A flag pole is attached to the side of a building 5.00 ft off the ground and it hangs down 30 degrees from the vertical. If the pole is 6.00

Question

A flag pole is attached to the side of a building 5.00 ft off the ground and it hangs down 30 degrees from the vertical. If the pole is 6.00 ft in length, how high in feet is the top of the pole at its highest point (sticking out from building)? (Hint: draw a picture) E​

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Thu Cúc 2 months 2021-07-29T22:18:56+00:00 1 Answers 3 views 0

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    2021-07-29T22:20:15+00:00

    Answer:

       h ’= 0.6963 m

    this is the height of the part of the post it supports.

    Explanation:

    For this exercise we can use the trigonometric relationships

    Let’s start by finding the vertical component of the height of the pole

                 cos 30 = x / L

                 x = L cos 30

                 x = 6 cps 30

                 x = 5.196 m

    with this length, the post has the same height as the building, so there are

                   Aₓ = L -x

                   Δx = 6 -5.196

                   Δx = 0.804 ft

    the height of this section is

                   cos 30 = h ’/ Dx

                   h ’= 0.804 cos30

                   h ’= 0.6963 m

    this is the height of the part of the post it supports.

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