Question

question 15
1 pts
evaluate to the nearest tenth:
tan 72.3 degrees
0.3
3.1
1.0
1.1
question 16
1 pts
evaluate to the nearest tenth:
sin 12° 25
4.7
1.0
1.1
0.2

Explanation:

Step1: Use calculator to find $\tan72.3^{\circ}$

Using a scientific calculator, input $\tan(72.3)$
$$\tan(72.3)\approx3.1$$

Step2: Convert $12^{\circ}25'$ to decimal degrees

Since $1^{\circ} = 60'$, then $25'=\frac{25}{60}\approx0.4^{\circ}$, so $12^{\circ}25'\approx12.4^{\circ}$

Step3: Use calculator to find $\sin12.4^{\circ}$

Using a scientific calculator, input $\sin(12.4)$
$$\sin(12.4)\approx0.2$$

Answer:

For $\tan72.3^{\circ}$: B. $3.1$
For $\sin12^{\circ}25'$: D. $0.2$