Question : In $\triangle$UVW measure of angle V is 90°. If $\tan U=\frac{12}{5}$ and UV = 10 cm, then what is the length (in cm) of side VW?
Option 1: 26
Option 2: 24
Option 3: 25
Option 4: 5
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Correct Answer: 24
Solution :
Given: In $\triangle$UVW measure of angle V is 90°. $\tan U=\frac{12}{5}$ and UV = 10 cm
$\tan U=\frac{12}{5}$
$⇒\frac{VW}{UV}=\frac{12}{5}$
$⇒\frac{VW}{10}=\frac{12}{5}$
$\therefore VW = 24$ cm
Hence, the correct answer is 24.
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