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hanna
hanna asked in Science & MathematicsMathematics · 6 years ago

trig word problem help i'm confused?

Find the distance of a boat from a lighthouse if the lighthouse is120 m tall,and the angle of depression is 16 degrees.

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  • Jim
    Lv 7
    6 years ago
    Favorite Answer

    SOHCOHTOA

    We have O & need A so use Tan

    Tanθ = O/A

    Tan(16) = 120m)/x

    x = 120m/Tan(16)

    = 120m/0.286745385758808

    = 418.48973326090603m

    But we were only given 3 sigfigs in 120m

    So round off to

    418m distance

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