Given a right triangle. anglea is 51∘. A line is drawn from anglec (90∘) to the hypotenuse, creating a 7∘ angle between the line and the cathetus adjusted to angleb. The cathetus adjusted to angel is 47cm. Find the length of the line drawn.

Question

Given a right triangle. anglea is 51∘. A line is drawn from anglec (90∘)  to the hypotenuse, creating a 7∘ angle between the line and the cathetus adjusted to angleb. The cathetus adjusted to angel is 47cm. Find the length of the line drawn.

Benedict · Accepted Answer

∠b=180∘−∠c−∠a  ∠b=180∘−90∘−51∘  ∠b==46∘  Let the line be x. Use the law of Sines:  sin⁡46∘47=sin⁡51∘x  x=47sin⁡51∘sin⁡46∘  x≈50.8cm

Given a right triangle. anglea is 51∘. A line is drawn from anglec (90∘) to...

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