Question

identifying trig ratios (diagram), level 1
score: 1/10 penalty: none
question
find the value of tan v rounded to the nearest hundredth, if necessary.
answer attempt 1 out of a
tan v =

Explanation:

Step1: Find the length of \( UV \)

Use the Pythagorean theorem \( a^{2}+b^{2}=c^{2} \). Here \( c = 35 \), \( a=28 \), and \( b = UV \).

$$
LATEXBLOCK0
$$

Step2: Calculate \( \tan V \)

The formula for tangent in a right - triangle is \( \tan\theta=\frac{\text{opposite}}{\text{adjacent}} \). For \( \angle V \), the opposite side to \( \angle V \) is \( PU = 28 \) and the adjacent side is \( UV=21 \).

$$ \tan V=\frac{PU}{UV}=\frac{28}{21}=\frac{4}{3}\approx1.33 $$

Answer:

\( 1.33 \)