In ΔHIJ, the measure of ∠J=90°, JI = 48, IH = 73, and HJ = 55. What is the value of the tangent of ∠H to the nearest hundredth?In ΔJKL, the

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In ΔHIJ, the measure of ∠J=90°, JI = 48, IH = 73, and HJ = 55. What is the value of the tangent of ∠H to the nearest hundredth?In ΔJKL, the measure of ∠L=90°, JL = 60, KJ = 61, and LK = 11. What ratio represents the tangent of ∠J?

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Helga 2 months 2021-09-02T15:05:35+00:00 1 Answers 0 views 0

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    2021-09-02T15:06:49+00:00

    Answer:

    11:60

    Step-by-step explanation:

    In ΔHIJ, given the measure of ∠J=90°, JI = 48, IH = 73, and HJ = 55. We are to find tan<H

    Using SOH CAH TOA

    tan theta = opposite/adjacent

    JI is the opposite (facing m<H)

    HJ will be adjacent

    tan m<H = JI/HJ

    tan m<H = 48/55

    tan m<H = 0.87 (to the nearest hundredth)

    In ΔJKL, the measure of ∠L=90°, JL = 60, KJ = 61, and LK = 11. What ratio represents the tangent of ∠J?

    Using SOH CAH TOA

    tan theta = opposite/adjacent

    LK is the opposite (facing m<J)

    JL will be adjacent

    tan m<J = LK/JL

    tan m<H = 11/60

    Hence the ratio that represents the tangent of ∠J is 11:60

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