Question

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?

Answer 1

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.