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Geometry problem: The legs of a right triangle are 12 and 35 inches. What is the measure of the angle opposite the 12-inch leg?

Science & Mathematics by Anonymous 2018-06-06 16:03:51

Social Science

Geometry problem: The legs of a right triangle are 12 and 35 inches. What is the measure of the angle opposite the 12-inch leg?

7 answers

  • Anonymous

    theta = ATAN(12/sqrt(12^2 + 35^2)) = 16.8 deg. ANS.

  • Anonymous

    x = 20.051°

  • Anonymous

    Draw a picture, then use SOH , CAH or TOA

  • Anonymous

    tanθ =12/35 θ = tan⁻¹(12/35) ≈ 18.92464°

  • Anonymous

    // The definition of tangent is opposite over adjacent (see diagram below) .............12" tan x = ------ .............35" .................12" x = tan‾¹ (------) .................35" x ≈ 18.9° (rounded).............ANS

  • Anonymous

    tan(A) = 12/35 = 0.342857142857, so A=arctan(0.342857142857) =.330297354829 radians. Multiply by 180/pi get A=18.924644416°.

  • Anonymous

    tan(a) = 35/12 a = arctan(35/12) a = 71.075355583948765217719858916516.... 71 degrees

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