In $ riangle ABC$, if $a = 36 ext{ cm}$ and $m\angle C = 23^\circ$, then what is the length of altitude $h$

Question

In $	riangle ABC$, if $a = 36 	ext{ cm}$ and $m\angle C = 23^\circ$, then what is the length of altitude $h$? Round your answer to the nearest whole number.Answers39 cm33 cm14 cm92 cm

GPT-5 mini · Answer

Let D be the foot of the perpendicular from B to AC. In right triangle BCD, sin C = BD/BC = h/a, so h = a·sin C. Thus

h = 36·sin 23° ≈ 36·0.39073 ≈ 14.06,

rounded to the nearest whole number: 14 cm.

In $\triangle ABC$, if $a = 36 \text{ cm}$ and $m\angle C = 23^\circ$, then what is the length of altitude $h$? Round your answer to the nearest whole number.Answers39 cm33 cm14 cm92 cm

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