f m∠COT=146∘
and CT⌢=35.7
units, what is the measure of OT¯¯¯¯¯¯¯?
Round your answer to the nearest whole number.
To find the measure of OT¯¯¯¯¯¯¯, we can use the Law of Cosines:
OT^2 = CO^2 + CT^2 - 2 * CO * CT * cos(∠COT)
Substitute the given values:
OT^2 = (35.7)^2 + (35.7)^2 - 2 * 35.7 * 35.7 * cos(146°)
OT^2 = 1274.49 + 1274.49 - 2 * 35.7 * 35.7 * (-0.819)
OT^2 = 1274.49 + 1274.49 + 51.37
OT^2 = 2600.35
OT = √2600.35 ≈ 51
Therefore, the measure of OT¯¯¯¯¯¯¯ is approximately 51 units.