, what is the height of the pole?

    A) 145 feet
    B) 149 feet
    C) 135 feet
    D) 139 feet

    this is what I have for answers idk why it be different lol

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  12. Don't quote me but I think I might be able to give you the answers that i have (they are very much different)

    again I'm not sure if i will be able to but ill try.

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  13. lol nvm I can't, I've failed u all haha

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  14. Right Triangles and Trigonometry Unit Test Part 1
    A triangle has side lengths of 34 in., 20 in., and 47 in. Is the triangle acute, obtuse, or right?
    Correct answer B.obtuse
    In triangle ABC, ∡A is a right angle, and m∡B = 45°.
    What is the length of BC? If your answer is not an integer, leave it in the simplest radical form.
    Correct answer A.14 square root of 2 ft
    Quilt squares are cut on the diagonal to form triangular quilt pieces. The hypotenuse of the resulting triangles is 26 inches long. What is the side length of each piece?
    Correct answer B.13 square root of 2 inches
    Find the missing value to the nearest hundredth.

    sin ___ = 7/12
    Correct answer A.35.69°
    Find the missing value to the nearest hundredth.

    cos ______ = 6 /19
    Correct answer D.71.59°
    Valerie drives 500 meters up a hill that makes an angle of 15° with the horizontal. To the nearest tenth of a meter, what horizontal distance has she covered?
    Correct answer A.483.0 meters
    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.
    To the nearest foot, what is the height of the building?
    Correct answer B.154 ft
    An airplane pilot over the Pacific sights an atoll at an angle of depression of 5°. At this time, the horizontal distance from the airplane to the atoll is 4,629 meters.
    What is the height of the plane to the nearest meter?
    Correct answer B.405 meters
    To find the height of a pole, a surveyor moves 160 feet away from the base of the pole and then, with a transit 6 feet tall, measures the angle of elevation to the top of the pole to be 62°. To the nearest foot, what is the height of the pole?
    Correct answer A.307 feet
    The length of the hypotenuse of a 30°–60°–90° triangle is 12. What is the perimeter?
    Correct answer D. 18 + 6 Square root 3
    In triangle ΔDEF, m∠D = 44º, m∠E = 61º, and EF = 20 in. What is DE to the nearest tenth of an inch?
    Correct answer A.27.8 in.
    What is the measure of angle J in the triangle below? Drawing is not to scale.
    Correct answer C.35°
    A cruise ship travels 310 miles due east before turning 20° north of east. It travels 150 miles along its new course. How far is the cruise ship from its initial position?
    Correct answer C.454 miles
    In ΔFGH, FH = 7 ft, FG = 12 ft, and m∠F = 70°. Find m∠G. Round your answer to the nearest tenth.
    Correct answer D.34.4°
    In triangle ΔXYZ, XY = 14, YZ = 22, and XZ = 26. What is the measure of angle Z to the nearest degree?
    Correct answer D.33°
    A triangle has side lengths of 6, 8, and 10. Is it a right triangle? Explain.
    Answer: Because the square of the hypotenuse equals the sum of the squares of the legs, a triangle with side lengths of 6, 8, and 10 is a right triangle.
    Find the value of x. Round to the nearest degree.
    Answer: x=51
    sine=opposite/hypotenuse
    opposite=7
    hypotenuse=9
    sin x degree=7/9
    sin x degree=0.777...
    sin x =0.7778=x=51 degree

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