Round the side length to the nearest tenth and angle measures to the nearest degree

1. <A° = 50°

2. CB = 10.7

3. AB = 14

Step-by-step explanation:

1. Determination of angle A.

A° + B° = C°

B° = 40°

C° = 90°

A° + 40° = 90°

Collect like terms

A° = 90° – 40°

<A° = 50°

2. Determination of CB

Angle B = 40

Opposite = AC = 9

Adjacent = CB =?

Length CB can be obtained by using Tan ratio as illustrated below:

Tan B = Opposite / Adjacent

Tan 40 = 9 / CB

0.8391 = 9 / CB

Cross multiply

0.8391 × CB = 9

Divide both side by 0.8391

CB = 9 / 0.8391

CB = 10.7

3. Determination of AB

Angle B = 40

Opposite = AC = 9

Hypothenus = AB =?

The length AB can be obtained by using Sine ratio as illustrated below:

Sine B = Opposite / Hypothenus

Sine 40 = 9 / AB

0.6428 = 9 / AB

Cross multiply

0.6428 × AB = 9

Divide both side by 0.6428

AB = 9 / 0.6428

AB = 14

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step-by-step explanation: