At a certain point from a pole, the angle of the elevation to the top of the pole is 28 degrees if the pole is 6.3 feet tall, what is the di

Question

At a certain point from a pole, the angle of the elevation to the top of the pole is 28 degrees if the pole is 6.3 feet tall, what is the distance from the pole

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Thanh Thu 2 days 2021-07-22T19:26:41+00:00 2 Answers 2 views 0

Answers ( )

    0
    2021-07-22T19:28:23+00:00

    Answer:

    11.85

    Step-by-step explanation:

    Tan 28 = opposite / adjacent

    0
    2021-07-22T19:28:24+00:00

    Answer:

    the distance from the pole is 11.85 ft.

    Step-by-step explanation:

    Given;

    the elevation to the top of the pole, θ = 28⁰

    height of the pole, h = 6.3 ft

    let the distance from the pole = x

    If a sketch of a right triangle is made as follows, it will be observed that the base of the triangle forms the adjacent side of the triangle, which is equal to x.

                                    ↑

                                    ↑ h = 6.3 ft

                                    ↑

             28⁰ —————

                           x

    tan(28) = \frac{6.3}{x} \\\\x = \frac{6.3}{tan(28)} \\\\x = 11.85 \ ft

    Therefore, the distance from the pole is 11.85 ft.

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