Question

question
find the value of tan m rounded to the nearest hundredth, if necessary.
(right triangle mno with right angle at n, mn = 30, no = √41)

Explanation:

Step1: Recall tangent ratio definition

For angle $M$, $\tan M = \frac{\text{opposite side}}{\text{adjacent side}}$

Step2: Identify sides for $\angle M$

Opposite side to $M$: $\sqrt{41}$, Adjacent side to $M$: $30$

Step3: Calculate $\tan M$

$\tan M = \frac{\sqrt{41}}{30} \approx \frac{6.4031}{30} \approx 0.2134$

Step4: Round to nearest hundredth

Round $0.2134$ to two decimal places.

Answer:

$0.21$