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24 September, 17:58

Which angle has a tangent valur of 7/24

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  1. 24 September, 21:55
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    16.26°

    Step-by-step explanation:

    Here in this question, we are asked to find the angle whose tangent values 7/24.

    Let us assume that, tan α = 7/24, ⇒ α = tan⁻¹ (7/24)

    Using the scientific calculator the value of tan⁻¹ (7/24) can be calculated easily and α = 16.26°.

    Note: If we assume a right-angled triangle having perpendicular 7 units long and base 24 units, then the hypotenuse automatically becomes √ (7²+24²) = 25 units. In that case, the angle between the hypotenuse and the base of the triangle will be 16.26°.
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