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gtnhenbr [62]
4 years ago
15

Given right triangle TUV shown below with TU = 18.5 and ∠T = 68 degrees, which of the following is closest to the length of segm

ent TV?
Mathematics
1 answer:
kap26 [50]4 years ago
5 0

Answer:

49.39 units.

Step-by-step explanation:

In Right Triangle TUV, \angle U is a right triangle.

TU = 18.5

∠T = 68 degrees

\cos \theta =\dfrac{Adjacent}{Hypotenuse} \\$Using the trigonometric formula above:\\\cos T =\dfrac{TU}{TV}\\\\\cos 68^\circ =\dfrac{18.5}{TV}\\\\$Cross multiply\\TV*\cos 68^\circ=18.5\\\\TV=\dfrac{18.5}{\cos 68^\circ}\\\\TV=49.39$ units

The length of segment TV is 49.39 units.

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