Question

In triangle ABC,m angle C=90^ , m angle A=54^ , and CA = 10 centimeters . What is the length of overline AB to the nearest centimeter

Answer 1

AB = 17 cm

Step-by-step explanation:

NOTE: This is a mathematics question. Nevertheless, the answer to the question is given below

Please see attached photo for diagram.

The length of AB can be obtained as follow:

Angle A = 54°

Adjacent = 10 cm

Hypothenus = AB =?

Using the Cos ratio, we can simply obtain the length of AB as follow:

Cos A = Adjacent /

Cos 54 = 10 / AB

0.5879 = 10 /AB

Cross multiply

0.5879 × AB = 10

Divide both side by 0.5878

AB = 10 / 0.5878

AB = 17 cm