In ΔMNO, the measure of ∠O=90°, the measure of ∠N=62°, and NO = 66 feet. Find the length of MN to the nearest tenth of a foot.
1 answer:
Answer:
140.6 feet
Step-by-step explanation:
In ΔMNO, the measure of ∠O=90°, the measure of ∠N=62°, and NO = 66 feet. Find the length of MN to the nearest tenth of a foot.
Step 1
We have to find Angle M
Sum of angles in a triangle = 180°
M + N + O = 180°
M = 180° - ( N + O)
M = 180° - ( 90° + 62°)
M = 28°
Step 2
We find the length of MN
We solve using Sine rule
MN/sin O = NO/sin M
MN/sin 90 = 66/sin 28
Cross Multiply
MN = sin 90 × 66/sin 28
MN = 140.58 feet
Approximately = 140.6 feet
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