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Sliva [168]
2 years ago
5

In TUV the measure of V=90 TU=88 and UV=43 feet. Find the measure of T to the nearest tenth of a degree​

Mathematics
2 answers:
Nimfa-mama [501]2 years ago
6 0

Answer:

29.3

Step-by-step explanation:

T=29.251\approx 29.3^{\circ}

T=29.251≈29.3

ps. i just did it

LekaFEV [45]2 years ago
5 0

Answer:

m∠T = 27.9°

Step-by-step explanation:

Use the law of cosines

UV^{2}  =  TU^{2}  +  UV^{2}  - 2(TU)(UV)cos T\\43^{2}  =  88^{2}  +  90^{2}  - 2(88)(90) cos T\\1849  =  7744  +  8100  -  15840 cos T\\1849 = 15844 - 15840 cos T\\-13995  =  - 15840 cos T\\cos T =  \frac{-13995}{-15840}  = .883522...\\T =  arccos .883522... = 27.9

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