Question

find the measure of the indicated angle to the nearest degree.
7)

38

34
8)

6

11
9)

24

22
10)

22

35

Explanation:

Step1: Identify sides for angle θ (7)

Opposite=34, Adjacent=38
$\tan\theta=\frac{34}{38}\approx0.8947$
$\theta=\arctan(0.8947)\approx42^\circ$

Step2: Identify sides for angle θ (8)

Opposite=9, Hypotenuse=11
$\sin\theta=\frac{9}{11}\approx0.8182$
$\theta=\arcsin(0.8182)\approx55^\circ$

Step3: Identify sides for angle θ (9)

Opposite=22, Adjacent=24
$\tan\theta=\frac{22}{24}\approx0.9167$
$\theta=\arctan(0.9167)\approx42^\circ$

Step4: Identify sides for angle θ (10)

Adjacent=22, Hypotenuse=35
$\cos\theta=\frac{22}{35}\approx0.6286$
$\theta=\arccos(0.6286)\approx51^\circ$

Answer:

1. 42
2. 55
3. 42
4. 51