Question

Find the measure of the indicated angle to the nearest degree 9 25

Answer 1

Answer:

1. 34.4°

2. 18.8°

3. 37.7°

4. 36.6°

5. 40.6°

6. 7.5

7. 12.3

8. 14.7

9. 22.0

10. 6.3

Step-by-step explanation:

1. The missing angle is found by the use of the sine.

Sine ∅= opposite/ hypotenuse

=13/23

sin⁻¹(13/23)=34.4°

2. The missing angle is calculated by the use of the tan.

Tan∅=opposite/adjacent

=17/50

Tan⁻¹(17/50)=18.8°

3. The missing angle is calculated by the use of the tan.

Tan∅=opposite/adjacent

=17/22

Tan⁻¹ (17/22) = 37.7°

4. The missing angle is calculated by the use of the tan.

Tan∅=opposite/adjacent

=21/28

Tan⁻¹ (21/28)=36.9°

5. The missing angle is calculated by the use of the tan.

Tan∅=opposite/adjacent

=24/28

Tan⁻¹ (24/28) = 40.6°

6. Missing side is calculated by considering the tan of 58°

Tan 58°=12/x

x=12/Tan 58°

=7.5

7.  Missing side is calculated by considering the sine of 43°

Sin 43°= opposite / hypotenuse

Sin 43 =x/18

x= 18 Sin 43

=12.3

8.  Missing side is calculated by considering the sine of 62°

Sin 62° = 13/x

x=13/Sin 62°

=14.7

9.  Missing side is calculated by considering the tan of 36°

Tan 36°= 16/x

x=16/Tan 36°

=22.0

10. Missing side is calculated by considering the sine of 23°

Sin 23° = x/16

x=16 Sin 23

=6.3