Question 100

In ∆UVW measure of angle V is 90°. If tanU = 12/5, and UV = 10cm, then what is the length (in cm) of side VW?

Solution

Given : $$\tan U$$ = $$\frac{12}{5}$$

Also, $$\tan U=\frac{VW}{UV}=\frac{12}{5}$$

Let VW = $$12x$$ cm and UV = $$5x$$ cm

According to ques, => $$5x=10$$

=> $$x=\frac{10}{5}=2$$

$$\therefore$$ VW = $$12\times2=24$$ cm

=> Ans - (B)

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