In ΔMNO, the measure of ∠O=90, the measure of ∠M=17, and NO = 7.5 feet. Find the length of OM to the nearest tenth of a foot.

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In ΔMNO, the measure of ∠O=90°, the measure of ∠M=17°, and NO = 7.5 feet. Find the length of OM to the nearest tenth of a foot.

Guest Apr 2, 2021

CPhill · Answer 1 · 2021-04-02T06:49:35

M

17

O 7.5 N

90

Angle N = 90 - 17 = 73°

tan N = OM / 7.5

tan 73 = OM / 7.5

7.5 * tan 73 = OM = 24.5 ft