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

User Kasperd
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1 Answer

5 votes

Answer:

49.39 units.

Explanation:

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

TU = 18.5

∠T = 68 degrees


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

The length of segment TV is 49.39 units.

User Danylo Gudz
by
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