Question

find the value of \\(\tan l\\) rounded to the nearest hundredth, if necessary.
(image of a right triangle lmn with right angle at m, lm = 36, mn = 15, ln = 39)
answer attempt 1 out of 2
\\(\tan l = \square\\) submit answer

Explanation:

Step1: Recall the tangent ratio formula

In a right - triangle, $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. For angle $L$, the side opposite to angle $L$ is $MN = 15$, and the side adjacent to angle $L$ is $LM=36$.

Step2: Calculate $\tan L$

Using the formula $\tan L=\frac{MN}{LM}$, substitute $MN = 15$ and $LM = 36$ into the formula. So, $\tan L=\frac{15}{36}$.
Simplify the fraction: $\frac{15}{36}=\frac{5}{12}\approx0.42$ (rounded to the nearest hundredth).

Answer:

$0.42$